Relevant bibliographies by topics / Fermons

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  2. Dissertations / Theses
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  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Fermons'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Fermons"

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Khondhodjayeva, Nondira, and Nurmamat Rajabov. "ECOLOGICAL SIGNIFICANCE OF PHEROMONES." JOURNAL OF AGRO PROCESSING 6, no. 2 (June 30, 2020): 64–68. http://dx.doi.org/10.26739/2181-9904-2020-6-11.

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This article reveals the essence of the concept of "pheromones" and their biological significance. In the article variants of their application in agriculture for struggle against insects-pests are presented. The definition of term and classification of pheromones and their types are given: feromons of insects, feromons of fish, feromons of vertebrates, feromons of humans, fermons of plants, sexual feromons, anxiety feromons, trace feromons, epidemic feromons and their functions and significance for the representative's organism and the environment as a whole
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AOYAMA, HIDEAKI, and HISASHI KIKUCHI. "INTERACTING INSTANTONS FOR TeV PHYSICS." International Journal of Modern Physics A 07, no. 12 (May 10, 1992): 2741–73. http://dx.doi.org/10.1142/s0217751x9200123x.

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Multi-instanton effect in the standard electroweak model for baryon and lepton number violation is discussed. Instanton interaction is shown to play a major role in the TeV range. First, the validity of the treatment of the interaction is explicitly checked in the quantum-mechanical case. Then interactions induced by both bosons and fermons are examined in the SU(2) Yang–Mills–Higgs model. They are shown to lead to an effective theory which is manifestly unitary. This results in an estimate that the relevant cross section saturates the unitary bound at the TeV scale, indicating the possibility of detecting baryon- and lepton-number-violating phenomena.
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DOLOCAN, ANDREI, VOICU OCTAVIAN DOLOCAN, and VOICU DOLOCAN. "A NEW HAMILTONIAN OF INTERACTION FOR FERMIONS." Modern Physics Letters B 19, no. 13n14 (June 20, 2005): 669–81. http://dx.doi.org/10.1142/s0217984905008700.

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Using the Lagrangian formalism we attempt to introduce a new Hamiltonian for fermions. On this basis we have evaluated the expectation values for the interaction energy between fermions via bosons. The interaction energy between two fermions via phonons becomes attractive in a degenerate fermion-gas. The interaction energy between two fermions via photons appears to be attractive in certain conditions. The self-energy of the fermion + boson system, e.g. polaron and polariton, was evaluated.
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Yanagisawa, Takashi. "Zero-Energy Modes, Fractional Fermion Numbers and The Index Theorem in a Vortex-Dirac Fermion System." Symmetry 12, no. 3 (March 2, 2020): 373. http://dx.doi.org/10.3390/sym12030373.

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Physics of topological materials has attracted much attention from both physicists and mathematicians recently. The index and the fermion number of Dirac fermions play an important role in topological insulators and topological superconductors. A zero-energy mode exists when Dirac fermions couple to objects with soliton-like structure such as kinks, vortices, monopoles, strings, and branes. We discuss a system of Dirac fermions interacting with a vortex and a kink. This kind of systems will be realized on the surface of topological insulators where Dirac fermions exist. The fermion number is fractionalized and this is related to the presence of fermion zero-energy excitation modes. A zero-energy mode can be regarded as a Majorana fermion mode when the chemical potential vanishes. Our discussion includes the case where there is a half-flux quantum vortex associated with a kink in a magnetic field in a bilayer superconductor. A normalizable wave function of fermion zero-energy mode does not exist in the core of the half-flux quantum vortex. The index of Dirac operator and the fermion number have additional contributions when a soliton scalar field has a singularity.
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Ma, Tian-Chi, Jing-Nan Hu, Yuan Chen, Lei Shao, Xian-Ru Hu, and Jian-Bo Deng. "Coexistence of type-II and type-IV Dirac fermions in SrAgBi." Modern Physics Letters B 35, no. 11 (February 9, 2021): 2150181. http://dx.doi.org/10.1142/s0217984921501815.

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Relativistic massless Weyl and Dirac fermions have isotropic and linear dispersion relations to maintain Poincaré symmetry, which is the most basic symmetry in high-energy physics. The situation in condensed matter physics is less constrained; only certain subgroups of Poincaré symmetry — the 230 space groups that exist in 3D lattices — need be respected. Then, the free fermionic excitations that have no high-energy analogues could exist in solid state systems. Here, We discovered a type of nonlinear Dirac fermion without high-energy analogue in SrAgBi and named it type-IV Dirac fermion. The type-IV Dirac fermion has a nonlinear dispersion relationship and is similar to the type-II Dirac fermion, which has electron pocket and hole pocket. The effective model for the type-IV Dirac fermion is also found. It is worth pointing out that there is a type-II Dirac fermion near this new Dirac fermion. So we used two models to describe the coexistence of these two Dirac fermions. Topological surface states of these two Dirac points are also calculated. We envision that our findings will stimulate researchers to study novel physics of type-IV Dirac fermions, as well as the interplay of type-II and type-IV Dirac fermions.
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Kordos, Przemysław. "Patrick Leigh Fermor’s “Hellen-Romaic Dilemma”." Colloquia Humanistica, no. 1 (July 22, 2015): 135–44. http://dx.doi.org/10.11649/ch.2012.010.

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Patrick Leigh Fermor’s “Hellen-Romaic Dilemma”The article discusses one of the guises of the dichotomy between Hellene and Romios, a trope popular among researchers of modern Greek identity. It discusses the provenance and usage of both notions, drawing on the material presented by the English traveller and writer Patrick Leigh Fermor in his monograph Roumeli Travels in Northern Greece (1966). Fermor identified 64 opposing pairs of concepts and situations, and demonstrated the characteristics of Hellene and Romios in relation to each pair. This comparison produces the images of the logical, westernised Hellene, who reveres the accomplishments of ancient Greeks, and the spontaneous, oriental, somewhat backwards Romios, who longs for Byzantium. Although the picture Fermor paints is exaggerated (and slightly whimsical), it nevertheless helps to understand that the image of Hellene, and not that of Romios, is one in which modern Greeks believe and for which they strive.Patricka Leigh Fermora rozterki helleńsko-romejskieAutor omawia jedno z ujęć dychotomii między Hellenem a Romiosem, popularnej w badaniach nad nowogrecką tożsamością. Ukazuje proweniencję i sposób użycia obu pojęć, posługując się materiałem zaprezentowanym przez angielskiego pisarza i podróżnika, Patricka Leigh Fermora, w jego monografii Roumeli Travels in Northern Greece (wyd. 1966). Fermor wyróżnił 64 pary koncepcji i sytuacji, pokazując jak w obrębie każdej z nich funkcjonuje Hellen oraz Romios. Z porównania wyłania się obraz logicznego, zwesternizowanego Hellena, zapatrzonego w dokonania starożytnych Greków oraz spontanicznego, orientalnego, nieco zacofanego Romiosa, który tęskni za Bizancjum. Choć obraz naszkicowany przez Fermora jest przejaskrawiony (oraz nieco żartobliwy), to jednak pomaga zrozumieć, że to obraz Hellena, a nie Romiosa, jest tym, w który wierzą i do którego dążą współcześni Grecy.
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KHOKHLACHEV, S., and YU MAKEENKO. "ADJOINT FERMIONS INDUCE QCD." Modern Physics Letters A 07, no. 39 (December 21, 1992): 3653–67. http://dx.doi.org/10.1142/s0217732392003086.

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We propose to induce QCD by fermions in the adjoint representation of the gauge group SU (Nc) on the lattice. We consider various types of lattice fermions: chiral, Kogut-Susskind and Wilson ones. Using the mean field method we show that a first order large-N phase transition occurs with decreasing fermion mass. We conclude, therefore, that adjoint fermions induce QCD. We draw the same conclusion for the adjoint scalar or fermion models at large number of flavors Nf when they induce a single-plaquette lattice gauge theory. We find an exact strong coupling solution for the adjoint fermion model and show that it is quite similar to that for the Kazakov-Migdal model with the quadratic potential. We discuss the possibility for the adjoint fermion model to be solvable as Nc→∞ in the weak coupling region where the Wilson loops obey normal area law.
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GOERBIG, M. O., P. LEDERER, and C. MORAIS SMITH. "SECOND GENERATION OF COMPOSITE FERMIONS AND THE SELF-SIMILARITY OF THE FRACTIONAL QUANTUM HALL EFFECT." International Journal of Modern Physics B 18, no. 27n29 (November 30, 2004): 3549–52. http://dx.doi.org/10.1142/s0217979204026998.

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A recently developed model of interacting composite fermions, is used to investigate different composite-fermion phases. Their interaction potential allows for the formation of both solid and new quantum-liquid phases, which are interpreted in terms of second-generation composite fermions and which may be responsible for the fractional quantum Hall states observed at unusual filling factors, such as ν=4/11. Projection of the composite-fermion dynamics to a single level, involved in the derivation of the Hamiltonian of interacting composite fermions, reveals the underlying self-similarity of the model.
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ABE, HIROYUKI, HIRONORI MIGUCHI, and TAIZO MUTA. "DYNAMICAL FERMION MASSES UNDER THE INFLUENCE OF KALUZA–KLEIN FERMIONS IN EXTRA DIMENSIONS." Modern Physics Letters A 15, no. 06 (February 28, 2000): 445–54. http://dx.doi.org/10.1142/s0217732300000438.

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The dynamical fermion mass generation in the four-dimensional brane is discussed in a model with five-dimensional Kaluza–Klein fermions in interaction with four-dimensional fermions. It is found that the dynamical fermion masses are generated beyond the critical radius of the compactified extra dimensional space and may be made small compared with the masses of the Kaluza–Klein modes.
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SCAROLA, V. W., S. Y. LEE, and J. K. JAIN. "POSSIBLE NEW PHASES OF COMPOSITE FERMIONS." International Journal of Modern Physics B 16, no. 20n22 (August 30, 2002): 2946–51. http://dx.doi.org/10.1142/s0217979202013262.

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When the effective filling factor of composite fermions is an integer, the residual interaction between them can often be neglected because the ground state of the non-interacting model is unique and incompressible. However, at non-integer composite fermion (CF) filling factors the ground state of composite fermions is enormously degenerate if the interaction between them is neglected, and consideration of the inter composite fermion interaction is necessary for determining the true ground state. In this article, we summarize certain results regarding what new states the inter composite fermion interaction can possibly produce. More details can be found in Refs. [11] and [12].
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Dissertations / Theses on the topic "Fermons"

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Mendes, Wendel Macedo. "Localização de Férmions em D dimensões." reponame:Repositório Institucional da UFC, 2013. http://www.repositorio.ufc.br/handle/riufc/13736.

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MENDES, Wendel Macedo. Localização de Férmions em D dimensões. 2013. 55 f. Dissertação (Mestrado em Física) - Programa de Pós-Graduação em Física, Departamento de Física, Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2013.
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In this work we analyzed the localization of fermions of spin-1/2 in a D-dimensional bulk in a (D-2)-branes scenario. The model used for this is a dimensional extension of models Randall-Sundrum (RS) and thick branes. It is known as co-dimension 1 model. The obtained results are based in no-factorizable geometry type Anti-de Sitter. During the zero mode localization process, it is uses both the Randall-Sundrum metric as a metric with smooth warped factor that depends on the coordinate of extra dimension, frequently used in thick brane models. As the spin-1/2 representations change with dimension of spacetime, the localization process, somehow, must take into account the dimensionality of bulk. Based on these models, one finds that the localization fermions in (D-2)-branes changes when the spacetime is par or odd. They are not located when the dimensionality of bulk is par an only one of chiralities can be located when D is odd.
Nesse trabalho é analizado a localização de férmions de spin 1/2 em um bulk D-dimensional em um cenário de (D-2)-branas. O modelo usado para tal é uma extensão para mais dimesões dos modelos Randall-Sundrum (RS) e de brana espessa. Ele é conhecido como modelo de codimensão 1. Os resultados obtidos são fundamentados em uma geometria não-fatorizável do tipo Anti-de Sitter. Durante o processo de localização do modo zero, usa-se tanto a métrica de Randall-Sundrum como uma métrica com fator de dobra suave que depende da coordenada da dimensão extra, frequentemente usada nos modelos de brana espessa. As representações de spin 1/2 variam com a dimensão do espaço-tempo, então o processo de localização deve levar em conta a dimensionalidade do bulk. Baseados nesses modelos, descobre-se que a localização de férmions em (D-2)-branas muda quando o espaço-tempo é par ou ímpar. Eles não são localizados quando a dimensionalidadedo bulk é par e somente uma das quiralidades pode ser localizada quando D é ímpar.
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Mendes, Wendel Macedo. "LocalizaÃÃo de FÃrmions em D dimensÃes." Universidade Federal do CearÃ, 2013. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=9866.

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FundaÃÃo Cearense de Apoio ao Desenvolvimento Cientifico e TecnolÃgico
Nesse trabalho à analizado a localizaÃÃo de fÃrmions de spin 1/2 em um bulk D-dimensional em um cenÃrio de (D-2)-branas. O modelo usado para tal à uma extensÃo para mais dimesÃes dos modelos Randall-Sundrum (RS) e de brana espessa. Ele à conhecido como modelo de codimensÃo 1. Os resultados obtidos sÃo fundamentados em uma geometria nÃo-fatorizÃvel do tipo Anti-de Sitter. Durante o processo de localizaÃÃo do modo zero, usa-se tanto a mÃtrica de Randall-Sundrum como uma mÃtrica com fator de dobra suave que depende da coordenada da dimensÃo extra, frequentemente usada nos modelos de brana espessa. As representaÃÃes de spin 1/2 variam com a dimensÃo do espaÃo-tempo, entÃo o processo de localizaÃÃo deve levar em conta a dimensionalidade do bulk. Baseados nesses modelos, descobre-se que a localizaÃÃo de fÃrmions em (D-2)-branas muda quando o espaÃo-tempo à par ou Ãmpar. Eles nÃo sÃo localizados quando a dimensionalidadedo bulk à par e somente uma das quiralidades pode ser localizada quando D à Ãmpar.
In this work we analyzed the localization of fermions of spin-1/2 in a D-dimensional bulk in a (D-2)-branes scenario. The model used for this is a dimensional extension of models Randall-Sundrum (RS) and thick branes. It is known as co-dimension 1 model. The obtained results are based in no-factorizable geometry type Anti-de Sitter. During the zero mode localization process, it is uses both the Randall-Sundrum metric as a metric with smooth warped factor that depends on the coordinate of extra dimension, frequently used in thick brane models. As the spin-1/2 representations change with dimension of spacetime, the localization process, somehow, must take into account the dimensionality of bulk. Based on these models, one finds that the localization fermions in (D-2)-branes changes when the spacetime is par or odd. They are not located when the dimensionality of bulk is par an only one of chiralities can be located when D is odd.
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Kershaw, Tristan. "Millikelvin magnetisation studies of low dimensional systems." Thesis, University of Exeter, 2008. http://hdl.handle.net/10036/41133.

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This thesis presents a study of two-dimensional electron systems in GaAs-(Al,Ga)As heterojunctions and quasi-two-dimensional electron and hole systems in graphite within the quantum Hall effect regime of low temperature and high magnetic field. This thesis covers three main sets of experimental work as well as details of the experimental methods (chapter 2) used and the background theory behind the observed results (chapter 1). The first experimental results presented in this thesis in chapter 3 focus on contactless measurement of the equilibrium magnetisation of sample A2268, a ten layer multiple quantum well sample. Fitting the shape of dHvA oscillations at various temperatures to different models for the density of states, various properties of the system can be estimated, such as the shape of the disorder-broadened density of states and the presence of a background density of states between the Landau levels. Chapter 4 focuses on measurements of the decay of induced circulating currents in the quasi-dissipationless quantum Hall regime in two samples, V0049 and T73. The induced current is measured via contactless measurement of the associated magnetic moment. The magnitude of the induced current is found to be affected by the sweep rate of the magnetic field and also the distance of approach. The decay of the induced currents is observed at several temperatures and for different magnetic field sweep rates and distances of approach. Decays are observed for up to several days at time, far longer than previously possible. Information about the rate of decay can be used to build a picture of the decay mechanisms present in the quantum Hall regime. The presence of a power-law decay regime indicates many decay mechanisms contribute to the decay of a circulating current in the quasi-dissipationless quantum Hall regime. Chapter 5 focuses on both contactless magnetometry and transport experiments carried out on a graphite sample. The experiments aim to confirm or dispute recent claims of Dirac fermions in graphite. Experiments are carried out at temperatures in the range 30 mK to ~4 K and at two different angles to the applied magnetic field. Phase analysis of both Shubnikov de Haas and de Haas van Alphen oscillations is used to distinguish between normal and Dirac fermions. Observation of quantum Hall effect displays the presence of a half-integer quantum Hall staircase similar to that observed in graphene.
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Bullinaria, J. A. "Kaehler fermions." Thesis, University of Southampton, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.356054.

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Snyman, Izak. "Analysis and applications of the generalised Dyson mapping." Thesis, Stellenbosch : Stellenbosch University, 2004. http://hdl.handle.net/10019.1/49829.

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Thesis (MSc)--Stellenbosch University, 2004.
ENGLISH ABSTRACT: In this thesis, generalized Dyson boson-fermion mappings are considered. These are techniques used in the analysis of the quantum many-body problem, and are instances of so-called boson expansion methods. A generalized Dyson boson-fermion mapping, or a Dyson mapping for short, is a one-to-one linear but non-unitary operator that can be applied to vectors representing the states of a many-fermion system. A vector representing a fermion system maps onto a vector that is most naturally interpreted as representing a state of a many-body system that contains both bosons and fermions. The motivation for doing such a mapping is the hope that the mapping will reveal some property of the system that simplifies its analysis and that was hidden in the original form. The aims of this thesis are 1. to review the theory of generalized Dyson boson-fermion mappings, 2. by considering a tutorial example, to demonstrate that it is feasible to implement the theory and 3. to find a useful application for a generalized Dyson boson-fermion mapping, by considering a non-trivial model, namely the Richardson model for superconductivity. The realization of the first two aims mainly involve the collecting together of ideas that have already appeared in the literature, into one coherent text. Some subtle points that were treated only briefly due to space restrictions in the journal publications where the theory was first expounded, are elaborated on in the present work. On the other hand, the analysis of the Richardson Hamiltonian that uses a Dyson mapping, goes beyond what has already appeared in the literature. It is the first time that a boson expansion technique is implemented for a system where the roles of both collective and non-collective fermion pairs are important. (The Dyson mapping associates bosons with Cooper pairs, while the fermions not bound in Cooper pairs result in fermions being present in the mapped system as well.) What is found is that the Dyson mapping uncovers non-trivial properties of the system. These properties aid the construction of time-independent perturbation expansions for the stationary states of the system, as well as time-dependent expansions for transition amplitudes between states. The time-independent expansions agree with results that other authors obtained through methods other than boson expansions. The time-dependent expansions, that one would be hard-pressed to develop without a Dyson mapping, might in future prove useful in understanding aspects of the dynamics of ultracold fermi gases, when time-dependent magnetic fields are used to vary the atom-atom interaction strenght.
AFRIKAANSE OPSOMMING: In hierdie tesis word veralgemeende Dyson boson-fermion-afbeeldings ondersoek. Hierdie afbeeldings word gebruik in die analise van die kwantum veeldeeltjie probleem, en is voorbeelde van sogenaamde boson-uitbreidingstegnieke. 'n Veralgemeende Dyson bosonfermion- afbeelding, of kortweg 'n Dyson afbeelding, is 'n een-tot-een, lineêre maar nie-unitêre operator wat inwerk op vektore wat toestande verteenwoordig van 'n veel-fermion sisteem. 'n Vektor wat 'n fermionsisteem verteenwoordig word so afgebeeld op 'n vektor waarvoor die mees natuurlike interpretasie is dat dit 'n toestand verteenwoordig van 'n sisteem waarin beide bosone en fermione aanwesig is. So 'n afbeelding word gewoonlik gemaak in die hoop dat eienskappe van die sisteem, wat versteek was in die oorspronklike weergawe, voor-die-hand-liggend is na die afbeelding. Hierdie tesis het ten doel 1. om die teorie van veralgemeende Dyson boson-fermion-afbeeldings te hersien, 2. om 'n eenvoudige voorbeeld deur te werk, en so te demonstreer dat die teorie sonder moeite geïmplimenteer kan word en 3. om 'n nuttige toepassing te vind vir 'n veralgemeende Dyson boson-fermion-afbeelding deur 'n nie-triviale model, naamlik die Richardson model vir supergeleiding, te ondersoek. Die eerste twee van hierdie doelwitte behels hoofsaaklik dat idees wat reeds in die literatuur verskyn het, saamgevat word in een koherente teks. Sommige subtiele punte wat, vanwee beperkte ruimte, slegs kortliks bespreek is in die joernaalartikels waarin die teorie oorspronklik verskyn het, word in hierdie tesis meer breedvoering bespreek. Daarteenoor verteenwoordig die analise van die Richardson model met behulp van 'n Dyson afbeelding 'n nuwe bydra. Dit is naamlik die eerste keer dat 'n bosonuitbreiding ingespan word vir 'n sisteem waar sowel kollektiewe as nie-kollektiewe fermionpare 'n belangrike rol speel. (Die Dyson afbeelding assosieer bosone met die oorspronklike sisteem se Cooper pare, terwyl die fermione wat in die oorspronklike sisteem nie tot Cooper pare gebind is nie, sorg dat daar ook fermione teenwoordig is in die afgebeelde sisteem.) Ons vind dat die Dyson afbeelding nie-triviale eienskappe van die sisteem aan die lig bring. Hierdie eienskappe is nuttig vir die konstruksie van beide tyd-onafhanklike steuringsreekse vir die stasionêre toestande van die sisteem en vir tyd-afhanklike steuringsreekse vir oorgangsamplitudes tussen toestande. Die tyd-onafhanklike uitbreidings stem ooreen met resultate wat ander outeurs afgelei het sonder die gebruik van 'n Dyson afbeelding. Die tyd-afhanklike uitbreidings, wat kwalik afgelei kan word sonder 'n Dyson afbeelding, mag vorentoe nuttig wees om aspekte van die dinamika van baie koue Fermi gasse te verstaan, wanneer tydafhanklike magneetvelde gebruik word om die inter-atoomwisselwerking te manipuleer.
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Espin, Johnny. "Second-order fermions." Thesis, University of Nottingham, 2015. http://eprints.nottingham.ac.uk/29954/.

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It has been proposed several times in the past that one can obtain an equivalent, but in many aspects simpler description of fermions by first reformulating their first-order (Dirac) Lagrangian in terms of two-component spinors, and then integrating out the spinors of one chirality (e.g.primed or dotted). The resulting new Lagrangian is second-order in derivatives, and contains two-component spinors of only one chirality. The new second-order formulation simplifies the fermion Feynman rules of the theory considerably, e.g. the propagator becomes a multiple of an identity matrix in the field space. The aim of this thesis is to work out the details of this formulation for theories such as Quantum Electrodynamics, and the Standard Model of elementary particles. After having developed the tools necessary to establish the second-order formalism as an equivalent approach to spinor field theories, we proceed with some important consistency checks that the new formulation is required to pass, namely the presence or absence of anomalies in their perturbative and non-perturbative description, and the unitarity of the S-Matrix derived from their Lagrangian. Another aspect which is studied is unification, where we seek novel gauge-groups that can be used to embed all of the Standard Model content: forces and fermionic representations. Finally, we will explore the possibility to unify gravity and the Standard Model when the former is seen as a diffeomorphism invariant gauge-theory.
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Berzi, Alan. "Relativistic Fermions in Graphene." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk, 2012. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-20657.

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The Fermi surface of graphene contains points where the connection between excitation energy and crystal momentum is linear, similar to massless or ultrarelativistic fermions. This is important for the physical properties of this material. In this thesis the candidate has combined a study of the theoretical and experimental literature with his own calculations of the excitation spectra of monolayer, bilayer and multilayer graphene.
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Ebling, Ulrich. "Dynamics of spinor fermions." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/284656.

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Ultracold atomic gases have established themselves as quantum systems, which are clean and offer a high degree of control over crucial parameters. They are well isolated from their environment and thus offer the possibility to study coherent many-body dynamics. In this thesis, we address the dynamics of ultracold Fermions with large spin. Fermionic spinor gases differ from the typical situation in condensed matter physics, due to both the presence of the trap and the possibility of having fermions with large (>1/2) spin. Compared to the spin-1/2 case, large spin fermions must have one of two possible new properties. Either they obey an enhanced SU(N) symmetry, or they feature spin-changing collisions and a quadratic Zeeman shift. Here, we address the latter case. In the weakly interacting scenario, there are three different regimes. For very weak interactions, the system is in the collisionless regime and interactions can be taken into account on a mean-field level. For stronger interactions, collisions ensure local equilibrium and the system is described by hydrodynamic equations. For the intermediate regime however, there is no simple description. Moreover, the scattering cross-section for spin-changing and spin-conserving collisions can be different for large-spin fermions and we find a situation, where the system is hydrodynamic with respect to one process but not the other. In this thesis, a semi-classical Boltzmann equation with full spin coherence is developed, which allows to interpolate between the collisionless and hydrodynamic regime in the presence of the trap and for large spins. This approach goes beyond mean-field theory and treats the single-particle dynamics as an open system coupled to an environment given by all other particles. We find good agreement with experiments performed in the group of Klaus Sengstock at Hamburg University, using ultracold Potassium-40. We begin by investigating the effect of the harmonic trap on a collisionless system. We find a dynamical mechanism for spin-segregation, the mean-field driven creation of two domains of opposite magnetization in phase-space. The effect finds a transparent explanation when introducing the concept of dynamically induced long-range interactions, occurring when the fast phase-space rotation induced by a strong parabolic trap effectively smears out the contact interactions. Further results in this thesis have been achieved in collaboration with the experimental group in Hamburg. In the first project, we study the collective excitations of a trapped four-component Fermi gas. Long wavelength spin waves are excited by using a magnetic field gradient to wind up a spin spiral. During the subsequent dynamics, the spin components oscillate in the trap, while the total density remains constant. The dynamics can be understood quantitatively by disentangling it into dipolar, nematic and octupolar configurations. In a further experiment with spin-9/2 fermions, it was found that spin-changing interactions can lead to collective and coherent oscillations of the spin state of the whole Fermi sea with long lifetimes. It is found theoretically, that these giant oscillations are protected from spatial dephasing by dynamically induced long-range interactions. We identify the suppression of such oscillations in the high-density regime as the consequence of incoherent non-forward scattering. In the last project, we study collision processes in ultracold Potassium in greater detail. We find that they can be arranged in 3 categories: Spin-changing vs. spin-conserving collisions, processes depending on density vs. processes depending on density gradients and forward vs. lateral scattering. With this categorization, as well as the exact dependence of each process on scattering lengths and momenta, we can explain and simulate not only the coherent mean-field driven oscillations, but also relaxation effects that appear to be incoherent on the single-particle level
Gases atómicos ultrafríos han establecido como sistemas cuánticos limpias que ofrecen un alto grado de control sobre parámetros cruciales. Están bien aisladas de su entorno y por eso ofrecen la posibilidad de estudiar la dinámica coherente de muchos cuerpos. En esta tesis, estudiamos la dinámica de fermiones ultrafríos con spin largo. Gases espinoriales fermiónicos difieren de la situación típica en la física de materia condensada por la presencia de la trampa y la posibilidad de tener un spin largo (> 1/2). En comparación con el caso de spin 1/2, fermiones de espín largo deben tener una de dos posibles propiedades nuevas. Obedecen a una simetría ampliada SU(N), o muestran colisiones spin-cambiante y un efecto Zeeman cuadrático. Aqui tratamos el segundo caso. En el escenario de interacciónes débiles, hay tres regímenes diferentes. Para interacciones muy débiles, el sistema está en el régimen sin colisiones e interacciones se puede describir en un nivel de campo medio. Para interacciones fuertes, las colisiones garantizan el equilibrio local y el sistema es descrito por ecuaciones hidrodinámicas. Para el régimen intermedio, no hay una descripción sencilla. Ademas, la sección transversa de dispersión para colisiones spin-cambiantes y de spin-conservación puede ser diferente para fermiones de espín largo. Encontramos una situación, donde el sistema es hidrodinámico con respecto a un proceso, pero no a la otra. En esta tesis desarrollamos una ecuación de Boltzmann semi-clásica, que permite interpolar el régimen intermedio, en presencia de la trampa y para espín largo. Este enfoque trata la dinámica de un cuerpo como un sistema abierto, acoplado a un entorno determinado por todas las atomos demás. Encontramos un buen acuerdo con experimentos realizados en el grupo de Klaus Sengstock en la Universidad de Hamburgo, hechos con potasio-40 ultrafrío. Comenzamos investigando el efecto de la trampa armónica en un sistema sin colisiones. Encontramos un mecanismo dinámico par la segregación de spin, la creación de dos dominios de magnetización opuesta en el espacio fásico, impulsada por el campo medio. Encontramos una explicación transparente de este efecto con la introducción del concepto de interacciones de largo alcance inducidos dinámicamente, que se forma cuando una fuerte trampa parabólica desenfoque eficazmente las interacciones de contacto. Otros resultados de esta tesis han sido realizados en colaboración con el grupo experimental en Hamburgo. En el primer proyecto, estudiamos las excitaciones colectivas de un gas de Fermi atrapada, con cuatro componentes de spin. Ondas de spin con larga longitud de onda se excitan mediante un gradiente de campo magnético. Durante la dinámica siguiente, los componentes de spin oscilan en la trampa, mientras que la densidad total permanece constante. Podemos entender esta dinámica cuantitativamente desligandola en configuraciones dipolares, nemáticos y octupolares de espín. En un experimento siguiente con fermiones de spin 9/2, se encontró que las interacciones spin-cambiando pueden activar oscilaciones colectivas y coherentes del estado de spin de todo el mar de Fermi con duración larga. Descubrimos teóricamente, que estas oscilaciones gigantes están protegidos de desfase espacial por las interacciones de largo alcance inducidos dinámicamente. Identificamos la supresión de tales oscilaciones en el régimen de alta densidad como la consecuencia de la dispersión incoherente lateral. En el último proyecto, estudiamos los procesos de colisión en potasio ultrafrío en mas detalle. Podemos organizarlos en tres categorías: Colisiones spin-cambiante vs. spin-conservación, procesos dependiente de la densidad vs. gradientes de densidad y colisiones hacia adelante vs. laterales. Con esta clasificación y la dependencia en la longitud de dispersión y momentos, podemos explicar y simular no sólo las oscilaciones coherentes impulsados por el campo medio, sino también efectos de relajación
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9

Laia, João Nuno De Araújo Lopes. "Holography, holonomy and fermions." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610474.

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Mou, Zong-Gang. "Fermions in electroweak baryogenesis." Thesis, University of Nottingham, 2015. http://eprints.nottingham.ac.uk/30597/.

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We study the chiral anomaly by solving the Dirac equation for fermions in parallel electric and magnetic fields. In such case, only the lowest-energy Landau levels are relevant to the anomaly. Specifically, for massless fermions, the chiral anomaly is a result of the production of particles of one chirality, and no creation of particles of the other chirality. For massive fermions, we find that the chiral anomaly equation can be simply obtained via a proper regularization of the range of the momentum. We extend the method to anomaly cancellation, and conclude that the conservation of the baryon number plus lepton number must be violated as a quantum anomaly in the context of the Standard Model. Accordingly, such baryon number non-conservation can play a vital role during the electroweak transition to achieve the baryon asymmetry of the Universe. Through real-time lattice simulations, we refine the implementation of ensemble fermions for a cold electroweak transition, involving the SU (2) gauge field, Higgs field and one generation of fermions. We find that the dynamics and most observables converge quickly with a reasonable number of fermion realizations, and the method of ensemble fermions for the entire electroweak sector becomes numerically tractable. We apply the method to the computation of the effective preheating temperature during a fast electroweak transition, relevant for Cold Electroweak Baryogenesis. We find that the fermion temperature is never below 20 GeV, and this can indirectly rule out Standard Model CP -violation as the origin of the baryon asymmetry of the Universe, as Standard Model cold baryogenesis requires a temperature of at most of order of 1 GeV. For this reason, new CP -violation source from physics beyond the Standard Model is required in order to explain the baryon asymmetry. We further present a first-principles numerical computation of the baryon asymmetry in electroweak-scale baryogenesis, where the CP -violation is obtained as a consequence of including another Higgs doublet. For one particularly favourable scalar potential that could provide a high sphaleron transition rate, we calculate the asymmetry through large-scale computer simulations. The numerical signal is at the boundary of what is numerically discernible with the available computer resources, but we tentatively find an asymmetry of |η| ≤ 3.5 × 10−7 . We also find it is attainable to include the complete electroweak SU (2) × U (1) gauge fields in the reduced Standard Model that we are using in practical simulations, so that in further studies we can measure the cosmic magnetic field generated during the electroweak phase transition.
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Books on the topic "Fermons"

1

Iachello, F. The interacting Boson-Fermion model. Cambridge [England]: Cambridge University Press, 1991.

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Kopietz, Peter. Bosonization of interacting fermions in arbitrary dimensions. Berlin: Springer, 1997.

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Wojciechowski, Ryszard J. Thermodynamic and elastic properties of heavy fermion systems in the normal state. Poznań: Wydawn. Nauk. Uniwersytetu im. Adama Mickiewica w Poznaniu, 1994.

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Lavelli, Gian Paolo. FERMASS. dialetto: Fontana Edizioni SA Lugano, 2008.

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Lavelli, Gian Paolo. FERMASS. dialetto: Fontana Edizioni SA Lugano, 2008.

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Welp, Ulrich. Heavy fermion behaviour and magnetism in CeB r, CePb r and Ucu r. Konstanz: Hartung-Gorre, 1989.

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Zurlini, Fabiola. Romolo Spezioli (Fermo, 1642-Roma, 1723): Un medico fermano nel XVII secolo a Roma. Manziana (Roma): Vecchiarelli Editore, 2000.

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Les ferments. [Ottawa?: s.n.], 1995.

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Fermina Márquez. London: Quartet, 1988.

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Larbaud, Valéry. Fermina Márquez. London: Quartet Books, 1988.

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Book chapters on the topic "Fermons"

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Foerster, D., and N. Schopohl. "Hidden Symmetry of Strongly Correlated Fermons." In NATO ASI Series, 63–69. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-1042-4_7.

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Laine, Mikko, and Aleksi Vuorinen. "Fermions." In Basics of Thermal Field Theory, 65–79. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31933-9_4.

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Roepstorff, Gert. "Fermions." In Path Integral Approach to Quantum Physics, 316–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57886-1_10.

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Cline, James M. "Fermions." In SpringerBriefs in Physics, 65–78. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56168-0_10.

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Kibler, Maurice, Mohammed Daoud, and Maurice Kibler. "Fermions." In Concise Encyclopedia of Supersymmetry, 212–13. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_278.

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Stone, Michael. "Fermions." In Graduate Texts in Contemporary Physics, 72–82. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-0507-4_7.

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’t Hooft, Gerard. "Fermions." In Fundamental Theories of Physics, 147–67. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41285-6_15.

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Gattringer, Christof, and Christian B. Lang. "Dynamical fermions." In Quantum Chromodynamics on the Lattice, 185–211. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01850-3_8.

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Varma, C. M. "Heavy Fermions." In Springer Series in Solid-State Sciences, 117–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-83425-7_5.

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Stumpf, Harald, and Thomas Borne. "Fermions and Gravitation." In Composite Particle Dynamics in Quantum Field Theory, 153–74. Wiesbaden: Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-83901-5_8.

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Conference papers on the topic "Fermons"

1

Rantaharju, Jarno, Vincent Drach, Ari Hietanen, Claudio Pica, and Francesco Sannino. "Wilson Fermions with Four Fermion Interactions." In The 33rd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.251.0228.

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Kanamoto, Rina, and Makoto Tsubota. "Energy Spectrum of Fermions in a Rotating Boson-Fermion Mixture." In LOW TEMPERATURE PHYSICS: 24th International Conference on Low Temperature Physics - LT24. AIP, 2006. http://dx.doi.org/10.1063/1.2354606.

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Nagata, Keitaro. "A property of fermions at finite density by a reduction formula of fermion determinant." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0207.

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Krasnopevtsev, Evgeniy. "CORRELATION INTERACTIONS OF QUANTUM PARTICLES." In CAD/EDA/SIMULATION IN MODERN ELECTRONICS 2019. Bryansk State Technical University, 2019. http://dx.doi.org/10.30987/conferencearticle_5e0282125ffab5.12610259.

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Correlation of particles number in an equilibrium thermal state of quantum gas is caused mutual «interference repulsion» and antibunching at fermions and «interference attraction» and bunching at bosons.
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AMBRUŞ, VICTOR E., and ELIZABETH WINSTANLEY. "ROTATING FERMIONS." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0330.

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Skouroupathis, Apostolos, and Haralambos Panagopoulos. "O(\aplha_L^2) perturbative Green's functions of the fermion propagator, and of local and extended fermion bilinear operators, with Symanzik improved gluons and SLiNC fermions." In The XXVIII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0240.

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Kawarabayashi, Tohru, Takahiro Honda, Hideo Aoki, and Yasuhiro Hatsugai. "Chiral symmetry and fermion doubling in the zero-mode Landau levels of massless Dirac fermions with disorder." In THE PHYSICS OF SEMICONDUCTORS: Proceedings of the 31st International Conference on the Physics of Semiconductors (ICPS) 2012. AIP, 2013. http://dx.doi.org/10.1063/1.4848396.

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Creutz, Michael. "Local chiral fermions." In The XXVI International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.066.0080.

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Osborn, James, and Xiao-Yong Jin. "Flavor Filtered Fermions." In The 33rd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.251.0287.

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Tomé, Bernardo. "Search for Excited fermions." In International Europhysics Conference on High Energy Physics. Trieste, Italy: Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.021.0313.

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Reports on the topic "Fermons"

1

Vekhter, Ilya. Inhomogeneous disorder Dirac Fermions: from heavy fermion superconductors to graphene. Final report. Office of Scientific and Technical Information (OSTI), August 2013. http://dx.doi.org/10.2172/1089679.

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Grossman, Y. Twisted Split Fermions. Office of Scientific and Technical Information (OSTI), July 2004. http://dx.doi.org/10.2172/827303.

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Hirshfeld, Allen C. Fermions and Supersymmetry. GIQ, 2012. http://dx.doi.org/10.7546/giq-5-2004-51-66.

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Pu, Han, and Randall Hulet. Optical Lattice Simulations of Correlated Fermions. Fort Belvoir, VA: Defense Technical Information Center, October 2013. http://dx.doi.org/10.21236/ada603643.

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Trugman, S., K. Bedell, J. Bonca, M. Gulacsi, and C. Yu. Heavy fermions in high magnetic fields. Office of Scientific and Technical Information (OSTI), May 1996. http://dx.doi.org/10.2172/266362.

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Horng, Jason, Chi-Fan Chen, Baisong Geng, Caglar Girit, Yuanbo Zhang, Zhao Hao, Hans A. Bechtel, Michael Martin, Alex Zettl, and Michael F. Crommie. Drude Conductivity of Dirac Fermions in Graphene. Fort Belvoir, VA: Defense Technical Information Center, January 2010. http://dx.doi.org/10.21236/ada526672.

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Pan, Wei, Xiaoyan Shi, Samuel D. Hawkins, and John Frederick Klem. Search for Majorana fermions in topological superconductors. Office of Scientific and Technical Information (OSTI), October 2014. http://dx.doi.org/10.2172/1177084.

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Chan, H. S. Continuum regularization of gauge theory with fermions. Office of Scientific and Technical Information (OSTI), March 1987. http://dx.doi.org/10.2172/6347357.

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Bernard, C., and A. Soni. Update on B{sub K} with Wilson fermions. Office of Scientific and Technical Information (OSTI), December 1994. http://dx.doi.org/10.2172/10109670.

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Gezerlis, Alexandros, and Joseph A. Carlson. Strongly-paired fermions: cold atoms and neutron matter. Office of Scientific and Technical Information (OSTI), November 2007. http://dx.doi.org/10.2172/1454972.

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