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Author : Michael G. Cottam,Zahra Haghshenasfard
Publisher : Cambridge University Press
Page : 289 pages
File Size : 53,5 Mb
Release : 2020-07-30
Category : Science
ISBN : 9781108488242
For non-specialist students and researchers, this is a broad and concise introduction to the many-body theory of condensed-matter systems.
Author : Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg
Publisher : Oxford University Press
Page : 458 pages
File Size : 53,9 Mb
Release : 2004-09-02
Category : Science
ISBN : 9780198566335
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.
Author : David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 43,5 Mb
Release : 2006-05-09
Category : Science
ISBN : 9780387217178
Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.
Author : Xiao-Gang Wen
Publisher : OUP Oxford
Page : 520 pages
File Size : 47,7 Mb
Release : 2004-06-04
Category : Science
ISBN : 9780191523960
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.
Author : Daniel C. Cabra,Andreas Honecker,Pierre Pujol
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 42,8 Mb
Release : 2012-01-05
Category : Technology & Engineering
ISBN : 9783642104480
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.
Author : Piers Coleman
Publisher : Cambridge University Press
Page : 815 pages
File Size : 47,6 Mb
Release : 2015-11-26
Category : Science
ISBN : 9780521864886
This book explains the tools and concepts needed for a research-level understanding of the subject, for graduate students in condensed matter physics.
Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 41,7 Mb
Release : 2010-03-11
Category : Science
ISBN : 9780521769754
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.
Author : Michael El-Batanouny
Publisher : Cambridge University Press
Page : 839 pages
File Size : 43,6 Mb
Release : 2020-03-26
Category : Science
ISBN : 9781108480840
Based on an established course, this comprehensive textbook on advanced quantum condensed matter physics covers one-body, many-body and topological perspectives. Discussing modern topics and containing end-of-chapter exercises throughout, it is ideal for graduate students studying advanced condensed matter physics.
Author : Steven M. Girvin,Kun Yang
Publisher : Cambridge University Press
Page : 720 pages
File Size : 51,9 Mb
Release : 2019-02-28
Category : Science
ISBN : 9781107137394
Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.
Author : Gianluca Stefanucci,Robert van Leeuwen
Publisher : Cambridge University Press
Page : 128 pages
File Size : 55,5 Mb
Release : 2013-03-07
Category : Science
ISBN : 9781107354579
The Green's function method is one of the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. This book provides a unique, self-contained introduction to nonequilibrium many-body theory. Starting with basic quantum mechanics, the authors introduce the equilibrium and nonequilibrium Green's function formalisms within a unified framework called the contour formalism. The physical content of the contour Green's functions and the diagrammatic expansions are explained with a focus on the time-dependent aspect. Every result is derived step-by-step, critically discussed and then applied to different physical systems, ranging from molecules and nanostructures to metals and insulators. With an abundance of illustrative examples, this accessible book is ideal for graduate students and researchers who are interested in excited state properties of matter and nonequilibrium physics.
Author : Willem H Dickhoff,Dimitri Van Neck
Publisher : World Scientific Publishing Company
Page : 852 pages
File Size : 52,8 Mb
Release : 2008-05-02
Category : Science
ISBN : 9789813101319
This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory. The comparison with data is incorporated from the start, making the abstract concept of propagators vivid and accessible. Results of numerical calculations using propagators or Green's functions are also presented. The material has been thoroughly tested in the classroom and the introductory chapters provide a seamless connection with a one-year graduate course in quantum mechanics. While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, this book emphasizes finite systems as well and should be of considerable interest to researchers in nuclear, atomic, and molecular physics. A unified treatment of many different many-body systems is presented using the approach of self-consistent Green's functions. The second edition contains an extensive presentation of finite temperature propagators and covers the technique to extract the self-energy from experimental data as developed in the dispersive optical model. The coverage proceeds systematically from elementary concepts, such as second quantization and mean-field properties, to a more advanced but self-contained presentation of the physics of atoms, molecules, nuclei, nuclear and neutron matter, electron gas, quantum liquids, atomic Bose–Einstein and fermion condensates, and pairing correlations in finite and infinite systems, including finite temperature.
Author : Hal Tasaki
Publisher : Springer Nature
Page : 534 pages
File Size : 45,6 Mb
Release : 2020-05-07
Category : Technology & Engineering
ISBN : 9783030412654
This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.
Author : Alexandre Zagoskin
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461205951
Intended for graduates in physics and related fields, this is a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory, and the Matsubara, Keldysh, and Nambu-Gorov formalisms. The aim is not to be exhaustive, but to present just enough detail to enable students to follow the current research literature or to apply the techniques to new problems. Many of the examples are drawn from mesoscopic physics, which deals with systems small enough that quantum coherence is maintained throughout the volume, and which therefore provides an ideal testing ground for many-body theories. '
Author : Mucio Continentino
Publisher : Cambridge University Press
Page : 249 pages
File Size : 49,5 Mb
Release : 2017-04-17
Category : Science
ISBN : 9781107150256
Focusing on experimental results, this updated edition approaches the problem of quantum phase transitions from a new and unifying perspective.
Author : Marco Polini,Mario Tosi
Publisher : Edizioni della Normale
Page : 0 pages
File Size : 41,7 Mb
Release : 2006-10-01
Category : Science
ISBN : 8876421920
This volume collects the lecture notes of an introductory course on the theory of many-body systems, held at the Scuola Normale Superiore di Pisa. It is mainly addressed to fourth and fifth-year undergraduates and to first-year graduates in physics and chemistry. The book is also suitable for researchers in the field wanting to gain a general introductory overview on its modern focal points. Starting from a set of notes first prepared in 1994, which were mainly focused on conduction electrons in metals and semiconductors, these lecture notes are now being reprinted with some major changes and additions in order to provide the reader with an overview of recent developments in the understanding of low-dimensional electron fluids and of confined quantum gases made from bosonic and fermionic atoms and molecules. The book is divided into seven chapters and includes 18 appendices on specialized topics. The introductory chapter illustrates some of the longstanding problems in many-body physics. Chapters 2, 3 and 4 are mainly devoted to topics concerning electron fluids. A formal presentation of the theory of Green's functions and linear response functions for fermions in chapter 2 is followed by a chapter on electron liquids in the normal state and by a further chapter on the magnetism of conduction electrons and strongly correlated electron fluids. Chapter 5 turns to the formal theory of Green's functions and linear response functions for bosons. And finally, Chapters 6 and 7 are on trapped boson gases and on confined fermion gases and gaseous boson-fermion mixtures.
