Applications Of Statistical And Field Theory Methods To Condensed Matter

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Applications of Statistical and Field Theory Methods to Condensed Matter

Author : Dionys Baeriswyl,Alan R. Bishop,J. Camelo
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468457636

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Applications of Statistical and Field Theory Methods to Condensed Matter by Dionys Baeriswyl,Alan R. Bishop,J. Camelo Pdf

There is no doubt that we have, during the last decade, moved into a "golden age" of condensed matter science. The sequence of discoveries of novel new states of matter and their rapid assimilation into experimental and theoretical research, as well as devices, has been remarkable. To name but a few: spin glasses; incommensurate, fractal, quasicrystal structures; synthetic metals; quantum well fabrication; fractional quantum Hall effect: solid state chaos; heavy fermions; and most spectacularly high-temperature superconductivity. This rapid evolution has been marked by the need to address the reality of materials in "extreme" conditions - - disordered, nonlinear systems in reduced dimensions, restricted geometries and at mesoscopic scales, often with striking competitions between several length and frequency scales, and between strong electron-phonon and electron-electron interactions. In such new territory it is not surprising that very interdisciplinary approaches are being explored and traditional boundaries between subjects and disciplines re-defined. In theory, this is evident, for instance, in attempts: (1) to advance the state of the art for elec tronic structure calculations so as to handle strongly interacting many-body systems and delicate competitions for collective ground states (spin models or many-electron Hamiltoni ans, field theory, band structure, quantum chemistry and numerical approaches); or (2) to understand pattern formation and complex (including chaotic) dynamics in extended sys tems. This demands close involvement with applied mathematics, numerical simulations and statistical mechanics techniques.

Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems

Author : Bohdan I Lev,Anatoly G Zagorodny
Publisher : World Scientific
Page : 352 pages
File Size : 46,7 Mb
Release : 2021-02-18
Category : Science
ISBN : 9789811229992

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Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems by Bohdan I Lev,Anatoly G Zagorodny Pdf

This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).

Condensed Matter Field Theory

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 50,6 Mb
Release : 2010-03-11
Category : Science
ISBN : 9780521769754

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Condensed Matter Field Theory by Alexander Altland,Ben D. Simons Pdf

This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Quantum Field Theory Approach to Condensed Matter Physics

Author : Eduardo C. Marino
Publisher : Cambridge University Press
Page : 537 pages
File Size : 41,7 Mb
Release : 2017-09-28
Category : Science
ISBN : 9781107074118

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Quantum Field Theory Approach to Condensed Matter Physics by Eduardo C. Marino Pdf

Independent electrons and static crystals -- Vibrating crystals -- Interacting electrons -- Interactions in action -- Functional formulation of quantum field theory -- Quantum fields in action -- Symmetries: explicit or secret -- Classical topological excitations -- Quantum topological excitations -- Duality, bosonization and generalized statistics -- Statistical transmutation -- Pseudo quantum electrodynamics -- Quantum field theory methods in condensed matter -- Metals, Fermi liquids, Mott and Anderson insulators -- The dynamics of polarons -- Polyacetylene -- The Kondo effect -- Quantum magnets in 1D: Fermionization, bosonization, Coulomb gases and 'all that' -- Quantum magnets in 2D: nonlinear sigma model, CP1 and 'all that' -- The spin-fermion system: a quantum field theory approach -- The spin glass -- Quantum field theory approach to superfluidity -- Quantum field theory approach to superconductivity -- The cuprate high-temperature superconductors -- The pnictides: iron based superconductors -- The quantum Hall effect -- Graphene -- Silicene and transition metal dichalcogenides -- Topological insulators -- Non-abelian statistics and quantum computation

Statistical Field Theories

Author : Andrea Cappelli,Giuseppe Mussardo
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401005142

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Statistical Field Theories by Andrea Cappelli,Giuseppe Mussardo Pdf

Recent developments in theoretical physics include new instances of the unification of quite different phenomena. The theoretical community is challenged by the growing interactions between high-energy physics, statistical physics, and condensed matter physics. The common language, though, is exact solutions of two-dimensional and conformable field theories. This volume is a faithful representation of this interdisciplinary domain. Conformable and integrable field theories have been active research topics for several decades. The main recent developments concern the boundary effects and applications to disordered systems. The number of applications of the exact methods to condensed-matter problems has been growing over the years. Nowadays it is widely recognized that strongly interacting systems in low dimensions can be successfully described by integrable and conformable theories. This volume is an indispensable aid to those seeking to find their way in this domain.

String Theory Methods for Condensed Matter Physics

Author : Horatiu Nastase
Publisher : Cambridge University Press
Page : 631 pages
File Size : 43,7 Mb
Release : 2017-09-21
Category : Science
ISBN : 9781107180383

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String Theory Methods for Condensed Matter Physics by Horatiu Nastase Pdf

The discovery of a duality between Anti-de Sitter spaces (AdS) and Conformal Field Theories (CFT) has led to major advances in our understanding of quantum field theory and quantum gravity. String theory methods and AdS/CFT correspondence maps provide new ways to think about difficult condensed matter problems. String theory methods based on the AdS/CFT correspondence allow us to transform problems so they have weak interactions and can be solved more easily. They can also help map problems to different descriptions, for instance mapping the description of a fluid using the Navier-Stokes equations to the description of an event horizon of a black hole using Einstein's equations. This textbook covers the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics. Bridging the gap between string theory and condensed matter, this is a valuable textbook for students and researchers in both fields.

Field Theories in Condensed Matter Physics

Author : Sumathi Rao
Publisher : CRC Press
Page : 432 pages
File Size : 40,6 Mb
Release : 2019-04-24
Category : Science
ISBN : 9781482289541

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Field Theories in Condensed Matter Physics by Sumathi Rao Pdf

The application of field theoretic techniques to problems in condensed matter physics has generated an array of concepts and mathematical techniques to attack a range of problems such as the theory of quantum phase transitions, the quantum Hall effect, and quantum wires. While concepts such as the renormalization group, topology, and bosonization h

Quantum Field Theory and Condensed Matter

Author : Ramamurti Shankar
Publisher : Unknown
Page : 537 pages
File Size : 49,5 Mb
Release : 2017
Category : Condensed matter
ISBN : 9781108363464

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Quantum Field Theory and Condensed Matter by Ramamurti Shankar Pdf

Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

Statistical Physics

Author : Hung T Diep
Publisher : World Scientific Publishing Company
Page : 648 pages
File Size : 45,7 Mb
Release : 2015-06-29
Category : Science
ISBN : 9789814696272

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Statistical Physics by Hung T Diep Pdf

The aim of this book is to provide the fundamentals of statistical physics and its application to condensed matter. The combination of statistical mechanics and quantum mechanics has provided an understanding of properties of matter leading to spectacular technological innovations and discoveries in condensed matter which have radically changed our daily life. The book gives the steps to follow to understand fundamental theories and to apply these to real materials.

Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems

Author : Bohdan Lev,A. Zagorodny
Publisher : Unknown
Page : 128 pages
File Size : 41,9 Mb
Release : 2021
Category : Field theory (Physics)
ISBN : 9811229988

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Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems by Bohdan Lev,A. Zagorodny Pdf

"This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states. The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications. To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.)"--

Quantum Field Theory in Condensed Matter Physics

Author : Alexei M. Tsvelik
Publisher : Cambridge University Press
Page : 348 pages
File Size : 53,5 Mb
Release : 1996-08-15
Category : Science
ISBN : 0521589894

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Quantum Field Theory in Condensed Matter Physics by Alexei M. Tsvelik Pdf

This book provides a self-contained introduction to the basic tools and concepts of quantum field theory, and goes on to demonstrate their use in a range of topics in statistical mechanics and condensed matter physics. The first part of the book outlines the key methods of quantum field theory, including path integrals, Feynman diagrams, and renormalization. These are then applied to such topics as electrodynamics in metals, relativistic fermions and the Aharonov-Bohm effect. The rest of the book is dedicated to the use of non-perturbative techniques, and deals with strongly fluctuating spin systems, conformal symmetry and Kondo chains, as well as a number of related problems. The book will be useful to graduate students and established researchers in condensed matter physics and statistical mechanics, and to anyone with an interest in the modern techniques of quantum field theory.

Condensed Matter Field Theory

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 49,7 Mb
Release : 2010-03-11
Category : Science
ISBN : 9781139485135

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Condensed Matter Field Theory by Alexander Altland,Ben D. Simons Pdf

Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quantum field theory in many-particle physics, emphasizing the applicability of the formalism to concrete problems. This second edition contains two new chapters developing path integral approaches to classical and quantum nonequilibrium phenomena. Other chapters cover a range of topics, from the introduction of many-body techniques and functional integration, to renormalization group methods, the theory of response functions, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion focuses on practical experimental applications drawn largely from condensed matter physics and neighboring fields. Extended and challenging problems with fully worked solutions provide a bridge between formal manipulations and research-oriented thinking. Aimed at elevating graduate students to a level where they can engage in independent research, this book complements graduate level courses on many-particle theory.

Path Integrals in Physics

Author : M Chaichian,A Demichev
Publisher : CRC Press
Page : 359 pages
File Size : 48,6 Mb
Release : 2018-10-08
Category : Science
ISBN : 9781482268911

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Path Integrals in Physics by M Chaichian,A Demichev Pdf

The path integral approach has proved extremely useful for the understanding of the most complex problems in quantum field theory, cosmology, and condensed matter physics. Path Integrals in Physics: Volume II, Quantum Field Theory, Statistical Physics and other Modern Applications covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. The book deals with systems that have an infinite number of degrees of freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. Each chapter is self-contained and can be considered as an independent textbook. It provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.

Quantum Field Theory

Author : Eduardo Fradkin
Publisher : Princeton University Press
Page : 754 pages
File Size : 43,9 Mb
Release : 2021-03-23
Category : Science
ISBN : 9780691149080

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Quantum Field Theory by Eduardo Fradkin Pdf

"Quantum field theory is the mathematical and conceptual framework that describes the physics of the very small, including subatomic particles and quasiparticles. It is used to address a range of problems across subfields, from high-energy physics and gravitation to statistical physics and condensed matter physics. Despite the breadth of its applications, however, the teaching of quantum field theory has historically been strongly oriented toward high-energy physics students, while others-particularly in condensed matter and statistical physics-are typically taught in a separate course, or take an alternate sequence in many-body and statistical physics. Author Eduardo Fradkin strongly believes that this separation is both artificial and detrimental to all groups' understanding of quantum field theory. This textbook, developed from a graduate course Fradkin has taught for decades at the University of Illinois, offers a new, "multicultural" approach to the subject that seeks to remedy this fragmentation. It covers both basic techniques and topics at the frontiers of current research, and integrates modern concepts and examples from high-energy, statistical, and condensed-matter physics alike. Extensive problem sets further illustrate applications across a range of subfields. The book will be suitable for students across physical subdisciplines who have mastered graduate-level quantum mechanics, and will be a useful reference for researchers"--

Condensed Matter Field Theory

Author : Alexander Altland,Ben Simons
Publisher : Cambridge University Press
Page : 825 pages
File Size : 45,7 Mb
Release : 2023-09-30
Category : Science
ISBN : 9781108494601

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Condensed Matter Field Theory by Alexander Altland,Ben Simons Pdf

The text introduces methods of quantum field theory in condensed matter physics from basic concepts to modern developments and applications.