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Modern Theories of Many-Particle Systems in Condensed Matter Physics

Author: Daniel C. Cabra

Publisher: Springer Science & Business Media

Published: 2012-01-05

Total Pages: 380

ISBN-13: 3642104487

Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place for both experimental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed matter systems differs quite considerably from standard textbook presentations. The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. As both graduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field alike.

Quantum Many-particle Systems

Author: John W. Negele

Publisher: CRC Press

Published: 2018-03-05

Total Pages: 474

ISBN-13: 0429966474

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This book explains the fundamental concepts and theoretical techniques used to understand the properties of quantum systems having large numbers of degrees of freedom. A number of complimentary approaches are developed, including perturbation theory; nonperturbative approximations based on functional integrals; general arguments based on order parameters, symmetry, and Fermi liquid theory; and stochastic methods.

Many-Particle Theory,

Author: Eberhard K. U. Gross

Publisher: CRC Press

Published: 1991-11

Total Pages: 442

ISBN-13:

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The quantum theory of many-particle systems has applications in various branches of physics including condensed matter, atomic, molecular, nuclear and high-energy. An understanding of this theory is therefore important to most students of physics and Many-Particle Theory is an excellent introduction to the subject. Many-Particle Theory presents a detailed and logical account of the theory and techniques used. Basic subjects such as Green's functions and Feynman diagrams are discussed in detail, and many examples and applications are given, such as the Hartee-Fock approximation, superconductivity and the Kondo problem. Due to the detailed derivations and the fact that only a grasp of basic quantum mechanics is assumed, the book is an ideal textbook for graduate students and teachers of physics. The comprehensive bibliography contains many recent books and articles for further studies. Many-Particle Theory is a translation of the second German edition, which is an expanded version of the popular first edition. All three authors, E K U Gross, E Runge and O Heinonen, are well respected researchers in the field.

Many-Body Quantum Theory in Condensed Matter Physics

Author: Henrik Bruus

Publisher: Oxford University Press

Published: 2004-09-02

Total Pages: 458

ISBN-13: 0198566336

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The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Modern Condensed Matter Physics

Author: Steven M. Girvin

Publisher: Cambridge University Press

Published: 2019-02-28

Total Pages: 720

ISBN-13: 110713739X

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Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.

Condensed Matter Field Theory

Author: Alexander Altland

Publisher: Cambridge University Press

Published: 2010-03-11

Total Pages: 785

ISBN-13: 0521769752

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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 Theory of Many-Particle Systems

Author: Alexander L. Fetter

Publisher: Courier Corporation

Published: 2012-03-08

Total Pages: 640

ISBN-13: 048613475X

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Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 1971 edition.

Quantum Field Theory of Many-Body Systems

Author: Xiao-Gang Wen

Publisher: OUP Oxford

Published: 2004-06-04

Total Pages: 520

ISBN-13: 0191523968

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For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Field Theories in Condensed Matter Physics

Author: Sumathi Rao

Publisher: CRC Press

Published: 2002-05-30

Total Pages: 438

ISBN-13: 9780750308762

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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 have become necessary tools for the condensed matter physicist, enough open problems and interesting applications remain to drive much activity in this area in the coming years. Field Theories in Condensed Matter Physics presents a comprehensive survey of the concepts, techniques, and applications of the field. Written by experts and carefully edited, the book provides the necessary background for graduate students entering the area of modern condensed matter physics. It also supplies field theorists with a valuable introduction to the areas in condensed matter physics where field theoretic concepts can be fruitfully applied.

Condensed Matter Theories

Author: Feodor Kusmartsev

Publisher: World Scientific

Published: 2009-12-01

Total Pages: 645

ISBN-13: 9814289140

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This unique volume presents the scientific achievements of outstanding scientists from different countries working in diverse areas of Condensed Matter Physics. Drawn from the 32nd International Workshop on Condensed Matter Theories held in Loughborough in August 2008, these 46 papers, while centered on the concepts and techniques of theoretical condensed matter physics, also address broad issues of common concern for all physicists. It is particularly relevant to theorists who apply advanced many-particle methods in other areas of physics. The primary topics covered in the paper contributions include: statistical mechanics, nonlinear dynamics, quantum Fermi and Bose liquids, boson condensates, strongly correlated electron systems, superconductivity and phase transitions. Among the specific questions addressed and discussed are modern theories of graphene, Quantum Hall Effect, models of social dynamics, which are based on the example of Obama-McCain election, extraordinary magnetoresistance, supercooled atomic gases, transitions between various magnetic states in different systems made from magnetic nanoparticles, order-disorder-order phase transitions in spin frustrated systems, embolic stroke and semifluxon dynamics in extended Josephson junctions. The book provides the latest updated information on modern Condensed Matter Theories and the methods used. The many recent developments in the field such as the discovery of graphene or of new phenomena in supercooled gases or of an extraordinary magnetoresistance augur well for this timely publication. The main value of the book lies in the diversity of topics being covered comprehensively, which puts the book in a primary position in the modern market.