Topology And Condensed Matter Physics

Author : Somendra Mohan Bhattacharjee,Mahan Mj,Abhijit Bandyopadhyay
Publisher : Springer
Page : 507 pages
File Size : 52,8 Mb
Release : 2017-12-20
Category : Science
ISBN : 9789811068416

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Topology and Condensed Matter Physics by Somendra Mohan Bhattacharjee,Mahan Mj,Abhijit Bandyopadhyay Pdf

This book introduces aspects of topology and applications to problems in condensed matter physics. Basic topics in mathematics have been introduced in a form accessible to physicists, and the use of topology in quantum, statistical and solid state physics has been developed with an emphasis on pedagogy. The aim is to bridge the language barrier between physics and mathematics, as well as the different specializations in physics. Pitched at the level of a graduate student of physics, this book does not assume any additional knowledge of mathematics or physics. It is therefore suited for advanced postgraduate students as well. A collection of selected problems will help the reader learn the topics on one's own, and the broad range of topics covered will make the text a valuable resource for practising researchers in the field. The book consists of two parts: one corresponds to developing the necessary mathematics and the other discusses applications to physical problems. The section on mathematics is a quick, but more-or-less complete, review of topology. The focus is on explaining fundamental concepts rather than dwelling on details of proofs while retaining the mathematical flavour. There is an overview chapter at the beginning and a recapitulation chapter on group theory. The physics section starts with an introduction and then goes on to topics in quantum mechanics, statistical mechanics of polymers, knots, and vertex models, solid state physics, exotic excitations such as Dirac quasiparticles, Majorana modes, Abelian and non-Abelian anyons. Quantum spin liquids and quantum information-processing are also covered in some detail.

Author : Michael I. Monastyrsky
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 55,9 Mb
Release : 2006-02-04
Category : Science
ISBN : 9783540312642

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Topology in Condensed Matter by Michael I. Monastyrsky Pdf

This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such as the Fermi surfaces of normal metals, liquid crystals and quasicrystals. The authors of the book are renowned specialists in their fields and present the results of ongoing research, some of it obtained only very recently and not yet published in monograph form.

Author : Miguel A N Araujo,Pedro Sacramento
Publisher : World Scientific
Page : 276 pages
File Size : 46,8 Mb
Release : 2021-05-19
Category : Science
ISBN : 9789811237232

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Topology In Condensed Matter: An Introduction by Miguel A N Araujo,Pedro Sacramento Pdf

This text serves as a pedagogical introduction to the theoretical concepts on application of topology in condensed matter systems. It covers an introduction to basic concepts of topology, emphasizes the relation of geometric concepts such as the Berry phase to topology, having in mind applications in condensed matter. In addition to describing two basic systems such as topological insulators and topological superconductors, it also reviews topological spin systems and photonic systems. It also describes the use of quantum information concepts in the context of topological phases and phase transitions, and the effect of non-equilibrium perturbations on topological systems.This book provides a comprehensive introduction to topological insulators, topological superconductors and topological semimetals. It includes all the mathematical background required for the subject. There are very few books with such a coverage in the market.

Author : Antonio Sergio Teixeira Pires
Publisher : Morgan & Claypool Publishers
Page : 171 pages
File Size : 44,5 Mb
Release : 2019-03-21
Category : Science
ISBN : 9781643273747

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A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics by Antonio Sergio Teixeira Pires Pdf

In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition. The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.

Author : M. Monastyrsky
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 43,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781489924032

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Topology of Gauge Fields and Condensed Matter by M. Monastyrsky Pdf

''Intended mainly for physicists and mathematicians...its high quality will definitely attract a wider audience.'' ---Computational Mathematics and Mathematical Physics This work acquaints the physicist with the mathematical principles of algebraic topology, group theory, and differential geometry, as applicable to research in field theory and the theory of condensed matter. Emphasis is placed on the topological structure of monopole and instanton solution to the Yang-Mills equations, the description of phases in superfluid 3He, and the topology of singular solutions in 3He and liquid crystals.

Author : Hendrik B. Geyer
Publisher : Springer
Page : 232 pages
File Size : 43,8 Mb
Release : 1995-08-18
Category : Mathematics
ISBN : UOM:39015034924038

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Field Theory, Topology and Condensed Matter Physics by Hendrik B. Geyer Pdf

This topical volume contains five pedagogically written articles on the interplay between field theory and condensed matter physics. The main emphasis is on the topological aspects, and especially quantum Hall fluids, and superconductivity is treated extensively. Other topics are conformal invariance and path integrals. The articles are carefully edited so that the book could ideally serve as a text for special graduate courses.

Author : Roderich Moessner,Joel E. Moore
Publisher : Cambridge University Press
Page : 393 pages
File Size : 54,6 Mb
Release : 2021-04-29
Category : Mathematics
ISBN : 9781107105539

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Topological Phases of Matter by Roderich Moessner,Joel E. Moore Pdf

This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

Author : Michael I. Monastyrsky
Publisher : Springer
Page : 254 pages
File Size : 48,5 Mb
Release : 2009-09-02
Category : Science
ISBN : 3540804471

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Topology in Condensed Matter by Michael I. Monastyrsky Pdf

Author : Michael El-Batanouny
Publisher : Cambridge University Press
Page : 839 pages
File Size : 50,6 Mb
Release : 2020-03-26
Category : Science
ISBN : 9781108480840

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Advanced Quantum Condensed Matter Physics by Michael El-Batanouny Pdf

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 : Eduardo Fradkin
Publisher : Cambridge University Press
Page : 855 pages
File Size : 44,6 Mb
Release : 2013-02-28
Category : Science
ISBN : 9780521764445

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Field Theories of Condensed Matter Physics by Eduardo Fradkin Pdf

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.

Author : Steven M. Girvin,Kun Yang
Publisher : Cambridge University Press
Page : 720 pages
File Size : 48,8 Mb
Release : 2019-02-28
Category : Science
ISBN : 9781107137394

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Modern Condensed Matter Physics by Steven M. Girvin,Kun Yang Pdf

Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.

Author : B. Andrei Bernevig
Publisher : Princeton University Press
Page : 264 pages
File Size : 53,9 Mb
Release : 2013-04-07
Category : Science
ISBN : 9781400846733

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Topological Insulators and Topological Superconductors by B. Andrei Bernevig Pdf

This graduate-level textbook is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for graduate students and researchers preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with simple concepts such as Berry phases, Dirac fermions, Hall conductance and its link to topology, and the Hofstadter problem of lattice electrons in a magnetic field. It moves on to explain topological phases of matter such as Chern insulators, two- and three-dimensional topological insulators, and Majorana p-wave wires. Additionally, the book covers zero modes on vortices in topological superconductors, time-reversal topological superconductors, and topological responses/field theory and topological indices. The book also analyzes recent topics in condensed matter theory and concludes by surveying active subfields of research such as insulators with point-group symmetries and the stability of topological semimetals. Problems at the end of each chapter offer opportunities to test knowledge and engage with frontier research issues. Topological Insulators and Topological Superconductors will provide graduate students and researchers with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.

Author : Pires Antonio Sergio Teixeira
Publisher : Unknown
Page : 0 pages
File Size : 48,7 Mb
Release : 1901
Category : Electronic
ISBN : 1643273736

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Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics by Pires Antonio Sergio Teixeira Pdf

Author : Charles Nash,Siddhartha Sen
Publisher : Courier Corporation
Page : 302 pages
File Size : 53,8 Mb
Release : 2013-08-16
Category : Mathematics
ISBN : 9780486318363

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Topology and Geometry for Physicists by Charles Nash,Siddhartha Sen Pdf

Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.

Author : F. Yonezawa,T. Ninomiya
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642821042

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Topological Disorder in Condensed Matter by F. Yonezawa,T. Ninomiya Pdf

This volume contains papers presented at the Fifth Taniguchi Symposium on the Theory of Condensed Matter, which was held between 2-5 November, 1982, at Shimoda, Japan. The topic of the Symposium was "Topological Disorder in Condensed Matter. " The objective of the Taniguchi Symposium is to encourage activity in those fields of research not in the limelight at the moment but regarded as very promising, such as our theme. Topological disorder refers to the dis order in the positions and connectivities of atoms in amorphous solids and liquids. The development of the physiCS of topologically disorderd systems, though extremely important fundamentally and for application purposes, falls far behind compared to that of other kinds of disorderd systems because the structure characterization of topologically disordered systems is still at a rather primitive stage. The structure characterization is the key to com prehensive understanding of physical properties of any material. Recently, several new attempts at structural analyses have been reported. Encouraged by this fact, our motivation in organizing the symposium was to investigate the possibilities of theoretical approaches to open a breakthrough in the present research situation on this subject. A rough sketch of the problem is made in the Introduction to give the readers a general outline of the subject. Part I is devoted to several at tempts to synthesize and characterize topological disorder more or less by analytical means.