Relevant bibliographies by topics / Fermionic lattice models

Contents

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

Academic literature on the topic 'Fermionic lattice models'

Author: Grafiati
Published: 4 May 2024

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Journal articles on the topic "Fermionic lattice models"

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Zhao, J., C. A. Jiménez-Hoyos, G. E. Scuseria, D. Huerga, J. Dukelsky, S. M. A. Rombouts, and G. Ortiz. "Composite fermion-boson mapping for fermionic lattice models." Journal of Physics: Condensed Matter 26, no. 45 (October 16, 2014): 455601. http://dx.doi.org/10.1088/0953-8984/26/45/455601.

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Matlak, M., B. Grabiec, and S. Krawiec. "Electronic Correlations within Fermionic Lattice Models." Acta Physica Polonica A 112, no. 3 (September 2007): 537–47. http://dx.doi.org/10.12693/aphyspola.112.537.

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Bennett, Ed, Jack Holligan, Deog Ki Hong, Ho Hsiao, Jong-Wan Lee, C. J. David Lin, Biagio Lucini, Michele Mesiti, Maurizio Piai, and Davide Vadacchino. "Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics." Universe 9, no. 5 (May 17, 2023): 236. http://dx.doi.org/10.3390/universe9050236.

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We review the current status of the long-term programme of numerical investigation of Sp(2N) gauge theories with and without fermionic matter content. We start by introducing the phenomenological as well as theoretical motivations for this research programme, which are related to composite Higgs models, models of partial top compositeness, dark matter models, and in general to the physics of strongly coupled theories and their approach to the large-N limit. We summarise the results of lattice studies conducted so far in the Sp(2N) Yang–Mills theories, measuring the string tension, the mass spectrum of glueballs and the topological susceptibility, and discuss their large-N extrapolation. We then focus our discussion on Sp(4), and summarise the numerical measurements of mass and decay constant of mesons in the theories with fermion matter in either the fundamental or the antisymmetric representation, first in the quenched approximation, and then with dynamical fermions. We finally discuss the case of dynamical fermions in mixed representations, and exotic composite fermion states such as the chimera baryons. We conclude by sketching the future stages of the programme. We also describe our approach to open access.
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FURUKAWA, NOBUO, SHIN MIYAHARA, and C. HOTTA. "FRUSTRATED METALS ON A TRIANGULAR LATTICE." International Journal of Modern Physics C 20, no. 09 (September 2009): 1477–84. http://dx.doi.org/10.1142/s0129183109014539.

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Frustrated metals are investigated by numerical methods. In the absence of fermionic dynamics, the models are equivalent to a frustrated Ising model on a geometrically frustrated lattice, where macroscopic degeneracies are observed in the ground states. By taking into account fermionic hoppings, the models show partial loss of degeneracy, but still remains to be frustrated. Various properties of the system, including charge correlations, are also examined.
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Gaiotto, Davide, and Anton Kapustin. "Spin TQFTs and fermionic phases of matter." International Journal of Modern Physics A 31, no. 28n29 (October 19, 2016): 1645044. http://dx.doi.org/10.1142/s0217751x16450445.

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We study lattice constructions of gapped fermionic phases of matter. We show that the construction of fermionic Symmetry Protected Topological orders by Gu and Wen has a hidden dependence on a discrete spin structure on the Euclidean space-time. The spin structure is needed to resolve ambiguities which are otherwise present. An identical ambiguity is shown to arise in the fermionic analog of the string-net construction of 2D topological orders. We argue that the need for a spin structure is a general feature of lattice models with local fermionic degrees of freedom and is a lattice analog of the spin-statistics relation.
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Itoh, K., M. Kato, H. Sawanaka, H. So, and N. Ukita. "Fermionic symmetry in Ichimatsu-decomposed lattice models." Nuclear Physics B - Proceedings Supplements 119 (May 2003): 903–5. http://dx.doi.org/10.1016/s0920-5632(03)80481-4.

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PESANDO, IGOR. "VECTOR INDUCED LATTICE GAUGE THEORIES." Modern Physics Letters A 08, no. 29 (September 21, 1993): 2793–801. http://dx.doi.org/10.1142/s0217732393003184.

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We consider vector induced lattice gauge theories, in particular we consider the QED induced and we show that at negative temperature corresponds to the dimer problem while at positive temperature it describes a gas of branched polymers with loops. We show that the fermionic models have D c = 6 as upper critical dimension for N ≠ ∞ while the N = ∞ model has no upper critical dimension. We also show that the bosonic models without potential are not critical in the range of stability of the integral definition of the partition function but they behave as the fermionic models when we analytically continue the free energy.
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Sazonov, V. K. "Convergent perturbation theory for lattice models with fermions." International Journal of Modern Physics A 31, no. 13 (May 8, 2016): 1650072. http://dx.doi.org/10.1142/s0217751x1650072x.

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The standard perturbation theory in QFT and lattice models leads to the asymptotic expansions. However, an appropriate regularization of the path or lattice integrals allows one to construct convergent series with an infinite radius of the convergence. In the earlier studies, this approach was applied to the purely bosonic systems. Here, using bosonization, we develop the convergent perturbation theory for a toy lattice model with interacting fermionic and bosonic fields.
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Giordano, Matteo, and Tamás Kovács. "Localization of Dirac Fermions in Finite-Temperature Gauge Theory." Universe 7, no. 6 (June 8, 2021): 194. http://dx.doi.org/10.3390/universe7060194.

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It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can undergo an Anderson-type localization transition. This transition affects eigenmodes in the lowest part of the Dirac spectrum, the ones most relevant to the low-energy physics of these models. Here we review several aspects of this phenomenon, mostly using the tools of lattice gauge theory. In particular, we discuss how the transition is related to the finite-temperature transitions leading to the deconfinement of fermions, as well as to the restoration of chiral symmetry that is spontaneously broken at low temperature. Other topics we touch upon are the universality of the transition, and its connection to topological excitations (instantons) of the gauge field and the associated fermionic zero modes. While the main focus is on Quantum Chromodynamics, we also discuss how the localization transition appears in other related models with different fermionic contents (including the quenched approximation), gauge groups, and in different space-time dimensions. Finally, we offer some speculations about the physical relevance of the localization transition in these models.
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Ul Haq, Rukhsan, and Louis H. Kauffman. "Z2 Topological Order and Topological Protection of Majorana Fermion Qubits." Condensed Matter 6, no. 1 (February 24, 2021): 11. http://dx.doi.org/10.3390/condmat6010011.

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The Kitaev chain model exhibits topological order that manifests as topological degeneracy, Majorana edge modes and Z2 topological invariant of the bulk spectrum. This model can be obtained from a transverse field Ising model(TFIM) using the Jordan–Wigner transformation. TFIM has neither topological degeneracy nor any edge modes. Topological degeneracy associated with topological order is central to topological quantum computation. In this paper, we explore topological protection of the ground state manifold in the case of Majorana fermion models which exhibit Z2 topological order. We show that there are at least two different ways to understand this topological protection of Majorana fermion qubits: one way is based on fermionic mode operators and the other is based on anti-commuting symmetry operators. We also show how these two different ways are related to each other. We provide a very general approach to understanding the topological protection of Majorana fermion qubits in the case of lattice Hamiltonians. We then show how in topological phases in Majorana fermion models gives rise to new braid group representations. So, we give a unifying and broad perspective of topological phases in Majorana fermion models based on anti-commuting symmetry operators and braid group representations of Majorana fermions as anyons.
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Dissertations / Theses on the topic "Fermionic lattice models"

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Agostinelli, Chiara. "Edge states and zero modes in quadratic fermionic models on a 1-D lattice." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/9344/.

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In una formulazione rigorosa della teoria quantistica, la definizione della varietà Riemanniana spaziale su cui il sistema è vincolato gioca un ruolo fondamentale. La presenza di un bordo sottolinea l'aspetto quantistico del sistema: l'imposizione di condizioni al contorno determina la discretizzazione degli autovalori del Laplaciano, come accade con condizioni note quali quelle periodiche, di Neumann o di Dirichlet. Tuttavia, non sono le uniche possibili. Qualsiasi condizione al bordo che garantisca l'autoaggiunzione dell' operatore Hamiltoniano è ammissibile. Tutte le possibili boundary conditions possono essere catalogate a partire dalla richiesta di conservazione del flusso al bordo della varietà. Alcune possibili condizioni al contorno, permettono l'esistenza di stati legati al bordo, cioè autostati dell' Hamiltoniana con autovalori negativi, detti edge states. Lo scopo di questa tesi è quello di investigare gli effetti di bordo in sistemi unidimensionali implementati su un reticolo discreto, nella prospettiva di capire come simulare proprietà di edge in un reticolo ottico. Il primo caso considerato è un sistema di elettroni liberi. La presenza di edge states è completamente determinata dai parametri di bordo del Laplaciano discreto. Al massimo due edge states emergono, e possono essere legati all' estremità destra o sinistra della catena a seconda delle condizioni al contorno. Anche il modo in cui decadono dal bordo al bulk e completamente determinato dalla scelta delle condizioni. Ammettendo un' interazione quadratica tra siti primi vicini, un secondo tipo di stati emerge in relazione sia alle condizioni al contorno che ai parametri del bulk. Questi stati sono chiamati zero modes, in quanto esiste la possibilità che siano degeneri con lo stato fondamentale. Per implementare le più generali condizioni al contorno, specialmente nel caso interagente, è necessario utilizzare un metodo generale per la diagonalizzazione, che estende la tecnica di Lieb-Shultz-Mattis per Hamiltoniane quadratiche a matrici complesse.
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Stenzel, Leo Johannes Martin [Verfasser], and Ulrich [Akademischer Betreuer] Schollwöck. "Quantum Hall effect in interacting fermionic lattice models / Leo Johannes Martin Stenzel ; Betreuer: Ulrich Schollwöck." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2020. http://d-nb.info/1225683025/34.

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Linnér, Erik. "Interplay of collective fluctuations in strongly correlated fermionic systems." Electronic Thesis or Diss., Institut polytechnique de Paris, 2023. http://www.theses.fr/2023IPPAX090.

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Les systèmes fortement corrélés présentent souvent des diagrammes de phase riches avec différentes phases ordonnées impliquant des degrés de liberté de spin, de charge, d'appariement ou d'orbitale. La description théorique de la compétition entre les différentes instabilités dans les systèmes fortement corrélés, qui donne lieu à cette phénoménologie, reste l'un des Saint-Graal de la théorie moderne de la matière condensée. Elle pose un énorme défi de complexité à la fois conceptuelle et numérique, et l'interaction des fluctuations électroniques concurrentes constitue donc un obstacle à la compréhension des diagrammes de phase complexes d'une large gamme de matériaux quantiques corrélés. Cela motive la recherche de méthodes simplifiées pour étudier l'interaction des fluctuations collectives.Nous présentons une extension multicanal de l'approche du champ fluctuant récemment développée pour les fluctuations collectives concurrentes dans les systèmes électroniques corrélés. La méthode est basée sur une optimisation variationnelle d'une action d'essai qui contient explicitement les paramètres d'ordre des principaux canaux de fluctuation. Elle donne un accès direct à l'énergie libre du système, facilitant la distinction entre les phases stables et métastables du système. Nous appliquons notre approche au modèle de Hubbard étendu, un modèle de fermions sur réseau paradigmatique, qui occupe une place de choix dans la théorie de la matière condensée en raison de la pertinence potentielle de ses versions répulsives et attractives pour les matériaux électroniques et les systèmes artificiels. En utilisant notre technique pour étudier le régime de couplage faible à intermédiaire de l'interaction répulsive, nous constatons qu'elle capture la compétition entre les fluctuations d'onde de densité de charge et des fluctuations antiferromagnétiques en accord qualitatif avec des méthodes numériquement plus coûteuses. En outre, cette méthode permet d'accéder aux propriétés des états excités et aux effets de corrélation à plusieurs corps, directement sur l'axe des fréquences réelles sans utiliser de techniques de continuation analytique numériques. L'approche du champ fluctuant multicanal offre donc une voie prometteuse pour un traitement numériquement peu coûteux de l'interaction entre les fluctuations collectives dans les systèmes de petite et grande taille.En utilisant l'approche introduite du champ fluctuant multicanal, nous explorons le diagramme de phase du modèle de Hubbard étendu dans les régimes répulsif et attractif, en abordant l'interaction des fluctuations dans les canaux antiferromagnétiques, de l'onde de densité de charge, de l'onde s supraconductrice et de la séparation de phases. Bien que ce modèle ait été étudié de manière intensive depuis des décennies, notre nouvelle approche nous permet d'identifier une nouvelle phase caractérisée par la coexistence de fluctuations collectives de l'onde s supraconductrice et de la séparation de phases. Ces résultats sont en accord avec les observations précédentes de phases supraconductrices et de séparation de phases dans les systèmes électroniques, notamment dans les supraconducteurs à haute température critique. En outre, la méthode des champs fluctuants multicanaux permet de mettre en évidence la quintessence du modèle de Hubbard étendu grâce à la grande variété de types de compétitions qui émergent des différentes instabilités. La nature générale de la théorie proposée, qui permet d'incorporer une grande variété de modes collectifs, en fait un outil prometteur pour l'étude de l'interaction des fluctuations collectives dans les systèmes fermioniques fortement corrélés
Strongly correlated systems often display rich phase diagrams exhibiting different ordered phases involving spin, charge, pairing, or orbital degrees of freedom. The theoretical description of the competition between different instabilities in strongly correlated systems giving rise to this phenomenology, remains one of the holy grails of modern condensed matter theory. It poses a tremendous challenge of both conceptual and computational complexity, and thus the interplay of competing electronic fluctuations constitutes a roadblock to the understanding of the complex phase diagrams of a wide range of correlated quantum materials. This motivates the search for constructing simplified methods to study interplaying collective fluctuations.We introduce a multichannel extension of the recently developed fluctuating field approach to competing collective fluctuations in correlated electron systems. The method is based on a variational optimization of a trial action that explicitly contains the order parameters of the leading fluctuation channels. It gives direct access to the free energy of the system, facilitating the distinction between stable and metastable phases of the system.We apply our approach to the extended Hubbard model, a paradigmatic fermionic lattice model, occupying a prime place in condensed matter theory due to the potential relevance of its repulsive and attractive versions for both electronic materials and artificial systems.Utilising the technique to study the weak to intermediate coupling regime of the repulsive interaction, we find it to capture the interplay of competing charge density wave and antiferromagnetic fluctuations with qualitative agreement with more computationally expensive methods. In addition, the method allows access to excited-state properties, through the one-particle excitation spectrum, and many-body correlation effects, through the self-energy, directly on the real-frequency axis without using numerical analytic continuation techniques. The multichannel fluctuating field approach thus offers a promising route for a numerically low-cost treatment of the interplay between collective fluctuations in small to large systems.Using the introduced multichannel fluctuating field approach, we explore the phase diagram of the extended Hubbard model in both repulsive and attractive regimes, addressing the interplay of fluctuations in the antiferromagnetic, charge density wave, s-wave superconducting, and phase separation channels. Despite the fact that this model has been intensively studied for decades, our novel approach allows us to identify a novel phase that is characterised by the coexistence of collective s-wave superconducting and phase separation fluctuations. These findings resonate with previous observations of interplaying phase separation and superconducting phases in electronic systems, most importantly in high-temperature superconductors. In addition, the multichannel fluctuating field method allows to display the quintessential nature of the extended Hubbard model through the large variety of types of competitions which emerges from the interplaying instabilities. The general nature of the proposed theory, allowing to incorporate a variety of collective modes, makes it a promising tool for studying the interplay of collective fluctuations in strongly correlated fermionic systems
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Bougenaya, Yamina. "Fermion models on the lattice and in field theory." Thesis, Durham University, 1985. http://etheses.dur.ac.uk/7080/.

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The first part deals with lattice approach to field theories. The fermion doubling problems are described. This doubling can be removed if a dual lattice is introduced, as first pointed out by Stacey. His method is developed and in the process a formalism for the construction of a covariant difference lattice operator and thus of a gauge invariant action, is exhibited. It is shown how this formalism relates to the work of Wilson. Problems of gauge invariance can be traced back to the absence of the Leibnitz rule on the lattice. To circumvent this failure the usual notion of the product is replaced by a convolution. The solutions display a complementarity : the more localised the product the more extended is the approximation to the derivative and vice-versa. It is found that the form of the difference operator in the continuous limit dictates the formulation of the full two-dimensional supersymmetric algebra. The construction of the fields necessary to form the Wess-Zumino model follows from the requirement of anticommutativity of the supersymmetric charges. In the second part, the Skyrme model is reviewed and Bogomolnyi conditions are defined and discussed. It appears that while the Skyrme model has many satisfactory features, it fails to describe the interactions between nucleons correctly. These problems are brought out and the available solutions reviewed.
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Zverev, Nikolai. "Algorithmic studies of compact lattice QED with Wilson fermions." Doctoral thesis, [S.l.] : [s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=963575082.

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Khamseh, Ava. "Lattice phenomenology of heavy quarks using dynamical fermions." Thesis, University of Edinburgh, 2017. http://hdl.handle.net/1842/28855.

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The Standard Model of particle physics is believed to be only the low energy limit of a more fundamental theory. In order to determine its range of validity, a major part of theoretical and experimental efforts in physics is dedicated to precision tests of the Standard Model. Lattice QCD is a non-perturbative, first-principles approach to Quantum Field Theory. It plays an important role in flavor physics by providing calculations of non-perturbative strong interaction contributions to weak processes involving quarks. Measurements of hadronic quantities can be used to constrain the Standard Model as well as theories Beyond the Standard Model. The first part of this thesis contains theoretical developments regarding non-perturbative renormalization. A new renormalization scheme, RI/mSMOM, for fermion bilinear operators in QCD at non-vanishing quark mass is presented. In order to investigate the properties of the mSMOM scheme, an explicit one-loop computation in perturbation theory using dimensional regularization is performed. Numerically, vertex functions are generated on the lattice, with an appropriate projector, based on the RI/SMOM scheme and the renormalization factors are extracted. Quantities measured include renormalization of the axial current ZA, required to renormalize the axial current entering the computation of the decay constant and the renormalization of the bag parameter. The second part of this report focuses on flavor physics phenomenology on the lattice. It presents results of the first run of the RBC/UKQCD charm project with (2+1)-flavor Domain Wall fermions. Observables and matrix elements are measured on lattices with Iwasaki gauge action. There are two ensembles at the physical point with inverse lattice spacings 1.73 and 2.36 GeV and a third finer ensemble at 2.76 GeV as well as four other auxiliary ensembles with smaller volumes and heavier pion masses which are used to perform the continuum extrapolations. The quantities measured in the region of the charm quark mass are meson masses, decay constants, the matrix element of the OV V +AA operator, the neutral D-meson mixing parameter B and the SU(3) breaking ratio ξ.
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Plaum, Wätzold. "Numerical analysis using Generalised Pattern Search for a discrete fermionic lattice model of the vacuum." kostenfrei, 2009. http://epub.uni-regensburg.de/13587/.

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Björnson, Kristofer. "Topological band theory and Majorana fermions : With focus on self-consistent lattice models." Doctoral thesis, Uppsala universitet, Materialteori, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-305212.

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One of the most central concepts in condensed matter physics is the electronic band structure. Although band theory was established more than 80 years ago, recent developments have led to new insights that are formulated in the framework of topological band theory. In this thesis a subset of topological band theory is presented, with particular focus on topological supercon- ductors and accompanying Majorana fermions. While simple models are used to introduce basic concepts, a physically more realistic model is also studied intensely in the papers. Through self- consistent tight-binding calculations it is confirmed that Majorana fermions appear in vortex cores and at wire end points when the superconductor is in the topologically non-trivial phase. Many other properties such as the topological invariant, experimental signatures in the local density of states and spectral function, unconventional and odd-frequency pairing, the precense of spin-polarized currents and spin-polarization of the Majorana fermions, and a local π-phase shift in the order parameter at magnetic impurities are also investigated.
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Gramsch, Christian [Verfasser], and Michael [Akademischer Betreuer] Potthoff. "A Memory-Kernel-Free Approach to Time-Dependent Lattice Fermion Models / Christian Gramsch ; Betreuer: Michael Potthoff." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2018. http://d-nb.info/1153884186/34.

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Bozzato, Luca. "Two dimensional Kitaev model with long-range pairing." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/13442/.

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I traguardi sperimentali raggiunti negli ultimi decenni nell'ambito della fisica degli atomi ultrafreddi hanno reso possibile la realizzazione in laboratorio di sistemi quantistici con potenziali che decadono con la distanza tramite una legge di potenza. In questo ambito di ricerca si inserisce il modello di Kitaev bidimensionale su un reticolo quadrato che descrive un sistema di fermioni spinless. Questo sistema fisico è caratterizzato da un'Hamiltoniana avente un termine di pairing di tipo p-wave che decade con la distanza secondo una legge di potenza. Il potenziale a lungo raggio conferisce propietà peculiari, assenti per sistemi descritti da Hamiltoniane locali, come ad esempio delle funzioni di correlazione che possiedono due regimi, il primo in cui tendono a zero tramite un andamento ibrido, ovvero in modo esponenziale a corte distanze ed in modo algebrico a lunghe distanze, ed il secondo in cui tendono a zero seguendo un andamento puramente algebrico. Inoltre, se il termine di pairing è sufficientemente forte, sono possibili la violazione della legge dell'area dell'entropia di von Neumann anche per fasi non critiche. In questo lavoro di tesi abbiamo caratterizzato le fasi del modello di Kitaev bidimensionale che, essendo descritto da un'Hamiltoniana fermionica quadratica, è diagonalizzabile in maniera esatta. Lo studio delle diverse fasi del sistema è avvenuto tramite l'analisi dello spettro energetico, delle funzioni di correlazione e dello scaling dell'entropia di von Neumann. Questi strumenti di indagine sono stati ottenuti sia tramite risultati analitci sia tramite simulazioni numeriche. Le proprietà ottenute utilizzando questo approccio sono state riassunte in un diagramma di fase posto nell'ultimo capitolo di questo elaborato.
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Books on the topic "Fermionic lattice models"

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Will, Sebastian. From atom optics to quantum simulation: Interacting bosons and fermions in three-dimensional optical lattice potentials. Berlin: Springer, 2013.

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Mussardo, Giuseppe. Statistical Field Theory. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198788102.001.0001.

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This book is an introduction to statistical field theory, which is an important subject within theoretical physics and a field that has seen substantial progress in recent years. The book covers fundamental topics in great detail and includes areas like conformal field theory, quantum integrability, S-matrices, braiding groups, Bethe ansatz, renormalization groups, Majorana fermions, form factors, the truncated conformal space approach and boundary field theory. It also provides an introduction to lattice statistical models. Many topics are discussed at a fairly advanced level but via a pedagogical approach. In particular, the book presents in a clear way non-perturbative methods of quantum field theories that have become decisive tools in many different areas of statistical and condensed matter physics, and which are currently an essential foundation of the working knowledge of a modern theoretical physicist.
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Horing, Norman J. Morgenstern. Interacting Electron–Hole–Phonon System. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0011.

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Chapter 11 employs variational differential techniques and the Schwinger Action Principle to derive coupled-field Green’s function equations for a multi-component system, modeled as an interacting electron-hole-phonon system. The coupled Fermion Green’s function equations involve five interactions (electron-electron, hole-hole, electron-hole, electron-phonon, and hole-phonon). Starting with quantum Hamilton equations of motion for the various electron/hole creation/annihilation operators and their nonequilibrium average/expectation values, variational differentiation with respect to particle sources leads to a chain of coupled Green’s function equations involving differing species of Green’s functions. For example, the 1-electron Green’s function equation is coupled to the 2-electron Green’s function (as earlier), also to the 1-electron/1-hole Green’s function, and to the Green’s function for 1-electron propagation influenced by a nontrivial phonon field. Similar remarks apply to the 1-hole Green’s function equation, and all others. Higher order Green’s function equations are derived by further variational differentiation with respect to sources, yielding additional couplings. Chapter 11 also introduces the 1-phonon Green’s function, emphasizing the role of electron coupling in phonon propagation, leading to dynamic, nonlocal electron screening of the phonon spectrum and hybridization of the ion and electron plasmons, a Bohm-Staver phonon mode, and the Kohn anomaly. Furthermore, the single-electron Green’s function with only phonon coupling can be rewritten, as usual, coupled to the 2-electron Green’s function with an effective time-dependent electron-electron interaction potential mediated by the 1-phonon Green’s function, leading to the polaron as an electron propagating jointly with its induced lattice polarization. An alternative formulation of the coupled Green’s function equations for the electron-hole-phonon model is applied in the development of a generalized shielded potential approximation, analysing its inverse dielectric screening response function and associated hybridized collective modes. A brief discussion of the (theoretical) origin of the exciton-plasmon interaction follows.
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Book chapters on the topic "Fermionic lattice models"

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Bornyakov, V., A. Hoferichter, G. Schierholz, and A. Thimm. "’T Hooft Vertex in the Chiral Schwinger Model." In Lattice Fermions and Structure of the Vacuum, 173–81. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4124-6_16.

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Morel, A. "Continuum Symmetry Restoration in Lattice Models with Staggered Fermions." In NATO ASI Series, 245–56. Boston, MA: Springer US, 1987. http://dx.doi.org/10.1007/978-1-4613-1909-2_26.

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Lopez-Sandoval, R., and G. M. Pastor. "Density Functional Theory of the Lattice Fermion Model." In Physics of Low Dimensional Systems, 431–43. Boston, MA: Springer US, 2001. http://dx.doi.org/10.1007/0-306-47111-6_41.

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Bodensiek, O., R. Žitko, R. Peters, and T. Pruschke. "Heavy Fermions and Superconductivity in the Kondo-Lattice Model with Phonons." In Physical Properties of Nanosystems, 233–46. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-94-007-0044-4_19.

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Goswami, J., D. Chakrabarti, and S. Basak. "Chiral Symmetry Breaking in the Lattice Gross-Neveu Model with the Borici-Creutz Fermion." In Springer Proceedings in Physics, 93–98. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25619-1_15.

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Wall, Michael L. "Microscopic Model for Feshbach Interacting Fermions in an Optical Lattice with Arbitrary Scattering Length and Resonance Width." In Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices, 123–37. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14252-4_5.

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Cai, Xun, Zi-Xiang Li, and Hong Yao. "Deconfined Quantum Critical Point in Fermionic Models on the π-flux Square Lattice." In A Festschrift in Honor of the C N Yang Centenary, 51–58. WORLD SCIENTIFIC, 2022. http://dx.doi.org/10.1142/9789811264153_0002.

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Mussardo, Giuseppe. "Fermionic Formulation of the Ising Model." In Statistical Field Theory, 290–309. Oxford University PressOxford, 2009. http://dx.doi.org/10.1093/oso/9780199547586.003.0009.

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Abstract In this chapter we will study the continuum limit formulation of the two-dimensional Ising model, starting from the hamiltonian limit of its transfer matrix. We will first derive the quantum hamiltonian of the model and then we will study its most important properties, such as the duality transformation. This symmetry involves the order and disorder operators and we will clarify their physical interpretation. Afterwards, we will see how to diagonalize the quantum hamiltonian by means of particular fermionic fields. The operator mapping between the order/disorder operators and the fermionic fields is realized by the so-called Wigner–Jordan transformation: this brings the original hamiltonian to a quadratic form in the creation and annihilation operators of the fermions. The determination of the spectrum is then obtained by a Bogoliubov transformation, a technique extremely useful also in other contexts, such as superconductivity phenomena. In the limit in which the lattice spacing goes to zero, the Ising model becomes a theory of free Majorana fermions. They satisfy a relativistic dispersion relation and their mass is a direct measurement of the displacement of the temperature from the critical value.
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Evans, David E., and Yasuyuki Kawahigashi. "The Fermion Algebra." In Quantum Symmetries on Operator Algebras, 209–91. Oxford University PressOxford, 1998. http://dx.doi.org/10.1093/oso/9780198511755.003.0006.

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Abstract This chapter introduces the Fermion algebra as the main technical tool for studying in Chapter 7 the two dimensional Ising model as the prototype lattice model in statistical mechanics. It will also feature in Chapter 8 as a means of constructing representations of chiral algebras, particularly the Virasoro algebra, in conformal field theories which can appear in critical statistical mechanical models. Ignoring most of the structure, the Fermion algebra is just an infinite tensor product of 2 x 2 matrix algebras. Such infinite tensor products of matrix algebras, UHF algebras, are studied in Sections 6.2 and 6.3, as well as their representations on infinite tensor products of Hilbert spaces. Subtleties about completions of such infinite tensor products of Hilbert spaces lead to inequivalent representations of UHF algebras, and criteria to decide when infinite tensor automorphisms are inner or weakly inner in the trace representation.
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Dotsenko, S., and A. M. Polyakov. "Fermion Representations for the 2D and 3D Ising Models." In Conformal Field Theory and Solvable Lattice Models, 171–203. Elsevier, 1988. http://dx.doi.org/10.1016/b978-0-12-385340-0.50009-7.

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Conference papers on the topic "Fermionic lattice models"

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Banerjee, Debasish, Emilie Huffman, and Lukas Rammelmueller. "Introducing Fermionic Link Models." In The 38th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.396.0193.

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Denissenya, Mikhail. "Effects of Low vs High Fermionic Modes on Hadron Mass Generation." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0115.

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Schneider, Manuel, Johann Ostmeyer, Karl Jansen, Thomas Luu, and Carsten Urbach. "The Hubbard model with fermionic tensor networks." In The 38th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.396.0377.

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Hansen, Martin, and Claudio Pica. "Sextet Model with Wilson Fermions." In 34th annual International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.256.0213.

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Narayanan, Rajamani, and Robert Lohamayer. "Single site model of large N gauge theories coupled to adjoint fermions." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0097.

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von Smekal, Lorenz, Pavel Buividovich, Dominik Smith, and Maksim Ulybyshev. "Competing order in the fermionic Hubbard model on the hexagonal graphene lattice." In 34th annual International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.256.0244.

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Bietenholz, Wolfgang, Stanislav Shcheredin, and Jan Volkholz. "Schwinger model simulations with dynamical overlap fermions." In The XXV International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.042.0064.

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Hietanen, A., and Rajamani Narayanan. "Eguchi-Kawai model with dynamical adjoint fermions." In The XXVII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0215.

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Pollakowski, Beatrix, Nils Christian, Karl Jansen, and Keiichi Nagai. "Testing Fermion Actions: Scaling in the Schwinger Model." In XXIIIrd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0239.

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Hasegawa, Masayasu, and Adriano Di Giacomo. "Zero modes of overlap fermions, instantons and monopoles." In The 32nd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.214.0341.

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Reports on the topic "Fermionic lattice models"

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Melnikov, Kirill. The Lattice Schwinger Model: Confinement, Anomalies, Chiral Fermions and All That. Office of Scientific and Technical Information (OSTI), April 2000. http://dx.doi.org/10.2172/763762.

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