Download and read online Condensed Matter Field Theory in PDF and EPUB 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.
Download and read online Field Theories of Condensed Matter Physics in PDF and EPUB Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.
Download and read online Quantum Field Theory in Condensed Matter Physics in PDF and EPUB This is an approachable introduction to the important topics and recent developments in the field of condensed matter physics. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.
Download and read online Quantum Field Theory in Condensed Matter Physics in PDF and EPUB This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.
Download and read online Field Theories in Condensed Matter Physics in PDF and EPUB 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.
Download and read online Lecture Notes on Field Theory in Condensed Matter Physics in PDF and EPUB The aim of this book is to introduce a graduate student to selected concepts in condensed matter physics for which the language of field theory is ideally suited. The examples considered in this book are those of superfluidity for weakly interacting bosons, collinear magnetism, and superconductivity. Quantum phase transitions are also treated in the context of quantum dissipative junctions and interacting fermions constrained to one-dimensional position space. The style of presentation is sufficiently detailed and comprehensive that it only presumes familiarity with undergraduate physics.
Download and read online Low Dimensional Quantum Field Theories for Condensed Matter Physicists in PDF and EPUB This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks. Contents: Some Geometry and Topology (G Marmo & G Morandi)Gauge Symmetries, Topology and Quantisation (A P Balachandran)The Chern-Simons-Landau-Ginzburg Theory of the Fractional Quantum Hall Effect (S C Zhang)Universitality in the Fractional Quantum Hall (E Fradkin & A Lopez)Anyons and Anyon Superconductivity (A L Fetter)Bosonization: How to Make It Work for You in Condensed Matter (R Shankar)Methods of Conformal Field Theory in Condensed Matter Physics (A W W Ludwig)Integrable Models in Condensed Matter Physics (N Andrei)Quantum Antiferromagnets in Two Dimensions (S Sachdev) Readership: Researchers and graduate students. keywords:
Download and read online Quantum Field Theory and Condensed Matter in PDF and EPUB
Download and read online Quantum Field Theory and Condensed Matter in PDF and EPUB 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.
Download and read online Applications of Statistical and Field Theory Methods to Condensed Matter in PDF and EPUB 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.
Download and read online Field Theories for Low Dimensional Condensed Matter Systems in PDF and EPUB The contributions in this book give a high-level coverage of many of the subjects and techniques needed to understand the physics of low-dimensional condensed matter systems. The topics presented include the use of conformal field theories, the Luttinger liquid approach to one-dimensional electron systems, and the use of random matrices in problems connected with quantum chaos. The contributions are authored by some of the most prominent physicists active in the field, among them the 1998 Nobel Prize laureate R. B. Laughlin. The book should become an extremely useful instrument for all those interested in theoretical condensed matter physics.
Download and read online Quantum Field Theory Approach to Condensed Matter Physics in PDF and EPUB 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
Download and read online Boulevard of Broken Symmetries in PDF and EPUB This textbook covers the main topics in contemporary condensed matter physics in a modern and unified way, using quantum field theory in the functional-integral approach. The book highlights symmetry aspects in acknowledging that much of the collective behaviors of condensed matter systems at low temperatures emerge above a nontrivial ground state, which spontaneously breaks the symmetry. The emphasis is on effective field theories which provide an efficient and powerful description that is valid at long wavelengths and low frequencies. In conjunction with the emphasis on effective theories, a modern approach towards renormalization is taken, whereby a wavenumber cut-off is introduced to set a scale beyond which the microscopic model under consideration ceases to be valid. The unique and innovative character of this presentation, free of historical constraints, allows for a compact and self-contained treatment of the main topics in contemporary condensed matter physics.
Download and read online Quantum Field Theory and Condensed Matter Physics in PDF and EPUB The aim of this interdisciplinary conference was to bring together experts in quantum field theory and condensed matter physics to survey the latest exciting developments in this border-line field, such as the Chern-Simons field theory and quantum hall effect, anyon superconductivity, Yang-Baxter equations and quantum groups, conformal field theory and multi-channel kondo effect, matrix models and quantum gravity, etc. This set of proceedings contains brief reviews contributed by leading experts in the field.
Download and read online Topological and quantum group methods in field theory and condensed matter physics in PDF and EPUB