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Applications Of Statistical And Field Theory Methods To Condensed Matter
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Book Synopsis Applications of Statistical and Field Theory Methods to Condensed Matter by : Dionys Baeriswyl
Download or read book Applications of Statistical and Field Theory Methods to Condensed Matter written by Dionys Baeriswyl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Condensed Matter Field Theory by : Alexander Altland
Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems by : Bohdan I Lev
Download or read book Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems written by Bohdan I Lev and published by World Scientific. This book was released on 2021-02-18 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).
Book Synopsis Methods of Quantum Field Theory in Statistical Physics by : Alekseĭ Alekseevich Abrikosov
Download or read book Methods of Quantum Field Theory in Statistical Physics written by Alekseĭ Alekseevich Abrikosov and published by . This book was released on 1963 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis String Theory Methods for Condensed Matter Physics by : Horatiu Nastase
Download or read book String Theory Methods for Condensed Matter Physics written by Horatiu Nastase and published by Cambridge University Press. This book was released on 2017-09-21 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of a duality between Anti-de Sitter spaces (AdS) and Conformal Field Theories (CFT) has led to major advances in our understanding of quantum field theory and quantum gravity. String theory methods and AdS/CFT correspondence maps provide new ways to think about difficult condensed matter problems. String theory methods based on the AdS/CFT correspondence allow us to transform problems so they have weak interactions and can be solved more easily. They can also help map problems to different descriptions, for instance mapping the description of a fluid using the Navier–Stokes equations to the description of an event horizon of a black hole using Einstein's equations. This textbook covers the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics. Bridging the gap between string theory and condensed matter, this is a valuable textbook for students and researchers in both fields.
Book Synopsis Quantum Field Theory in Condensed Matter Physics by : Alexei M. Tsvelik
Download or read book Quantum Field Theory in Condensed Matter Physics written by Alexei M. Tsvelik and published by Cambridge University Press. This book was released on 1996-08-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to the basic tools and concepts of quantum field theory, and goes on to demonstrate their use in a range of topics in statistical mechanics and condensed matter physics. The first part of the book outlines the key methods of quantum field theory, including path integrals, Feynman diagrams, and renormalization. These are then applied to such topics as electrodynamics in metals, relativistic fermions and the Aharonov-Bohm effect. The rest of the book is dedicated to the use of non-perturbative techniques, and deals with strongly fluctuating spin systems, conformal symmetry and Kondo chains, as well as a number of related problems. The book will be useful to graduate students and established researchers in condensed matter physics and statistical mechanics, and to anyone with an interest in the modern techniques of quantum field theory.
Book Synopsis Quantum Field Theory Approach to Condensed Matter Physics by : Eduardo C. Marino
Download or read book Quantum Field Theory Approach to Condensed Matter Physics written by Eduardo C. Marino and published by Cambridge University Press. This book was released on 2017-09-28 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: A balanced combination of introductory and advanced topics provides a new and unique perspective on the quantum field theory approach to condensed matter physics. Beginning with the basics of these subjects, such as static and vibrating lattices, independent and interacting electrons, the functional formulation for fields and different generating functionals and their roles, this book presents a unified viewpoint illustrating the connections and relationships among various physical concepts and mechanisms. Advanced and newer topics bring the book up to date with current developments and include sections on cuprate and pnictide superconductors, graphene, Weyl semimetals, transition metal dichalcogenides and topological insulators. Finally, well-known subjects such as the quantum Hall effect, superconductivity, Mott and Anderson insulators, and the Anderson–Higgs mechanism are examined within a unifying QFT-CMP approach. Presenting new insights on traditional topics, this text allows graduate students and researchers to master the proper theoretical tools required in a variety of condensed matter physics systems.
Book Synopsis Quantum Field Theory and Condensed Matter by : Ramamurti Shankar
Download or read book Quantum Field Theory and Condensed Matter written by Ramamurti Shankar and published by Cambridge University Press. This book was released on 2017-08-31 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Statistical Field Theories by : Andrea Cappelli
Download or read book Statistical Field Theories written by Andrea Cappelli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in theoretical physics include new instances of the unification of quite different phenomena. The theoretical community is challenged by the growing interactions between high-energy physics, statistical physics, and condensed matter physics. The common language, though, is exact solutions of two-dimensional and conformable field theories. This volume is a faithful representation of this interdisciplinary domain. Conformable and integrable field theories have been active research topics for several decades. The main recent developments concern the boundary effects and applications to disordered systems. The number of applications of the exact methods to condensed-matter problems has been growing over the years. Nowadays it is widely recognized that strongly interacting systems in low dimensions can be successfully described by integrable and conformable theories. This volume is an indispensable aid to those seeking to find their way in this domain.
Book Synopsis Quantum Field Theory in Condensed Matter Physics by : Naoto Nagaosa
Download or read book Quantum Field Theory in Condensed Matter Physics written by Naoto Nagaosa and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Field Theories of Condensed Matter Physics by : Eduardo Fradkin
Download or read book Field Theories of Condensed Matter Physics written by Eduardo Fradkin and published by Cambridge University Press. This book was released on 2013-02-28 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Statistical Physics by : Claudine Hermann
Download or read book Statistical Physics written by Claudine Hermann and published by Springer Science & Business Media. This book was released on 2006-01-26 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Physics bridges the properties of a macroscopic system and the microscopic behavior of its constituting particles, otherwise impossible due to the giant magnitude of Avogadro's number. Numerous systems of today's key technologies - such as semiconductors or lasers - are macroscopic quantum objects; only statistical physics allows for understanding their fundamentals. Therefore, this graduate text also focuses on particular applications such as the properties of electrons in solids with applications, and radiation thermodynamics and the greenhouse effect.
Book Synopsis Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems by : Bohdan Lev
Download or read book Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems written by Bohdan Lev and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states. The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications. To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.)"--
Book Synopsis Quantum Field Theory by : Eduardo Fradkin
Download or read book Quantum Field Theory written by Eduardo Fradkin and published by Princeton University Press. This book was released on 2021-03-23 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Quantum field theory is the mathematical and conceptual framework that describes the physics of the very small, including subatomic particles and quasiparticles. It is used to address a range of problems across subfields, from high-energy physics and gravitation to statistical physics and condensed matter physics. Despite the breadth of its applications, however, the teaching of quantum field theory has historically been strongly oriented toward high-energy physics students, while others-particularly in condensed matter and statistical physics-are typically taught in a separate course, or take an alternate sequence in many-body and statistical physics. Author Eduardo Fradkin strongly believes that this separation is both artificial and detrimental to all groups' understanding of quantum field theory. This textbook, developed from a graduate course Fradkin has taught for decades at the University of Illinois, offers a new, "multicultural" approach to the subject that seeks to remedy this fragmentation. It covers both basic techniques and topics at the frontiers of current research, and integrates modern concepts and examples from high-energy, statistical, and condensed-matter physics alike. Extensive problem sets further illustrate applications across a range of subfields. The book will be suitable for students across physical subdisciplines who have mastered graduate-level quantum mechanics, and will be a useful reference for researchers"--
Book Synopsis Condensed Matter Field Theory by : Alexander Altland
Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2023-09-30 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text introduces methods of quantum field theory in condensed matter physics from basic concepts to modern developments and applications.
Book Synopsis Topics and Methods in Condensed Matter Theory by : Michele Cini
Download or read book Topics and Methods in Condensed Matter Theory written by Michele Cini and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides course material in theoretical physics intended for undergraduate and graduate students specializing in condensed matter. The book derives from teaching activity, offering readable and mathematical treatments explained in sufficient detail to be followed easily. The main emphasis is always on the physical meaning and applicability of the results. Many examples are provided for illustration; these also serve as worked problems. Discussion extends to atomic physics, relativistic quantum mechanics, elementary QED, electron spectroscopy, nonlinear optics, and various aspects of the many-body problem. Methods such as group representation theory, Green’s functions, the Keldysh formalism and recursion techniques were also imparted.
Book Synopsis Statistical Mechanics and Applications in Condensed Matter by : Carlo Di Castro
Download or read book Statistical Mechanics and Applications in Condensed Matter written by Carlo Di Castro and published by Cambridge University Press. This book was released on 2015-08-27 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative and modular textbook combines classical topics in thermodynamics, statistical mechanics and many-body theory with the latest developments in condensed matter physics research. Written by internationally renowned experts and logically structured to cater for undergraduate and postgraduate students and researchers, it covers the underlying theoretical principles and includes numerous problems and worked examples to put this knowledge into practice. Three main streams provide a framework for the book; beginning with thermodynamics and classical statistical mechanics, including mean field approximation, fluctuations and the renormalization group approach to critical phenomena. The authors then examine quantum statistical mechanics, covering key topics such as normal Fermi and Luttinger liquids, superfluidity and superconductivity. Finally, they explore classical and quantum kinetics, Anderson localization and quantum interference, and disordered Fermi liquids. Unique in providing a bridge between thermodynamics and advanced topics in condensed matter, this textbook is an invaluable resource to all students of physics.
