Correlated Electrons in Quantum Matter

Author: Peter Fulde
Publisher: World Scientific
ISBN: 9814390917
Format: PDF
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"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."--P. [4] of cover.

Field Theories for Low Dimensional Condensed Matter Systems

Author: Guiseppe Morandi
Publisher: Springer Science & Business Media
ISBN: 3662042738
Format: PDF, Kindle
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This book is especially addressed to young researchers in theoretical physics with a basic background in Field Theory and Condensed Matter Physics. The topics were chosen so as to offer the largest possible overlap between the two expertises, selecting a few key problems in Condensed Matter Theory which have been recently revisited within a field-theoretic approach. The presentation of the material is aimed not only at providing the reader with an overview of this exciting frontier area of modern theoretical physics, but also at elucidating most of the tools needed for a technical comprehen sion of the many papers appearing in current issues of physics journals and, hopefully, to enable the reader to tackle research problems in this area of physics. This makes the material a live creature: while not pretending it to be exhaustive, it is tutorial enough to be useful to young researchers as a starting point in anyone of the topics covered in the book.

Lecture Notes on Electron Correlation and Magnetism

Author: Patrik Fazekas
Publisher: World Scientific
ISBN: 9812386270
Format: PDF, Docs
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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."

Strongly Correlated Electrons in Two Dimensions

Author: Sergey Kravchenko
Publisher: CRC Press
ISBN: 9814745383
Format: PDF, Docs
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The properties of strongly correlated electrons confined in two dimensions are a forefront area of modern condensed matter physics. In the past two or three decades, strongly correlated electron systems have garnered a great deal of scientific interest due to their unique and often unpredictable behavior. Two of many examples are the metallic state and the metal–insulator transition discovered in 2D semiconductors: phenomena that cannot occur in noninteracting systems. Tremendous efforts have been made, in both theory and experiment, to create an adequate understanding of the situation; however, a consensus has still not been reached. Strongly Correlated Electrons in Two Dimensions compiles and details cutting-edge research in experimental and theoretical physics of strongly correlated electron systems by leading scientists in the field. The book covers recent theoretical work exploring the quantum criticality of Mott and Wigner–Mott transitions, experiments on the metal–insulator transition and related phenomena in clean and dilute systems, the effect of spin and isospin degrees of freedom on low-temperature transport in two dimensions, electron transport near the 2D Mott transition, experimentally observed temperature and magnetic field dependencies of resistivity in silicon-based systems with different levels of disorder, and microscopic theory of the interacting electrons in two dimensions. Edited by Sergey Kravchenko, a prominent experimentalist, this book will appeal to advanced graduate-level students and researchers specializing in condensed matter physics, nanophysics, and low-temperature physics, especially those involved in the science of strong correlations, 2D semiconductors, and conductor–insulator transitions.

Quantum Field Theory in Strongly Correlated Electronic Systems

Author: Naoto Nagaosa
Publisher: Springer Science & Business Media
ISBN: 9783540659815
Format: PDF, ePub, Mobi
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In this book the author extends the concepts introduced in his Quantum Field Theory in Condensed Matter Physics to situations in which the strong electronic correlations are crucial for the understanding of the observed phenomena. Starting from a model field theory to illustrate the basic ideas, more complex systems are analyzed in turn. A special chapter is devoted to the description of antiferromagnets, doped Mott insulators, and quantum Hall liquids from the point of view of gauge theory.

Quantum Physics of Light and Matter

Author: Luca Salasnich
Publisher: Springer
ISBN: 3319529986
Format: PDF, ePub
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This compact but exhaustive textbook, now in its significantly revised and expanded second edition, provides an essential introduction to the field quantization of light and matter with applications to atomic physics and strongly correlated systems. Following an initial review of the origins of special relativity and quantum mechanics, individual chapters are devoted to the second quantization of the electromagnetic field and the consequences of light field quantization for the description of electromagnetic transitions. The spin of the electron is then analyzed, with particular attention to its derivation from the Dirac equation. Subsequent topics include the effects of external electric and magnetic fields on the atomic spectra and the properties of systems composed of many interacting identical particles. The book also provides a detailed explanation of the second quantization of the non-relativistic matter field, i.e., the Schrödinger field, which offers a powerful tool for the investigation of many-body problems, and of atomic quantum optics and entanglement. Finally, two new chapters introduce the finite-temperature functional integration of bosonic and fermionic fields for the study of macroscopic quantum phenomena: superfluidity and superconductivity. Several solved problems are included at the end of each chapter, helping readers put into practice all that they have learned.

Quantum Monte Carlo Methods in Condensed Matter Physics

Author: M Suzuki
Publisher: World Scientific
ISBN: 9814602337
Format: PDF, ePub
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This book reviews recent developments of quantum Monte Carlo methods and some remarkable applications to interacting quantum spin systems and strongly correlated electron systems. It contains twenty-two papers by thirty authors. Some of the features are as follows. The first paper gives the foundations of the standard quantum Monte Carlo method, including some recent results on higher-order decompositions of exponential operators and ordered exponentials. The second paper presents a general review of quantum Monte Carlo methods used in the present book. One of the most challenging problems in the field of quantum Monte Carlo techniques, the negative-sign problem, is also discussed and new methods proposed to partially overcome it. In addition, low-dimensional quantum spin systems are studied. Some interesting applications of quantum Monte Carlo methods to fermion systems are also presented to investigate the role of strong correlations and fluctuations of electrons and to clarify the mechanism of high-Tc superconductivity. Not only thermal properties but also quantum-mechanical ground-state properties have been studied by the projection technique using auxiliary fields. Further, the Haldane gap is confirmed by numerical calculations. Active researchers in the forefront of condensed matter physics as well as young graduate students who want to start learning the quantum Monte Carlo methods will find this book useful. Contents:The Quantum Transfer Matrix and Its Application to Quantum Spin Chains (K Kubo)Transfer Matrices in Quantum Many-Body Systems (T Koma)Monte Carlo Calculations of Elementary Excitation (M Takahashi)The Decoupled Cell Method of Quantum Monte Carlo Calculation (S Homma)Decoupled Cell Monte Carlo Study of the Critical Properties of the Spin-1/2 Ferromagnetic Heisenberg Model in Three Dimensions (R J Creswick & C J Sisson)Variational Monte Carlo Studies of Correlated Electrons (H Shiba)Quantum Monte Carlo Simulation of Multiband Fermion Systems and Its Application to Superconductivity (K Kuroki & H Aoki)Quantum Monte Carlo in the Infinite Dimensional Limit (M Jarrell et al.)Aspects of the Sign Problem (J H Samson)Ground-State Projection Using Auxiliary Fields (S Fahy)Fermion Simulations of Correlated Systems (M Imada)Dirty Bosons in 2D: Phases and Phase Transitions (N Trivedi & M Makivic)and other papers Readership: Condensed matter physicists.

Interacting Electrons and Quantum Magnetism

Author: Assa Auerbach
Publisher: Springer Science & Business Media
ISBN: 1461208696
Format: PDF, ePub
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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.

Theoretical Methods for Strongly Correlated Electrons

Author: David Sénéchal
Publisher: Springer Science & Business Media
ISBN: 0387008950
Format: PDF, ePub, Mobi
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Focusing on the purely theoretical aspects of strongly correlated electrons, this volume includes thorough pedagogical reviews as well as overviews of current problems and developments.