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Journal articles on the topic 'Modele heisenberg'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Chandra, P., P. Coleman, and A. I. Larkin. "Ising transition in frustrated Heisenberg models." Physical Review Letters 64, no. 1 (January 1, 1990): 88–91. http://dx.doi.org/10.1103/physrevlett.64.88.

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12

Muthuganesan, R., and R. Sankaranarayanan. "Nonlocal correlation in Heisenberg spin models." International Journal of Modern Physics B 31, no. 23 (September 14, 2017): 1750166. http://dx.doi.org/10.1142/s0217979217501661.

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In this paper, we investigate nonlocal correlation (beyond entanglement) captured by measurement induced nonlocality and geometric quantum discord for a pair of interacting spin-1/2 particles at thermal equilibrium. It is shown that both the measures are identical in measuring the correlation. We show that nonlocal correlation between the spins exist even without entanglement and the correlation vanishes only for maximal mixture of product bases. We also observe that while interaction between the spins is responsible for enhancement of correlation, this non-classicality decreases with the intervention of external magnetic field.

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13

Vitoriano, Carlindo, M. D. Coutinho-Filho, and E. P. Raposo. "Ising and Heisenberg models on ferrimagneticAB2chains." Journal of Physics A: Mathematical and General 35, no. 43 (October 15, 2002): 9049–61. http://dx.doi.org/10.1088/0305-4470/35/43/305.

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14

Frahm, H., and C. Rödenbeck. "Integrable models of coupled Heisenberg chains." Europhysics Letters (EPL) 33, no. 1 (January 1, 1996): 47–52. http://dx.doi.org/10.1209/epl/i1996-00302-7.

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15

Jiang, Nana, Meina Zhang, Jiafeng Guo, and Zhaowen Yan. "Fifth-order generalized Heisenberg supermagnetic models." Chaos, Solitons & Fractals 133 (April 2020): 109644. http://dx.doi.org/10.1016/j.chaos.2020.109644.

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16

Oh, Phillial, and Q.-Han Park. "More on generalized Heisenberg ferromagnet models." Physics Letters B 383, no. 3 (September 1996): 333–38. http://dx.doi.org/10.1016/0370-2693(96)00740-x.

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17

Sun, Haichao, Rong Han, and Zhaowen Yan. "Novel extended Zn-Heisenberg ferromagnet models." International Journal of Geometric Methods in Modern Physics 18, no. 05 (March 5, 2021): 2150080. http://dx.doi.org/10.1142/s0219887821500808.

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In this paper, in terms of taking values in a commutative subalgebra [Formula: see text] of Lie algebra [Formula: see text], one establishes two novel extended [Formula: see text]-Heisenberg ferromagnet models in both [Formula: see text] and [Formula: see text]-dimensions and derives their corresponding Lax representations. Moreover, we present their geometrical equivalent equations which are [Formula: see text]-nonlinear Schrödinger equations.

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18

VUJINOVIĆ, M., M. PANTIĆ, D. KAPOR, and P. MALI. "THEORETICAL MODELS FOR MAGNETIC PROPERTIES OF IRON PNICTIDES." International Journal of Modern Physics B 27, no. 16 (June 7, 2013): 1350071. http://dx.doi.org/10.1142/s0217979213500719.

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We attempt to describe the magnetic properties of parent pnictide compounds by using both the J1–J2 Heisenberg model and its three-dimensional generalization, the J1–J2–Jc model. We also include spin anisotropy in the XY plane. In order to obtain the average magnetization and spin wave dispersion, we use the Green's functions method for spin operators in the random phase approximation. We obtain estimates for the model parameters by considering the low temperature experimental dispersion for the compounds CaFe 2 As 2 and BaFe 2 As 2 and conclude that theoretical dispersion can fit the experimental one if spatially anisotropic Hamiltonian is used. A good agreement between theory and experiment indicates that the Heisenberg model is applicable to parent pnictides at low temperatures. The applicability of the model for higher temperatures is checked by calculating the Néel temperature for both compounds. It turns out that the model overestimates the measured critical temperature. The Heisenberg model is not applicable to parent pnictides, for temperature comparable to Néel temperature. Our results thus confirm that all the magnetic properties of parent pnictides cannot be described with purely localized degrees of freedom, and that the itinerant magnetism should have an important role in these compounds. All results given in Sec. 3 are general and could be used in description of classes of compounds with spin stripe structure.

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19

Bacci, Silvia, Eduardo Gagliano, and Franco Nori. "FRUSTRATED SPIN (J-J') SYSTEMS DO NOT MODEL THE MAGNETIC PROPERTIES OF HIGH-TEMPERATURE SUPERCONDUCTORS." International Journal of Modern Physics B 05, no. 01n02 (January 1991): 325–39. http://dx.doi.org/10.1142/s0217979291000201.

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We study the t—J model with one hole and the frustrated Heisenberg J—J′ model in a square lattice. Specifically, we compute and compare for both, the doped and frustrated models, the dynamic spin-spin structure factor S(q, ω), and the B1g Raman scattering spectrum R(ω) at zero temperature. The behavior of these quantities differs between the t—J and the J—J′ models. We observe that both the B1g Raman spectrum as well as the structure factor for the t—J model are in qualitative agreement with experimental measurements while the corresponding results for the J—J′ model are not. These results indicate that the magnetic behavior of doped systems cannot be accurately modeled by a purely spin Hamiltonian. These results are of relevance to the claim that the effect of adding holes (doping) on the magnetic properties of the quantum Heisenberg antiferromagnet can be described by introducing second and sometimes third nearest-neighbor couplings, J′ and J″ respectively, in the original (undoped) Hamiltonian.

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20

Gaete, Patricio, and José A. Helayël-Neto. "Remarks on the Static Potential Driven by Vacuum Nonlinearities in D=3 Models." Advances in High Energy Physics 2016 (2016): 1–7. http://dx.doi.org/10.1155/2016/9146961.

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Within the framework of the gauge-invariant, but path-dependent, variables formalism, we study the manifestations of vacuum electromagnetic nonlinearities in D=3 models. For this we consider both generalized Born-Infeld and Pagels-Tomboulis-like electrodynamics, as well as Euler-Heisenberg-like electrodynamics. We explicitly show that generalized Born-Infeld and Pagels-Tomboulis-like electrodynamics are equivalent, where the static potential profile contains a long-range (1/r2-type) correction to the Coulomb potential. Interestingly enough, for Euler-Heisenberg-like electrodynamics the interaction energy contains a linear potential, leading to the confinement of static charges.

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21

Liu, Ying, Kang Xue, Gangcheng Wang, Bo Liu, and Chunfang Sun. "The Yangian symmetry for three-spin-1/2 and four-spin-1/2 Heisenberg XXX models." International Journal of Quantum Information 12, no. 01 (February 2014): 1450006. http://dx.doi.org/10.1142/s0219749914500063.

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In this paper, we investigate Yangian symmetry for the three-spin-1/2 and four-spin-1/2 Heisenberg XXX models. Applying Yangian Y(sl(2)) theory to three-spin-1/2 and four-spin-1/2 systems, we construct Yangian Y(sl(2)) realizations for these systems. We show that these Yangian realizations can be used to describe three-spin-1/2 and four-spin-1/2 Heisenberg XXX models. The Yangian operators as shift operators are also studied in this paper.

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22

LI, SHUHUA, JING MA, and YUANSHENG JIANG. "HEISENBERG MODEL AND ITS APPLICATIONS TO π-CONJUGATED SYSTEMS." Journal of Theoretical and Computational Chemistry 01, no. 02 (October 2002): 351–71. http://dx.doi.org/10.1142/s0219633602000270.

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This paper briefly reviewed the Heisenberg model and its improvement by including higher order corrections, and their applications to bond lengths, stability, and reactivity of non-benzenoids and the low-lying excitation spectra of conjugated systems. Two efficient computational methods, the Lanczos method and the density-matrix renormalization group (DMRG), for exactly and approximately solving various Heisenberg models, respectively, were briefly introduced.

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23

Benyoussef, Abdelilah, Abdelrhani Boubekri, and Hamid Ez-Zahraouy. "Multilayer Heisenberg models: linear spin wave analysis." Journal of Magnetism and Magnetic Materials 190, no. 3 (December 1998): 321–31. http://dx.doi.org/10.1016/s0304-8853(98)00242-x.

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24

Frahm, H., and V. I. Inozemtsev. "New family of solvable 1D Heisenberg models." Journal of Physics A: Mathematical and General 27, no. 21 (November 7, 1994): L801—L807. http://dx.doi.org/10.1088/0305-4470/27/21/003.

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25

Hatano, N., and Y. Nishiyama. "Scaling theory of antiferromagnetic Heisenberg ladder models." Journal of Physics A: Mathematical and General 28, no. 14 (July 21, 1995): 3911–23. http://dx.doi.org/10.1088/0305-4470/28/14/012.

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26

Figueiredo, W., and J. N. B. de Moraes. "Surface Phase Transition in Anisotropic Heisenberg Models." physica status solidi (a) 173, no. 1 (May 1999): 209–23. http://dx.doi.org/10.1002/(sici)1521-396x(199905)173:1<209::aid-pssa209>3.0.co;2-s.

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27

van der Sijs, A. J. "Heisenberg models and a particular isotropic model." Physical Review B 48, no. 10 (September 1, 1993): 7125–33. http://dx.doi.org/10.1103/physrevb.48.7125.

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28

Wang, Xiaoguang, Hongchen Fu, and Allan I. Solomon. "Thermal entanglement in three-qubit Heisenberg models." Journal of Physics A: Mathematical and General 34, no. 50 (December 19, 2001): 11307–20. http://dx.doi.org/10.1088/0305-4470/34/50/312.

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29

Schuster, C., M. Meister, and F. G. Mertens. "Diffusion of solitons in anisotropic Heisenberg models." European Physical Journal B 42, no. 3 (December 2004): 381–90. http://dx.doi.org/10.1140/epjb/e2004-00394-3.

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30

Makhankov, V. G., and O. K. Pashaev. "Supersymmetric integrable su(2…1) Heisenberg models." Physics Letters A 141, no. 5-6 (November 1989): 285–88. http://dx.doi.org/10.1016/0375-9601(89)90486-6.

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31

SIRKER, J. "THE LUTTINGER LIQUID AND INTEGRABLE MODELS." International Journal of Modern Physics B 26, no. 22 (July 26, 2012): 1244009. http://dx.doi.org/10.1142/s0217979212440092.

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Many fundamental one-dimensional lattice models such as the Heisenberg or the Hubbard model are integrable. For these microscopic models, parameters in the Luttinger liquid theory can often be fixed and parameter-free results at low energies for many physical quantities such as dynamical correlation functions obtained where exact results are still out of reach. Quantum integrable models thus provide an important testing ground for low-energy Luttinger liquid physics. They are, furthermore, also very interesting in their own right and show, for example, peculiar transport and thermalization properties. The consequences of the conservation laws leading to integrability for the structure of the low-energy effective theory have, however, not fully been explored yet. I will discuss the connection between integrability and Luttinger liquid theory here, using the anisotropic Heisenberg model as an example. In particular, I will review the methods which allow to fix free parameters in the Luttinger model with the help of the Bethe ansatz solution. As applications, parameter-free results for the susceptibility in the presence of nonmagnetic impurities, for spin transport, and for the spin-lattice relaxation rate are discussed.

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32

Yan, Zhao-Wen. "On the Heisenberg Supermagnet Model in (2+1)-Dimensions." Zeitschrift für Naturforschung A 72, no. 4 (April 1, 2017): 331–37. http://dx.doi.org/10.1515/zna-2016-0397.

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AbstractThe Heisenberg supermagnet model is an important supersymmetric integrable system in (1+1)-dimensions. We construct two types of the (2+1)-dimensional integrable Heisenberg supermagnet models with the quadratic constraints and investigate the integrability of the systems. In terms of the gage transformation, we derive their gage equivalent counterparts. Furthermore, we also construct new solutions of the supersymmetric integrable systems by means of the Bäcklund transformations.

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33

FAKHRI, H., B. MOJAVERI, and A. DEHGHANI. "COHERENT STATES AND SCHWINGER MODELS FOR PSEUDO GENERALIZATION OF THE HEISENBERG ALGEBRA." Modern Physics Letters A 24, no. 25 (August 20, 2009): 2039–51. http://dx.doi.org/10.1142/s0217732309030722.

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We show that the non-Hermitian Hamiltonians of the simple harmonic oscillator with [Formula: see text] and [Formula: see text] symmetries involve a pseudo generalization of the Heisenberg algebra via two pairs of creation and annihilation operators which are [Formula: see text]-pseudo-Hermiticity and [Formula: see text]-anti-pseudo-Hermiticity of each other. The non-unitary Heisenberg algebra is represented by each of the pair of the operators in two different ways. Consequently, the coherent and the squeezed coherent states are calculated in two different approaches. Moreover, it is shown that the approach of Schwinger to construct the su(2), su(1, 1) and sp(4, ℝ) unitary algebras is promoted so that unitary algebras with more linearly dependent number of generators are made.

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34

ANGELUCCI, ANTIMO. "ORDER PARAMETERS OF FRUSTRATED SPIN SYSTEMS." International Journal of Modern Physics B 05, no. 04 (February 20, 1991): 659–74. http://dx.doi.org/10.1142/s0217979291000365.

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We present a study of the ground states and of the low energy fluctuations of the frustrated Heisenberg spin chain, both classical and quantum. Analyzing this simple model we draw some general conclusions about the antiferro-helix “transition” of general classical Heisenberg models. We derive the low energy action describing the fluctuations about the helical phases and we infer the possible existence of nontrivial topological terms in the quantum counterparts.

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35

Dzhunushaliev, Vladimir. "Toy Models of a Nonassociative Quantum Mechanics." Advances in High Energy Physics 2007 (2007): 1–10. http://dx.doi.org/10.1155/2007/12387.

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Toy models of a nonassociative quantum mechanics are presented. The Heisenberg equation of motion is modified using a nonassociative commutator. Possible physical applications of a nonassociative quantum mechanics are considered. The idea is discussed that a nonassociative algebra could be the operator language for the nonperturbative quantum theory. In such approach the nonperturbative quantum theory has observables and unobservables quantities.

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36

FROLOV, S. A. "HAMILTONIAN LATTICE GAUGE MODELS AND THE HEISENBERG DOUBLE." Modern Physics Letters A 10, no. 37 (December 7, 1995): 2885–95. http://dx.doi.org/10.1142/s0217732395003021.

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Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary spacetime dimensions. It is shown that the corresponding generalization of the gauge-invariant Wilson line observables requires to attach to each vertex of the line a vertex operator which goes to the unity in the continuum limit.

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37

Kostyuchenko, Victor V. "Properties of Single Molecule Magnet Ni₄Mo₁₂." Solid State Phenomena 190 (June 2012): 490–93. http://dx.doi.org/10.4028/www.scientific.net/ssp.190.490.

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At the present time two models can more or less describe the magnetic properties ofNi4Mo12. The rst one is based on the assumption of essential role of non-Heisenberg exchangeinteractions. The key feature of the second model is the symmetry breaking of exchange inter-actions. The present work is focused on the forecasting power of these spin models. Mechanismresponsible for non-Heisenberg exchange interactions is the same as mechanism resulting in in-teraction of spin chirality with external magnetic eld. An additional level splitting in magnetic eld can be observed in this case. The symmetry breaking of exchange interactions inevitablyleads to nonzero toroidal moment and related to it magnetoelectric phenomena.

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38

RICHTER, J., O. DERZHKO, and A. HONECKER. "THE SAWTOOTH CHAIN: FROM HEISENBERG SPINS TO HUBBARD ELECTRONS." International Journal of Modern Physics B 22, no. 25n26 (October 20, 2008): 4418–33. http://dx.doi.org/10.1142/s0217979208050176.

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We report on recent studies of the spin-half Heisenberg and the Hubbard model on the sawtooth chain. For both models we construct a class of exact eigenstates which are localized due to the frustrating geometry of the lattice for a certain relation of the exchange (hopping) integrals. Although these eigenstates differ in details for the two models because of the different statistics, they share some characteristic features. The localized eigenstates are highly degenerate and become ground states in high magnetic fields (Heisenberg model) or at certain electron fillings (Hubbard model), respectively. They may dominate the low-temperature thermodynamics and lead to an extra low-temperature maximum in the specific heat. The ground-state degeneracy can be calculated exactly by a mapping of the manifold of localized ground states onto a classical hard-dimer problem, and explicit expressions for thermodynamic quantities can be derived which are valid at low temperatures near the saturation field for the Heisenberg model or around a certain value of the chemical potential for the Hubbard model, respectively.

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39

Betsuyaku, Hiroshi. "Phase coherence in 2D XY and Heisenberg models." Journal of Magnetism and Magnetic Materials 272-276 (May 2004): 1005–6. http://dx.doi.org/10.1016/j.jmmm.2003.12.1181.

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40

Pimpinelli, A., E. Rastelli, and A. Tassi. "Characterisation of the quantum helix in Heisenberg models." Journal of Physics: Condensed Matter 1, no. 11 (March 20, 1989): 2131–35. http://dx.doi.org/10.1088/0953-8984/1/11/023.

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41

Plastina, Francesco, Luigi Amico, Andreas Osterloh, and Rosario Fazio. "Spin wave contribution to entanglement in Heisenberg models." New Journal of Physics 6 (September 30, 2004): 124. http://dx.doi.org/10.1088/1367-2630/6/1/124.

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42

Wojtkiewicz, Jacek, and Rafał Skolasiński. "Inequalities between ground-state energies of Heisenberg models." Physica A: Statistical Mechanics and its Applications 419 (February 2015): 134–44. http://dx.doi.org/10.1016/j.physa.2014.09.042.

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43

Shopova, D. V., and T. L. Boyadjiev. "Mean field analysis of two coupled Heisenberg models." Journal of Physical Studies 5, no. 3/4 (2001): 341–48. http://dx.doi.org/10.30970/jps.05.341.

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44

Björnberg, Jakob E., and Daniel Ueltschi. "Decay of transverse correlations in quantum Heisenberg models." Journal of Mathematical Physics 56, no. 4 (April 2015): 043303. http://dx.doi.org/10.1063/1.4918675.

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45

Angelucci, Antimo. "Path-integral analysis of frustrated quantum Heisenberg models." Physical Review B 44, no. 13 (October 1, 1991): 6849–57. http://dx.doi.org/10.1103/physrevb.44.6849.

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46

You, J. Q., Xiaobiao Zeng, Tiansheng Xie, and J. R. Yan. "Quantum Heisenberg-Ising models on generalized Fibonacci lattices." Physical Review B 44, no. 2 (July 1, 1991): 713–20. http://dx.doi.org/10.1103/physrevb.44.713.

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47

Kawamura, Hikaru. "Two models of spin glasses — Ising versus Heisenberg." Journal of Physics: Conference Series 233 (June 1, 2010): 012012. http://dx.doi.org/10.1088/1742-6596/233/1/012012.

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Přeučil, Filip, and Jiří Hořejší. "Effective Euler–Heisenberg Lagrangians in models of QED." Journal of Physics G: Nuclear and Particle Physics 45, no. 8 (July 6, 2018): 085005. http://dx.doi.org/10.1088/1361-6471/aace90.

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Chandra, P., P. Coleman, and A. I. Larkin. "A quantum fluids approach to frustrated Heisenberg models." Journal of Physics: Condensed Matter 2, no. 39 (October 1, 1990): 7933–72. http://dx.doi.org/10.1088/0953-8984/2/39/008.

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Campbell, M., and L. Chayes. "Intermediate phases in mixed nematic/Heisenberg spin models." Journal of Physics A: Mathematical and General 32, no. 50 (December 2, 1999): 8881–87. http://dx.doi.org/10.1088/0305-4470/32/50/308.

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