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Author : Patrik Fazekas
Publisher : World Scientific
Page : 794 pages
File Size : 40,6 Mb
Release : 1999
Category : Science
ISBN : 9789810224745
Readership: Graduate students and researchers in condensed matter physics.
Author : Assa Auerbach
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461208693
In the excitement and rapid pace of developments, writing pedagogical texts has low priority for most researchers. However, in transforming my lecture l notes into this book, I found a personal benefit: the organization of what I understand in a (hopefully simple) logical sequence. Very little in this text is my original contribution. Most of the knowledge was collected from the research literature. Some was acquired by conversations with colleagues; a kind of physics oral tradition passed between disciples of a similar faith. For many years, diagramatic perturbation theory has been the major theoretical tool for treating interactions in metals, semiconductors, itiner ant magnets, and superconductors. It is in essence a weak coupling expan sion about free quasiparticles. Many experimental discoveries during the last decade, including heavy fermions, fractional quantum Hall effect, high temperature superconductivity, and quantum spin chains, are not readily accessible from the weak coupling point of view. Therefore, recent years have seen vigorous development of alternative, nonperturbative tools for handling strong electron-electron interactions. I concentrate on two basic paradigms of strongly interacting (or con strained) quantum systems: the Hubbard model and the Heisenberg model. These models are vehicles for fundamental concepts, such as effective Ha miltonians, variational ground states, spontaneous symmetry breaking, and quantum disorder. In addition, they are used as test grounds for various nonperturbative approximation schemes that have found applications in diverse areas of theoretical physics.
Author : Patrik Fazekas
Publisher : World Scientific
Page : 794 pages
File Size : 41,7 Mb
Release : 1999
Category : Science
ISBN : 9789812386274
This volume attempts to fill the gap between standard introductions to solid state physics, and textbooks which give a sophisticated treatment of strongly correlated systems. Starting with the basics of the microscopic theory of magnetism, one proceeds with relatively elementary arguments to such topics of current interest as the Mott transition, heavy fermions, and quantum magnetism. The basic approach is that magnetism is one of the manifestations of electronOCoelectron interaction, and its treatment should be part of a general discussion of electron correlation effects. Though the text is primarily theoretical, a large number of illustrative examples are brought from the experimental literature. There are many problems, with detailed solutions. The book is based on the material of lectures given at the Diploma Course of the International Center for Theoretical Physics, Trieste, and later at the Technical University and the R. EAtvAs University of Budapest, Hungary. Sample Chapter(s). Chapter 1.1: Magnetism and Other Effects of Electron-Electron Interaction (483 KB). Chapter 1.2: Sources of Magnetic Fields (311 KB). Chapter 1.3: Getting Acquainted: Magnetite (692 KB). Chapter 1.4: Variety of Correlated Systems: An Outline of the Course (307 KB). Contents: Atoms, Ions, and Molecules; Crystal Field Theory; Mott Transition and Hubbard Model; Mott Insulators; Heinsenberg Magnets; Itinerant Electron Magnetism; Ferromagnetism in Hubbard Models; The Gutzwiller Variational Method; The Correlated Metallic State; Mixed Valence and Heavy Fermions; Quantum Hall Effect; Hydrogen Atom; Single-Spin-Flip Ansatz; Gutzwiller Approximation; SchriefferOCoWolff Transformation. Readership: Graduate students and researchers in condensed matter physics."
Author : Peter Fulde
Publisher : World Scientific
Page : 552 pages
File Size : 45,5 Mb
Release : 2012-08-08
Category : Science
ISBN : 9789814397223
An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap. It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades. Contents:IntroductionIndependent ElectronsHomogeneous Electron GasDensity Functional TheoryWavefunction-Based MethodsCorrelated Ground-State WavefunctionsQuasiparticle ExcitationsIncoherent ExcitationsCoherent-Potential ApproximationsStrongly Correlated ElectronsTransition MetalsTransition-Metal OxidesHeavy QuasiparticlesExcitations with Fractional ChargesSuperconductivity Readership: Graduate students and researchers in condensed matter physics. Keywords:Electron Correlations;Many-body Theory;Quasi-Particles;Fractional Charges;Superconductivity;Many-Body WavefunctionsKey Features:Besides approaches based on Density Functional Theory, the importance of many-body wavefunction and projection methods is emphasizedConsiderable space is devoted to systems with strong electron correlations evident in high-Tc superconducting cupratesTransition metals and their oxides are discussed as well as compounds with heavy quasiparticlesDifferent competing methods for describing correlation effects are presentedAt various places a connection to relevant experiments is madeReviews: “Peter Fulde's book is well suited as an introduction to the general field of correlated electron systems… For this purpose some elementary chapters are included. Finally, the book is hard work but also fun to read because of its personal style.” Prof. Dr. Joachim Keller Institut für Theoretische Physik Universität Regensburg “Written with great pedagogical skill, it will be of interest to both experts in the field and graduate students. The book presents a consistent description of a new branch of solid state physics — the theory of strongly correlated systems which cannot be treated by conventional approaches as the density functional theory being successful for many years in describing band structure of solids. In this respect it can be used as a textbook for a university course on this new and fascinating branch of solid state physics.” Professor Nikolay Pladika Joint Institute for Nuclear Research “Peter Fulde provides an excellent introduction to this field. This book provides a very careful treatment of an extraordinarily wide range of topics, and is particularly strong on transition-metal oxides and heavy fermion systems. This carefully written book can be recommended to a very wide readership.” Contemporary Physics
Author : Eva Pavarini,Erik Koch,Ulrich Schollwöck
Publisher : Forschungszentrum Jülich
Page : 562 pages
File Size : 53,8 Mb
Release : 2013
Category : Electronic
ISBN : 9783893368846
Author : Ulrich Schollwöck,Johannes Richter,Damian J.J. Farnell,Raymond F. Bishop
Publisher : Springer
Page : 488 pages
File Size : 44,5 Mb
Release : 2008-05-14
Category : Science
ISBN : 9783540400660
Closing a gap in the literature, this volume is intended both as an introductory text at postgraduate level and as a modern, comprehensive reference for researchers in the field. Provides a full working description of the main fundamental tools in the theorists toolbox which have proven themselves on the field of quantum magnetism in recent years. Concludes by focusing on the most important cuurent materials form an experimental viewpoint, thus linking back to the initial theoretical concepts.
Author : K. Baberschke,M. Donath,W. Nolting
Publisher : Springer
Page : 394 pages
File Size : 43,6 Mb
Release : 2008-01-11
Category : Science
ISBN : 9783540446101
The fascinating phenomenon ferromagnetism is far from being fully understood, although it surely belongs to the oldest problems of solid state physics. For any investigation it appears recommendable to distinguish between materials whose spontaneous magnetization stems from localized electrons of a partially ?lled atomic shell and those in which it is due to itinerant electrons of a partially ?lled conduction band. In the latter case one speaks of band-ferromagnetism, prototypes of which are the classical ferromagnets Fe, Co, and Ni. The present book is a status report on the remarkable progress that has recently been made towards a microscopic understanding of band-ferromagnetism as an electron c- relation e?ect. The authors of the various chapters of this book “Band-Ferromagnetism: Ground-State and Finite-Temperature Phenomena” participated as selected - perts in the 242nd WE-Heraeus-Seminar (4-6 October 2000) held under almost the same title in Wandlitz near Berlin (Germany). It was the second seminar of this type in Wandlitz. (The ?rst in 1998 dealt with the complementary topic of the physics of local-moment ferromagnets such as Gd). Twenty-six invited spe- ers from ten di?erent countries together with ?fty-?ve further participants, who presented contributions in form of posters, spent three days together discussing in an enthusiastic and fertile manner the hot topics of band-ferromagnetism.
Author : Claudine Lacroix,Philippe Mendels,Frédéric Mila
Publisher : Springer Science & Business Media
Page : 682 pages
File Size : 51,6 Mb
Release : 2011-01-12
Category : Science
ISBN : 9783642105890
The field of highly frustrated magnetism has developed considerably and expanded over the last 15 years. Issuing from canonical geometric frustration of interactions, it now extends over other aspects with many degrees of freedom such as magneto-elastic couplings, orbital degrees of freedom, dilution effects, and electron doping. Its is thus shown here that the concept of frustration impacts on many other fields in physics than magnetism. This book represents a state-of-the-art review aimed at a broad audience with tutorial chapters and more topical ones, encompassing solid-state chemistry, experimental and theoretical physics.
Author : Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg
Publisher : Oxford University Press
Page : 458 pages
File Size : 43,7 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 : Charles Paul Enz
Publisher : World Scientific
Page : 448 pages
File Size : 46,9 Mb
Release : 1992
Category : Science
ISBN : 9971503360
The main aim of this book is to give a self-contained and representative cross section through present-day research in solid-state physics. This covers metallic and mesoscopic transport, localization by disorder and superconductivity, including questions related to high-temperature superconductors and to heavy fermion systems. An important part of the book is devoted to itinerant-electron magnetism, discussing paramagnons, strong correlation, magnetization fluctuations and spin density waves. All the formal tools used in these chapters are developed in the first part of the book which contains a thorough discussion of second quantization and of perturbation theory for an arbitrary complex time path and also describes the functional approach to Feynman diagrams including general ward identities. Each chapter contains an extensive list of the relevant literature and a series of problems with detailed solutions which complement the main text. The book is meant both as a course and a research tool.
Author : Eva Pavarini,Erik Koch,Frithjof Anders,Mark Jarrell
Publisher : Forschungszentrum Jülich
Page : 450 pages
File Size : 55,6 Mb
Release : 2012
Category : Electronic
ISBN : 3893367969
Author : Stephen Blundell
Publisher : OUP Oxford
Page : 272 pages
File Size : 50,7 Mb
Release : 2001-10-05
Category : Science
ISBN : 9780191586644
An understanding of the quantum mechanical nature of magnetism has led to the development of new magnetic materials which are used as permanent magnets, sensors, and information storage. Behind these practical applications lie a range of fundamental ideas, including symmetry breaking, order parameters, excitations, frustration, and reduced dimensionality. This superb new textbook presents a logical account of these ideas, staring from basic concepts in electromagnetsim and quantum mechanics. It outlines the origin of magnetic moments in atoms and how these moments can be affected by their local environment inside a crystal. The different types of interactions which can be present between magnetic moments are described. The final chapters of the book are devoted to the magnetic properties of metals, and to the complex behaviour which can occur when competing magnetic interactions are present and/or the system has a reduced dimensionality. Throughout the text, the theorectical principles are applied to real systems. There is substantial discussion of experimental techniques and current reserach topics. The book is copiously illustrated and contains detailed appendices which cover the fundamental principles.
Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 48,6 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 : Lisa Tauxe
Publisher : Univ of California Press
Page : 505 pages
File Size : 45,5 Mb
Release : 2010-03-19
Category : Science
ISBN : 9780520260313
"This book by Lisa Tauxe and others is a marvelous tool for education and research in Paleomagnetism. Many students in the U.S. and around the world will welcome this publication, which was previously only available via the Internet. Professor Tauxe has performed a service for teaching and research that is utterly unique."—Neil D. Opdyke, University of Florida
Author : Yoshio Kuramoto
Publisher : Springer
Page : 261 pages
File Size : 41,5 Mb
Release : 2020-02-05
Category : Technology & Engineering
ISBN : 4431553924
This book offers a compact tutorial on basic concepts and tools in quantum many-body physics, and focuses on the correlation effects produced by mutual interactions. The content is divided into three parts, the first of which introduces readers to perturbation theory. It begins with the simplest examples—hydrogen and oxygen molecules—based on their effective Hamiltonians, and looks into basic properties of electrons in solids from the perspective of localized and itinerant limits. Readers will also learn about basic theoretical methods such as the linear response theory and Green functions. The second part focuses on mean-field theory for itinerant electrons, e.g. the Fermi liquid theory and superconductivity. Coulomb repulsion among electrons is addressed in the context of high-Tc superconductivity in cuprates and iron pnictides. A recent discovery concerning hydride superconductors is also briefly reviewed. In turn, the third part highlights quantum fluctuation effects beyond the mean-field picture. Discussing the dramatic renormalization effect in the Kondo physics, it provides a clear understanding of nonperturbative interaction effects. Further it introduces readers to fractionally charged quasi-particles in one and two dimensions. The last chapter addresses the dynamical mean field theory (DMFT). The book is based on the author’s long years of experience as a lecturer and researcher. It also includes reviews of recent focus topics in condensed matter physics, enabling readers to not only grasp conventional condensed matter theories but also to catch up on the latest developments in the field.