Relevant bibliographies by topics / Modele heisenberg

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  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Modele heisenberg'

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Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Modele heisenberg"

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Dzhunushaliev, V., and A. Makhmudov. "Scalar model of glueball in nonperturbative quantisation à la heisenberg." International Journal of Mathematics and Physics 6, no. 2 (2015): 74–79. http://dx.doi.org/10.26577/2218-7987-2015-6-2-74-79.

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Meljanac, Stjepan, and Anna Pachoł. "Heisenberg Doubles for Snyder-Type Models." Symmetry 13, no. 6 (June 11, 2021): 1055. http://dx.doi.org/10.3390/sym13061055.

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A Snyder model generated by the noncommutative coordinates and Lorentz generators closes a Lie algebra. The application of the Heisenberg double construction is investigated for the Snyder coordinates and momenta generators. This leads to the phase space of the Snyder model. Further, the extended Snyder algebra is constructed by using the Lorentz algebra, in one dimension higher. The dual pair of extended Snyder algebra and extended Snyder group is then formulated. Two Heisenberg doubles are considered, one with the conjugate tensorial momenta and another with the Lorentz matrices. Explicit formulae for all Heisenberg doubles are given.
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DIGERNES, TROND, and V. S. VARADARAJAN. "MODELS FOR THE IRREDUCIBLE REPRESENTATION OF A HEISENBERG GROUP." Infinite Dimensional Analysis, Quantum Probability and Related Topics 07, no. 04 (December 2004): 527–46. http://dx.doi.org/10.1142/s021902570400175x.

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In its most general formulation a quantum kinematical system is described by a Heisenberg group; the "configuration space" in this case corresponds to a maximal isotropic subgroup. We study irreducible models for Heisenberg groups based on compact maximal isotropic subgroups. It is shown that if the Heisenberg group is 2-regular, but the subgroup is not, the "vacuum sector" of the irreducible representation exhibits a fermionic structure. This will be the case, for instance, in a quantum mechanical model based on the 2-adic numbers with a suitably chosen isotropic subgroup. The formulation in terms of Heisenberg groups allows a uniform treatment of p-adic quantum systems for all primes p, and includes the possibility of treating adelic systems.
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Zhou, Yinfei, Shuchao Wan, Yang Bai, and Zhaowen Yan. "Three Types Generalized Zn-Heisenberg Ferromagnet Models." Advances in Mathematical Physics 2020 (January 31, 2020): 1–7. http://dx.doi.org/10.1155/2020/2076074.

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By taking values in a commutative subalgebra gln,C, we construct a new generalized Zn-Heisenberg ferromagnet model in (1+1)-dimensions. The corresponding geometrical equivalence between the generalized Zn-Heisenberg ferromagnet model and Zn-mixed derivative nonlinear Schrödinger equation has been investigated. The Lax pairs associated with the generalized systems have been derived. In addition, we construct the generalized Zn-inhomogeneous Heisenberg ferromagnet model and Zn-Ishimori equation in (2+1)-dimensions. We also discuss the integrable properties of the multi-component systems. Meanwhile, the generalized Zn-nonlinear Schrödinger equation, Zn-Davey–Stewartson equation and their Lax representation have been well studied.
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Dagotto, Elbio. "NUMERICAL STUDIES OF STRONGLY CORRELATED ELECTRONIC MODELS." International Journal of Modern Physics B 05, no. 01n02 (January 1991): 77–111. http://dx.doi.org/10.1142/s0217979291000067.

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Recent numerical work on strongly correlated electronic models using the Lanczos approach is reviewed. In particular static and dynamical properties of the Hubbard, t—J (with one, two and more holes) and the spin-½ Heisenberg antiferromagnet are presented. An attempt to summarize the current active search for nontrivial ground states of the frustrated Heisenberg model is made. Numerical methods like the Lanczos technique are providing useful information in the study of these models.
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AMICO, LUIGI. "ALGEBRAIC EQUIVALENCE BETWEEN CERTAIN MODELS FOR SUPERFLUID–INSULATOR TRANSITION." Modern Physics Letters B 14, no. 21 (September 10, 2000): 759–66. http://dx.doi.org/10.1142/s0217984900000963.

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Algebraic contraction is proposed to realize mappings between Hamiltonian models. This transformation contracts the algebra of the degrees of freedom underlying the Hamiltonian. The rigorous mapping between the anisotropic XXZ Heisenberg model, the quantum phase model and the Bose Hubbard model is established as the contractions of the algebra u(2) underlying the dynamics of the XXZ Heisenberg model.
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Spies, Alexander. "Poisson-geometric Analogues of Kitaev Models." Communications in Mathematical Physics 383, no. 1 (March 9, 2021): 345–400. http://dx.doi.org/10.1007/s00220-021-03992-5.

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AbstractWe define Poisson-geometric analogues of Kitaev’s lattice models. They are obtained from a Kitaev model on an embedded graph $$\Gamma $$ Γ by replacing its Hopf algebraic data with Poisson data for a Poisson-Lie group G. Each edge is assigned a copy of the Heisenberg double $${\mathcal {H}}(G)$$ H ( G ) . Each vertex (face) of $$\Gamma $$ Γ defines a Poisson action of G (of $$G^*$$ G ∗ ) on the product of these Heisenberg doubles. The actions for a vertex and adjacent face form a Poisson action of the double Poisson-Lie group D(G). We define Poisson counterparts of vertex and face operators and relate them via the Poisson bracket to the vector fields generating the actions of D(G). We construct an isomorphism of Poisson D(G)-spaces between this Poisson-geometrical Kitaev model and Fock and Rosly’s Poisson structure for the graph $$\Gamma $$ Γ and the Poisson-Lie group D(G). This decouples the latter and represents it as a product of Heisenberg doubles. It also relates the Poisson-geometrical Kitaev model to the symplectic structure on the moduli space of flat D(G)-bundles on an oriented surface with boundary constructed from $$\Gamma $$ Γ .
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Nga, Pham Thi Thanh, and Nguyen Toan Thang. "Magnetic Order in Heisenberg Models on Non-Bravais Lattice: Popov-Fedotov Functional Method." Communications in Physics 29, no. 2 (May 14, 2019): 119. http://dx.doi.org/10.15625/0868-3166/29/2/13508.

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We study magnetic properties of ordered phase in Heisenberg model on a non-Bravais lattice by means of Popov - Fedotov trick, which takes into account a rigorous constraint of a single occupancy. We derive magnetization and free energy using sadle point approximation in the functional integral formalism. We illustrate the application of the Popov -- Fedotov approach to the Heisenberg antiferromagnet on a honeycomb lattice.
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Gao, Bian, Jifeng Cui, Xiaoli Wang, and Zhaowen Yan. "(2 + 1)-Dimensional generalized third-order Heisenberg supermagnet model." International Journal of Geometric Methods in Modern Physics 15, no. 11 (November 2018): 1850185. http://dx.doi.org/10.1142/s0219887818501852.

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The Heisenberg supermagnet model is an important supersymmetric integrable system which is the super extension of the Heisenberg ferromagnet model. By virtue of introducing the general auxiliary matrix variables, we construct a new [Formula: see text]-dimensional generalized integrable Heisenberg supermagnet models under two constraints. Meanwhile, we establish their corresponding gauge equivalent counterparts. Moreover, we derive new solutions of the supersymmetric integrable systems by means of the Bäcklund transformations.
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DAGOTTO, ELBIO. "THE t-J AND FRUSTRATED HEISENBERG MODELS: A STATUS REPORT ON NUMERICAL STUDIES." International Journal of Modern Physics B 05, no. 06n07 (April 1991): 907–35. http://dx.doi.org/10.1142/s0217979291000481.

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Recent numerical work on the t-J model and the frustrated spin-[Formula: see text] Heisenberg antiferromagnet is reviewed. Lanczos results are mainly discussed but other methods are also mentioned. Static and dynamical properties of one and more holes in the t-J model are presented. The current active search for nontrivial ground states of the frustrated Heisenberg model is summarized. It is concluded that numerical methods are providing useful information in the study of these models.
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Dissertations / Theses on the topic "Modele heisenberg"

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Canals, Benjamin. "Contribution à l'étude des propriétés de quelques systèmes magnétiques frustrés." Université Joseph Fourier (Grenoble ; 1971-2015), 1997. http://www.theses.fr/1997GRE10142.

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Nous etudions trois reseaux frustres geometriquement. En utilisant l'hamiltonien de heisenberg quantique antiferromagnetique sur le reseau pyrochlore, nous donnons des arguments qui caracterisent ce systeme comme un liquide de spins ou le gap est tres faible. Les delafossites dopes (la,y)cuo#2#. #6#6 sont interpretes comme des reseaux kagome. En considerant differents modeles (xy, hubbard, t-j), nous concluons que le compose au lanthane est certainement metallique alors que celui a l'yttrium doit etre isolant. Nous caracterisons dans les deux cas (la ou y) les proprietes magnetiques. Enfin, le compose uni#4b est decrit comme un reseau de anderson triangulaire. En derivant un modele effectif, nous reproduisons son etat fondamental et prevoyons son comportement sous champ.
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Lozano, Dairon Andrés Jiménez. "Modelo de Heisenberg Antiferromagnético de spin-1/2 na rede triangular com interações competitivas." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-21092016-212043/.

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Nesta dissertação estudamos sistemas de spins em redes de baixa dimensionalidade e em temperatura nula, analisando suas transições de fases quânticas. Mais precisamente, estu- damos as propriedades do estado fundamental e as possíveis transições de fase do modelo de Heisenberg quântico antiferromagnético de spin-1/2, com interações entre os primeiros e segundos vizinhos, em diversas redes, e em particular na rede triangular, que é o foco de nosso estudo. Para a obtenção do estado fundamental aproximado, usamos um método variacional em que a rede é particionada num conjunto de plaquetas de sítios. O estado fundamental é escrito como um produto tensorial dos estados das plaquetas. Para a rede triangular, escolhemos um triângulo como uma plaqueta. Quatro fases foram encontra- das: a fase antiferromagnética de Néel, a colinear, a fase de Néel modificada e aquela que denominamos de ligação covalente ressonante. Obtivemos as energias e as magnetizações de subrede em função da razão entre as interações de primeiros e segundos vizinhos. En- tre as fases de Néel e a colinear, podemos observar a fase de ligação covalente ressonante caracterizada como um singleto quanto ao spin de cada plaqueta.
In this thesis we study spin systems in low-dimensional lattices at zero temperature, analyzing their quantum phase transitions. More precisely, we study the properties of the ground state and the possible phase transitions in the antiferromagnetic spin-1/2 quan- tum Heisenberg model with interaction between the first and second neighbors, in several lattices, and in particular in the triangular lattice, which is the focus of our study. To obtain the approximate ground state, we use a variational method in which the lattice is partitioned into a set of plates of sites. The ground state is written as a tensor product of the states of plates. For the triangular lattice, we choose a triangle as a plate. Four phases were found: the antiferromagnetic Néel phase, the collinear, the modified Néel phase and that we call resonating valence bond. We obtained the energy and the magnetization as a function of the ratio of the interactions between the first and second neighbor sites. Between the Néel and collinear phases, we can observe the spin resonating valence bond phase, characterized as a singlet with respect to the spin of each plate.
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Dillenschneider, Raoul. "Effets d'une contrainte d'occupation strictedans la description de systemes de spins quantiquesa temperature finie." Phd thesis, Université Louis Pasteur - Strasbourg I, 2006. http://tel.archives-ouvertes.fr/tel-00129129.

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Nous etudions des systemes de spin quantiques a temperature finie
avec une contrainte d'occupation stricte des sites au moyen d'une procedure
introduite par V. N. Popov et S. A. Fedotov. Nous montrons que cette contrainte modifie
le comportement d'observables physiques par rapport au cas ou cette
contrainte est fixee de facon moyenne par la methode des multiplicateurs de Lagrange. La pertinence de l'etat de Neel est
etudiee en presence de la contrainte stricte d'occupation des sites du
reseau de spin.
La temperature de transition des parametres d'ordre antiferromagnetique
de Neel et d'etat de liquide de spins sont doubles par rapport a ceux
obtenu par la methode moyenne des multiplicateurs de Lagrange. Nous
considerons l'Hamiltonien de basse energie d'ecrit par un Lagrangien de
QED3 pour les spinons. Dans ce contexte la masse generee dynamiquement
est comparee a celle obtenue par la methode d'occupation moyenne de site.
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Labouze, Xavier. "Etude par résonances nucléaires des propriétés magnétiques des cuprates supraconducteurs dans leurs phases isolantes." Grenoble 1, 1994. http://www.theses.fr/1994GRE10042.

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Cette these porte sur l'etude des proprietes magnetiques des cuprates supraconducteurs dans leurs phases isolantes. Les techniques experimentales utilisees sont la resonance nucleaire, magnetique (rmn) et quadrupolaire (rqn). La premiere partie presente une revue des proprietes essentielles des cuprates supraconducteurs. La deuxieme explique particulierement comment utiliser la rqn. L'etude des composes au plomb type ybco (partie iii) montre que le magnetisme des cuprates doit etre quasi-2d quasi-heisenberg. La partie iv traite des composes ybco substitues au calcium. L'etude statique par mesures de largeurs de raie rqn a permis de determiner les temperatures de transition des composes intermediaires. Un modele de l'influence des porteurs de charges a ete construit. Une etude dynamique par mesures du temps de relaxation spin/reseau a aussi ete menee. On compare ces resultats avec ceux des composes monoplans lsco
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Carvalho, José Carlos Nascimento. "Modelo de Heisenberg diluído: nova teoria de campo efetivo." Universidade Federal do Amazonas, 2010. http://tede.ufam.edu.br/handle/tede/3470.

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Made available in DSpace on 2015-04-22T22:07:31Z (GMT). No. of bitstreams: 1 Jose Carlos.pdf: 679072 bytes, checksum: 6a4bd92d8a71eb35226f4d0f9b0cdf34 (MD5) Previous issue date: 2010-04-07
Conselho Nacional de Desenvolvimento Científico e Tecnológico
The critical properties of quantum spin systems is one of the most fascinating subjects in solid physics. Especially, extensive studies have been made in the spin-1/2 Heisenberg antiferromagnetic model (HAM) because the undoped cuprates contain two-dimensional Cu-O planes antiferromagnetic (AF) interactions. Anderson s original suggestion that novel quantum spin fluctuations in the CuO2 planes, common in all these doped cuprates,may be responsible for the superconductivity has recieved significant attention. Most studies on the HAM have focused by analysing the properties on ground state (T=0) on a square lattice, where conclusion has been that the isotropic HAM is in an ordered state, with a nonzero staggered magnetization, corresponding to a spontaneously broken symmetry. On the other hand, the phase transition of the spin-1/2 anisotropic Heisenberg ferromagnetic Model (HFM), that obtain direct information about the critical exponents and critical temperature, has been globally analyzed by many methods. For a not frustrated classical system and some quantum system (e.g., the XY model), there is a unitary operator in which the F case is simply mapped into the AF case by redifining the spin direction on one sublattice (J display by -J, where J is the exchange coupling), in lattices that are decomposed into two sublattices, to which we limit ourselves presently, but for the general quantum Heisenberg model no such symmetry exists. Recently, the effective field theory (EFT) method have been applied successfully to study a large variety of problems, in particular quantum models in arbitrary dimension and it is able to study frustrated models. The starting point for the EFT calculation is the choice of a finite cluster and obtain average of spin operators by using the Callen and Suzuki generalized relation. The EFT provides a hyerarchy of approximations to vii obtain thermodynamic properties of magnetics models. On can continue this series of approximations to consider larger and larger clusters and as a consequence, better results are obtained. The exact solution would be obtained by considering an infinite cluster. However, by using relatively small clusters that contain the topology of the lattice, one can obtain a reasonable description of thermodynamic properties. Here we use EFT in finite cluster to treat the Heisenberg antiferromagnet with dilution bond and obtain the phase diagram in the T-p plane (p is probability of bond). We develpod a new decouling in the correlation equations generated by formalism.
As propriedades críticas dos sistemas quânticos de spin é um dos temas mais fascinantes da física dos sólidos. Especialmente, extensivos estudos têm sido realizados no modelo de Heisenberg antiferromagnético de spin-1/2 (HAM), pois o cupratos não puros contém interações entre planos 2-dimensional Cu-O antiferromagnético (AF). Anderson sugere que a interação quântica de flutuações de spin nos planos textit(CuO)2, comum em todos esses cupratos dopados, podem ser responsáveis pela supercondutividade e tem recebido atenção significativa. A maioria dos estudos sobre o HAM se concentraram em analisar as propriedades no estado fundamental (T= 0) em uma rede quadrada, cuja conclus ao foi que HAM isotrópico é um estado ordenado, com uma magnetização diferente de zero escalonada, correspondendo a uma simetria de quebra espontânea . Por outro lado, a transição de fase do spin-1 / 2 Modelo de Heisenberg ferromagnético anisotrópico (HFM), que obtêm informações diretas sobre os expoentes críticos e temperatura crítica, tem sido globalmente analisados por vários métodos. Para sistemas sem frustração clássicos e alguns sistemas quânticos (por exemplo, o modelo XY), existe um operador unitário em que o caso é F simplesmente mapeada para o caso de AF, redefinem o sentido do spin de uma subrede (visualização por J-J, onde J é o acoplamento de interação de troca), em redes que são decompostos em dois subredes, a que nós nos limitamos hoje, mas para o caso geral de simetria do modelo quântico de Heisenberg não existe. Recentemente, o método da teoria de campo efetivo (EFT) tem sido aplicado com sucesso para estudar uma grande variedade de problemas, em particular os modelos quânticos de dimensão arbitrária e é capaz de estudar os modelos frustrados. O ponto de partida para o cálculo EFT é a escolha de um aglomerado finito e obter média dos operadoix res de spin usando a relação generalizada de Callen e Suzuki. A EFT fornece uma hierarquia de aproximações para obter propriedades termodinâmicas de modelos magnéticos. Na continuação dessa série de aproximações para considerar aglomerados cada vez maiores tem, como conseqüência, melhores resultados são obtidos. A solução exata seria obtida pela análise de um algomerado infinito. No entanto, usando clusters relativamente pequenos que contêm a topologia da estrutura, podese obter uma descrição razoável de propriedades termodinâmicas. Aqui usamos em aglomerado finito EFT para tratar a antiferromagneto de Heisenberg com vínculo de diluição e obter o diagrama de fases no plano T-p (onde p é a probabilidade de vínculo). Tratando-se aqui, um novo desenvolvimento nas equações de correlação gerada pelo formalismo.
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Rodrigues, Claudio Fernandes de Souza. "Criticalidade do modelo de oito vértices na vizinhança de modelos solúveis pelo método de cotas superior e inferior." Universidade de São Paulo, 2003. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-24022014-141333/.

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O objetivo deste trabalho é analisar o comportamento dos expoentes críticos do modelo de Oito Vértices através de cotas superior e inferior para sua função de partição na vizinhança de modelos solúveis. O método é ilustrado pelo modelo de Heisenberg quântico unidimensional também denominado modelo XYZh. Aplica-se igualmente ao modelo de Ising bidimensional (com interação quártica e segundos vizinhos). Assim, propomos um modo alternativo de abordar universalidade nos modelos de Heisenberg unidimensional quântico e Ising bidimensional clássico por desigualdades satisfeitas por suas funções de partição. Dentre os métodos que utilizamos para a obtenção das cotas destacam-se: a interação Gaussiana nas variáveis reais e nas variáveis de Grassmann; o mapeamento de um modelo unidimensional em um bidimensional através do auxílio da fórmula Trotter; a representação da função de partição pelo Pfaffiano de uma matriz; e, para a obtenção da cota superior, a técnica de positividade por reflexão, estendida ao acaso de variáveis que anti-comutam.
The aim of this work is to analyze the behavior of critical exponents in the eight-vertex model starting from the upper and lower bound obtained for its partition function. We studied the quantum onedimensional Heisenberg model also denominated XYZh model. We propose na alternative way of approaching universality in Heisenberg and Ising models using inequalities satisfied for their partition functions.Among the methods that we used in the solutions of the models atand out the integration on the Grassmann variables, the mapping of a onedimensional model in a two-dimensional one through the aid of the Trotter formula and, finally, the representation of the partition function as Pfaffian of a matrix. To obtain na upper bound, the positivity reflection technique was used, extended to the case of variables that, anticomute, and the method of thechess board estimate.
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Chaboussant, Grégory. "Étude expérimentale d'une échelle de spin-1/2 antiferromagnétique : Cu2(C5H12N2)2Cl4." Université Joseph Fourier (Grenoble ; 1971-2015), 1997. http://www.theses.fr/1997GRE10007.

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Ce memoire presente une etude experimentale d'un compose organique isolant ayant des proprietes magnetiques unidimensionnelles (1d): cu#2(c#5h#1#2n#2)#2cl#4. C'est un systeme antiferromagnetique de heisenberg s=1/2 en echelle de spins. Les interactions d'echanges entre les electrons non apparies des ions cu#2#+ forment une structure magnetique en echelle que l'on peut decrire par deux parametres d'echanges, j entre les barreaux et j le long des deux chaines. Comme toutes les echelles de spin-1/2 ayant un nombre pair de chaines couplees, ce systeme a un gap d'energie dans le spectre des excitations. Les proprietes de l'etat fondamental et, dans une certaine limite des etats excites, sont alors similaires a celles des chaines de haldane (s=1). A contrario les echelles comportant un nombre impair de chaines sont critiques (sans gap) et appartiennent a la meme classe d'universalite que les chaines de spin-1/2 dont la solution est donnee par l'ansatz de bethe. Cette these presente une etude assez complete des proprietes thermodynamiques et dynamiques de ce compose. Les mesures thermodynamiques ou statiques reposent sur l'utilisation de magnetometres squid ou, pour les champs magnetiques intenses, d'oscillateurs torsionnels a haute resolution. Les techniques de resonance electronique de spin (rpe) dans la gamme micro-ondes et de resonance magnetique nucleaire sur le proton ont ete utilisees pour etudier les proprietes dynamiques liees aux fonctions de correlations telle que la largeur de raie rpe ou le temps de relaxation nucleaire spin-reseau t#1. Nous avons determine l'ensemble des parametres essentiels lies au magnetisme de ce compose: cu#2(c#5h#1#2n#2)#2cl#4 est decrit par un hamiltonien de heisenberg dont les interactions d'echanges forment une echelle de spins dans la limite de couplage fort: j 13. 2k et j 2. 5k. Le gap d'energie entre l'etat fondamental non-magnetique s=0 et les etats excites triplets (s=1) est 10. 5k
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Souza, Fabiano Caetano de. "Método de diagonalização iterativa para o modelo de Heisenberg." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-13092010-103541/.

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Nesta tese desenvolvemos um método numérico para diagonalizar o Hamiltoniano de Heisenberg iterativamente. O método consiste basicamente em diagonalizar cadeias de spins, cada vez maiores, em que cada passo da diagonalização corresponde à adição de um novo spin à cadeia. A base de vetores para calcular o Hamiltoniano de uma cadeia de N spins, HN, é construída por meio do produto direto dos autovetores do Hamiltoniano Hn-1 da rede diagonalizada no passo anterior, pelos autoestados correspondentes ao N-ésimo spin adicionado. Além de usar a comutação do Hamiltoniano com a componente azimutal do spin total, Sz, prática comum em outros métodos, usufruímos da conservação com o quadrado do spin total, S2. Para uma classe específica de redes também implementamos a simetria de reflexão. Obtemos o espectro completo de energia de cadeias de spins 1/2 com até 20 sítios, para as quais mostramos resultados da dependência com a temperatura da susceptibilidade magnética e do calor específico, para redes com impurezas tipo spin substitucionais, com defeitos nas ligações ou com efeitos de bordas, isto é, para sistemas sem invariância translacional. Usualmente essa restrição impõe enormes dificuldades em métodos tradicionais. Para diagonalizar cadeias com um número maior de sítios, implementamos um procedimento que seleciona os estados de mais baixa energia para serem usados na base de vetores do passo seguinte. Com esse tipo de truncamento de estados, fomos capazes de obter o estado fundamental e alguns estados de baixa energia de cadeias com mais de uma centena de sítios, com precisão de até cinco algarismos significativos. Nossos resultados reproduzem os da literatura para os casos conhecidos, em geral sistemas homogêneos. As aproximações desenvolvidas recentemente no contexto da Teoria do Funcional da Densidade, aplicada ao modelo de Heisenberg, e que também se aplicam a sistemas inomogêneos, estão em conformidade com nossos resultados numericamente exatos. Generalizamos o método para diagonalizar escadas de spins 1/2. Calculamos o estado fundamental e o gap de energia desse sistema, onde variamos a razão entre os acoplamentos ao longo das pernas da escada e ao longo dos degraus da mesma; nossos resultados são comparados com os da literatura. Apresentamos também a implementação do método iterativo no modelo de Hubbard, que descreve um sistema de spins itinerantes. Sabe-se que no regime de alta repulsão Coulombiana entre os spins e densidade um (número de spins igual ao número de sítios da cadeia), esse modelo é mapeado no modelo de Heisenberg, resultado que é verificado numericamente em nosso procedimento por meio do cálculo de energias de ambos os modelos em um regime paramétrico apropriado.
In this Thesis we develop a numerical method to diagonalize the Heisenberg model iteratively. In essence, we diagonalize spin chains in steps, each one corresponding to an addition of a spin to a smaller chain. The basis vectors to calculate the Hamiltonian of a N-spin chain, HN, is built by means of the direct product of the eigenvectors of the (N-1)-spin Hamiltonian, diagonalized on the previous step, by the eigenstates of the N-th added spin. Besides the common use of the conservation of the z-component of the total spin, Sz, we also exploit the conservation of the squared total spin, S2. For a specific class of spin systems we also implemented the reflection symmetry. We obtain the entire energy spectrum of spin-1/2 chains up to 20 sites, for which we show the temperature dependence of the magnetic susceptibility and specific heat, for systems with substitutional impurity spins, bond defects, border effects, i.e., for systems without translational invariance. This normally imposes enormous restrictions in many traditional methods. In order to diagonalize chains with a larger number of sites we implemented a procedure that selects lower energy states to be used in the basis vector on the next step. Using this truncation scheme, we are able to obtain low-lying energy states for chains with more than a hundred sites, up to five significant figures of accuracy. Our results reproduce those of the literature for the known cases, in general homogeneous systems. The approaches recently developed in the context of Density Functional Theory to the Heisenberg model, which also apply to inhomogeneous systems, are consistent with our numerical results. We generalize the method to diagonalize spin-1/2 ladders. We calculate the ground-state and the energy gap of this system, for arbitrary ratio of the couplings along the lags or over the rungs of the ladder. We also present the implementation of our iterative method to the Hubbard model, which describes a system of itinerant spins. It is known that in the regime of high Coulomb repulsion between the spins and unitary density (number of spins equal to the number of sites in the chain), this model is mapped onto Heisenberg one, a result which is verified numerically in our procedure by calculating the energy spectrum of both models in na appropriated parametric regime.
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Oliveira, Ravenna Rodrigues. "Modelo de Heisenberg para cadeia de spins." reponame:Repositório Institucional da UFC, 2016. http://www.repositorio.ufc.br/handle/riufc/19729.

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OLIVEIRA, R. R. Modelo de Heisenberg para cadeia de spins. 2016. 58 f. Dissertação (Mestrado em Física) – Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2016.
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Everyday new technological inventions arrives in the world, improving the life of the society as one. For new devices to have improvements, science needs to be improved too. Within science, a subject that stands out is the magnetism properties of the materials, like ferromagnetic materials. Due to the studies about the magnetism properties of the materials become possible the criation of computer hard drive. In this dissertation, we use the Heisenberg model to better understand the spin waves, which commonly appear in magnetic materials. This model considers the exchange interation of spins, together with the Zeeman effect. In this dissertation we use the eisenberg model for spin waves applied to some networks. The study for a two layer network where one of them is displaced in relation to the other was done. The behavior for a network displaced to the left and a network equally dislocated to the right is the same. Due to the helical structure of an RNA molecule we study the Heisenberg model in a network around a cylinder. For this network, we found that case where the network is symmetrically displaced is degenerate, which can be broke by changing the network configuration, so there is no symmetry in the system.
Todo dia novas invenções tecnológicas surgem no mundo, melhorando a vida da sociedade como um todo. Para que os novos dispositivos estejam cada vez mais evoluindo, a ciência também precisa estar evoluindo. Dentro da ciência, um assunto que ganha destaque são as propriedades magnéticas dos materiais, tais quais materiais ferromagnéticos. A partir do estudo de materiais magnéticos foi possível a fabricação de dispositivos como o HD de computadores. Nos sistemas ferromagnéticos os spins vizinhos estão acoplados uns aos outros por meio da interação de troca, possuindo modos coletivos chamados de ondas de spin. Para entender as propriedades de ondas de spin utiliza-se o modelo de Heisenberg, que considera o termo de troca, juntamente com o efeito Zeeman. Nesta dissertação utilizamos o modelo de Heisenberg para ondas de spins para algumas redes. O estudo para uma rede de duas camadas onde uma é deslocada em relação à outra foi realizado, observando que o comportamento para uma rede deslocada para a esquerda e uma rede igualmente deslocada para a direita é o mesmo. Motivados pelo formato helicoidal da molécula de RNA, estudamos uma rede ao redor de um cilindro. O caso onde a rede é disposta simetricamente é encontrado degenerescência, que pode ser desfeita alterando a configuração da rede de modo que não haja mais simetria.
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Prata, Guilherme Nery. "Novos funcionais para o modelo de Heisenberg anisotrópico." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-02072008-155051/.

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O modelo de Heisenberg destaca-se no estudo do magnetismo com origem em momentos magnéticos localizados. Semelhante ao bem conhecido modelo clássico de Ising, ele incorpora, no entanto, flutuações quânticas. Estamos interessados em sistemas antiferromagnéticos descritos pelo Hamiltoniano de Heisenberg com anisotropia de troca e que, eventualmente, possam apresentar magnetizações não-nulas. Neste trabalho, lidamos com sistemas não-homogêneos, apresentando impurezas e/ou sujeitos a condições de contorno abertas. Para tanto, utilizamos a Teoria do Funcional da Densidade, que proporciona uma metodologia de obtenção de resultados para um sistema não-homogêneo a partir dos resultados conhecidos do mesmo sistema quando homogêneo. Nosso trabalho resume-se a duas partes. Na primeira parte, trabalhamos inicialmente com um funcional, na aproximação ``local para o spin\'\'(LSA), advindo da Teoria de Ondas de Spin, válido para anisotropia de troca com simetria XXZ e magnetização do sistema nula. E na segunda, exploramos a possibilidade de construção de um funcional, na aproximação LSA, válido para anisotropia de troca mas com um adicional: válido para magnetizações não-nulas. Os resultados advindos dos funcionais são confrontados com resultados numericamente exatos obtidos de um programa em Fortran 90, que diagonaliza cadeias de spins na presença ou não de impurezas, para qualquer condição de contorno, descritas pelo modelo de Heisenberg com anisotropia de troca.
The Heisenberg Model is generally recognized in the study of electromagnetism with origin in localized magnetic moments. Similar to the well known classical Ising model, it incorporates, however, quantum flutuations. We are interested in antiferromagnetic systems described by the Heisenberg Hamiltonian with exchange anisotropy and, eventually, non-null magnetizations. In this work, we deal with non-homogeneous systems with impurities. For this, we use Density Functional Theory and the Local Spin Aproximation (LSA), which provide a methodology for obtaining results of a non-homogeneous system from known results of the same but homogeneous system. Initially, we work with a functional provided by Spin Wave Theory on the LSA approximation, valid for anisotropies with XXZ simmetry and null magnetization. After that, we deal with the possibility of building a functional on LSA approximation valid also for exchange anisotropy but with an additional: applicable for non-null magnetizations.
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Books on the topic "Modele heisenberg"

1

Theology and scientific knowledge: Changing models of God's presence in the world. Notre Dame: University of Notre Dame Press, 1996.

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Rajeev, S. G. Integrable Models. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0009.

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Some exceptional situations in fluid mechanics can be modeled by equations that are analytically solvable. The most famous example is the Korteweg–de Vries (KdV) equation for shallow water waves in a channel. The exact soliton solution of this equation is derived. The Lax pair formalism for solving the general initial value problem is outlined. Two hamiltonian formalisms for the KdV equation (Fadeev–Zakharov and Magri) are explained. Then a short review of the geometry of curves (Frenet–Serret equations) is given. They are used to derive a remarkably simple equation for the propagation of a kink along a vortex filament. This equation of Hasimoto has surprising connections to the nonlinear Schrödinger equation and to the Heisenberg model of ferromagnetism. An exact soliton solution is found.
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Eckle, Hans-Peter. Models of Quantum Matter. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199678839.001.0001.

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This book focuses on the theory of quantum matter, strongly interacting systems of quantum many–particle physics, particularly on their study using exactly solvable and quantum integrable models with Bethe ansatz methods. Part 1 explores the fundamental methods of statistical physics and quantum many–particle physics required for an understanding of quantum matter. It also presents a selection of the most important model systems to describe quantum matter ranging from the Hubbard model of condensed matter physics to the Rabi model of quantum optics. The remaining five parts of the book examines appropriate special cases of these models with respect to their exact solutions using Bethe ansatz methods for the ground state, finite–size, and finite temperature properties. They also demonstrate the quantum integrability of an exemplary model, the Heisenberg quantum spin chain, within the framework of the quantum inverse scattering method and through the algebraic Bethe ansatz. Further models, whose Bethe ansatz solutions are derived and examined, include the Bose and Fermi gases in one dimension, the one–dimensional Hubbard model, the Kondo model, and the quantum Tavis–Cummings model, the latter a model descendent from the Rabi model.
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Boudreau, Joseph F., and Eric S. Swanson. Quantum spin systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0022.

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The quantum mechanical underpinnings of magnetism are explored via the Heisenberg model of antiferromagnetism. The Lanczos algorithm is developed and applied to obtain ground state properties of the anisotropic antiferromagnetic Heisenberg spin chain. In particular, the phase diagram for the system magnetization is determined. A quantum Monte Carlo method that is appropriate for discrete systems is also presented. The method leverages the similarity between the Schrödinger equation and the diffusion equation to compute energy levels. The formalism necessary to compute ground state matrix elements is also developed. Finally, the method is tested with an application to the spin chain.
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1957-, Lakhtakia A., ed. Models and modelers of hydrogen: Thales, Thomson, Rutherford, Bohr, Sommerfeld, Goudsmit, Heisenberg, Schrödinger, Dirac, Sallhofer. Singapore: World Scientific, 1996.

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Lakhtakia, Akhlesh. Models and Modelers of Hydrogen: Thales, Thomson, Rutherford, Bohr, Sommerfeld, Goudsmit, Heisenberg, Schrodinger, Dirac, Sallhofer. World Scientific Publishing Company, 1996.

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Eriksson, Olle, Anders Bergman, Lars Bergqvist, and Johan Hellsvik. The Atomistic Spin Dynamics Equation of Motion. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788669.003.0004.

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From the information obtained in DFT, in particular the magnetic moments and the Heisenberg exchange parameters, one has the possibility to make a connection to atomistic spin-dynamics. In this chapter the essential features of this connection is described. It is also discussed under what length and time-scales that this approach is a relevant approximation. The master equation of atomistic spin-dynamics is derived, and discussed in detail. In addition we give examples of how this equation describes the magnetization dynamics of a few model systems.
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Seth, Suman. Quantum Physics. Edited by Jed Z. Buchwald and Robert Fox. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199696253.013.28.

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This article discusses the history of quantum physics, beginning with an analysis of the process through which a community of quantum theorists and experimentalists came into being. In particular, it traces the roots and fruits of Max Planck’s papers in irreversible processes in nature. It proceeds by exploring the origin and subsequent development of Niels Bohr’s so-called ‘planetary model’ of the atom, focusing on the extension of the model by Arnold Sommerfeld and members of his school as well to Bohr’s use of his principles of correspondence and adiabatic invariance. It also considers the post-war years, as the problems of atomic spectroscopy sparked the development of new methodological approaches to quantum theory. Finally, it offers a history of the two distinct new forms of quantum mechanics put forward in the mid-1920s: Werner Heisenberg, Max Born, and Pascual Jordan’s matrix mechanics, and Erwin Schrödinger’s wave mechanics.
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Byers, Mark. Difficulties of Discovery. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198813255.003.0006.

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The uncertainty of the glyph, reflecting a new commitment to the unpredictability of history and the fallibility of scientific reason, is shown in this chapter to have generated a major avant-garde interest in modern physics, particularly quantum mechanics. The chapter charts cognate developments in Olson’s work and that of Wolfgang Paalen, an Austrian-Mexican painter who had a decisive influence on abstract expressionism through his journal Dyn. Both Olson and Paalen are shown to have turned to post-classical physics—particularly Heisenberg’s ‘uncertainty principle’—as a platform for a new late modernist art that would break with both the political and the aesthetic principles of high modernism.
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de Regt, Henk W. Understanding Scientific Understanding. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190652913.001.0001.

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This book is about scientific understanding. It is widely acknowledged that a central aim of science is to achieve understanding of the world around us, and that possessing such understanding is highly important in our present-day society. But what does it mean to achieve this understanding? What precisely is scientific understanding? These are philosophical questions that have not yet received satisfactory answers. While there has been an ongoing debate about the nature of scientific explanation since Carl Hempel advanced his covering law model in 1948, the related notion of understanding has been largely neglected because most philosophers regarded understanding as merely a subjective byproduct of objective explanations. By contrast, this book puts scientific understanding center stage. It is primarily a philosophical study, but also contains detailed historical case studies of scientific practice. In contrast to most existing studies in this area, it takes into account scientists’ views and analyzes their role in scientific debate and development. The aim of the book is to develop and defend a philosophical theory of scientific understanding that can describe and explain the historical variation of criteria for understanding actually employed by scientists. The theory does justice to the insights of such famous physicists as Werner Heisenberg and Richard Feynman, while bringing much-needed conceptual rigor to their intuitions. The scope of the proposed account of understanding is the natural sciences: while the detailed case studies derive from physics, examples from other sciences are presented to illustrate its wider validity.
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Book chapters on the topic "Modele heisenberg"

1

Nolting, Wolfgang. "Heisenberg-Modell." In Teubner Studienbücher Physik, 57–199. Wiesbaden: Vieweg+Teubner Verlag, 1986. http://dx.doi.org/10.1007/978-3-322-96699-5_2.

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Nolting, Wolfgang, and Anupuru Ramakanth. "Heisenberg Model." In Quantum Theory of Magnetism, 273–386. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-85416-6_7.

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Yafaev, Dmitri R. "The heisenberg model." In Lecture Notes in Mathematics, 137–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0105547.

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Adler, Allan, and Sundararaman Ramanan. "Standard Heisenberg Groups." In Moduli of Abelian Varieties, 8–17. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0093661.

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Auerbach, Assa. "SU (N) Heisenberg Models." In Graduate Texts in Contemporary Physics, 165–73. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0869-3_16.

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Holbrow, Charles H., James N. Lloyd, Joseph C. Amato, Enrique Galvez, and M. Elizabeth Parks. "The Heisenberg Uncertainty Principle." In Modern Introductory Physics, 553–67. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-79080-0_18.

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Holbrow, C. H., J. N. Lloyd, and J. C. Amato. "The Heisenberg Uncertainty Principle." In Modern Introductory Physics, 407–23. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4757-3078-4_15.

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Straumann, Norbert. "Heisenberg-Modelle, Mermin-Wagner-Theorem." In Statistische Mechanik, 216–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-52950-8_36.

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Greiner, Walter, Ludwig Neise, and Horst Stöcker. "The Models of Ising and Heisenberg." In Thermodynamics and Statistical Mechanics, 436–56. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0827-3_18.

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Auerbach, Assa. "Ground States of the Heisenberg Model." In Graduate Texts in Contemporary Physics, 51–60. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0869-3_5.

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Conference papers on the topic "Modele heisenberg"

1

Chamati, H., and D. V. Shopova. "Ferrimagnetism in a two-sublatttice bilinearly coupled Heisenberg model." In 10th Jubilee International Conference of the Balkan Physical Union. Author(s), 2019. http://dx.doi.org/10.1063/1.5091124.

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Rogalev, Andrei, and José Goulon. "X-ray magnetic circular dichroism of model Heisenberg ferromagnets." In X-RAY AND INNER-SHELL PROCESSES: 18th International Conference. AIP, 2000. http://dx.doi.org/10.1063/1.1302764.

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Strečka, Jozef, Lucia Čanová, Kazuhiko Minami, Yurij Holovatch, Bertrand Berche, Nikolai Bogolyubov, and Reinhard Folk. "Weak-universal critical behavior and quantum critical point of the exactly soluble spin-1∕2 Ising-Heisenberg model with the pair XYZ Heisenberg and quartic Ising interactions." In STATISTICAL PHYSICS: MODERN TRENDS AND APPLICATIONS: The 3rd Conference on Statistical Physics Dedicated to the 100th Anniversary of Mykola Bogolyubov. AIP, 2009. http://dx.doi.org/10.1063/1.3284411.

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Misumi, K., K. Seki, and Y. Ohta. "Spin Excitations in the Square-Lattice Heisenberg Model with Ring-Exchange Interactions." In Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013). Journal of the Physical Society of Japan, 2014. http://dx.doi.org/10.7566/jpscp.3.014021.

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Mert, Gülistan. "Numerical study of a two-sublattice Heisenberg ferrimagnetic model: Green's function method." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825767.

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Pasrija, Kanika, and Sanjeev Kumar. "Effect of magnetic field on noncollinear magnetism in classical bilinear-biquadratic Heisenberg model." In INTERNATIONAL CONFERENCE ON CONDENSED MATTER AND APPLIED PHYSICS (ICC 2015): Proceeding of International Conference on Condensed Matter and Applied Physics. Author(s), 2016. http://dx.doi.org/10.1063/1.4946694.

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Si LAKHAL, B., and A. ABADA. "FOUR-SPINON CONTRIBUTION TO THE DYNAMIC STRUCTURE FACTOR IN THE ANTIFERROMAGNETIC HEISENBERG MODEL." In Proceedings of the 16th International Spin Physics Symposium and Workshop on Polarized Electron Sources and Polarimeters. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701909_0099.

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Kashin, I. V. "Hilbert space fragmentation in Heisenberg model provides stability of observables at low temperatures." In THE 2ND INTERNATIONAL CONFERENCE ON PHYSICAL INSTRUMENTATION AND ADVANCED MATERIALS 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0032349.

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Tamura, Ryo, Shu Tanaka, and Naoki Kawashima. "Phase Transitions with Discrete Symmetry Breaking in Antiferromagnetic Heisenberg Models on a Triangular Lattice." In Proceedings of the 12th Asia Pacific Physics Conference (APPC12). Journal of the Physical Society of Japan, 2014. http://dx.doi.org/10.7566/jpscp.1.012125.

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Tanamoto, T., K. Ono, Y. X. Liu, and F. Nori. "Dynamic creation of a topologically-ordered Hamiltonian using spin-pulse control in the Heisenberg model." In 2015 International Conference on Solid State Devices and Materials. The Japan Society of Applied Physics, 2015. http://dx.doi.org/10.7567/ssdm.2015.h-7-2.

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Reports on the topic "Modele heisenberg"

1

Gerdjikov, Vladimir, Georgi Grahovski, and Alexander Mikhailov. On Soliton Interactions for the Hierarchy of a Generalised Heisenberg Ferromagnetic Model on Symmetric Space. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-25-2012-23-55.

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Gerdjikov, Vladimir, Georgi Grahovski, and Alexander Mikhailov. On Soliton Interactions for the Hierarchy of a Generalised Heisenberg Ferromagnetic Model on Symmetric Space. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/giq-13-2012-11-42.

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