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Author : F. Yonezawa,T. Ninomiya
Publisher : Unknown
Page : 272 pages
File Size : 55,9 Mb
Release : 1983-08-01
Category : Electronic
ISBN : 3642821057
Author : Fumiko Yonezawa,Toshiyuki Ninomiya
Publisher : Springer
Page : 280 pages
File Size : 42,5 Mb
Release : 1983
Category : Amorphous substances
ISBN : UCSD:31822000044669
Author : F. Yonezawa,T. Ninomiya
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642821042
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.
Author : Roger J. Elliott,J. A. Blackman,J. Tagüeña
Publisher : Unknown
Page : 536 pages
File Size : 45,8 Mb
Release : 1991
Category : Science
ISBN : UOM:39015021845691
Roger Elliott has been one of the leading figures in theoretical condensed matter physics for over three decades. In 1989, a symposium was held in Oxford to mark his sixtieth birthday. This book is a collection of thirty-eight articles by his-colleagues and ex-students, based on papers presented at the symposium. The articles are authoritative accounts of current developments in the physics of random systems (structural, dynamic, and statistical properties), magnetism and superconductivity, phase transitions, and quantum optics and excitonic effects. The theme of disorder figures prominently throughout the book.
Author : Roderich Moessner,Joel E. Moore
Publisher : Cambridge University Press
Page : 393 pages
File Size : 54,7 Mb
Release : 2021-04-29
Category : Mathematics
ISBN : 9781107105539
This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.
Author : Miguel A N Araujo,Pedro Sacramento
Publisher : World Scientific
Page : 276 pages
File Size : 41,8 Mb
Release : 2021-05-19
Category : Science
ISBN : 9789811237232
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 : Michael I. Monastyrsky
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 53,9 Mb
Release : 2006-02-04
Category : Science
ISBN : 9783540312642
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 : Somendra Mohan Bhattacharjee,Mahan Mj,Abhijit Bandyopadhyay
Publisher : Springer
Page : 507 pages
File Size : 46,9 Mb
Release : 2017-12-20
Category : Science
ISBN : 9789811068416
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 : Claudio Chamon,Mark O. Goerbig,Roderich Moessner,Leticia F. Cugliandolo
Publisher : Oxford University Press
Page : 705 pages
File Size : 43,9 Mb
Release : 2017
Category : Science
ISBN : 9780198785781
Topological condensed matter physics is a recent arrival among the disciplines of modern physics of a distinctive and substantive nature. Its roots reach far back, but much of its current importance derives from exciting developments in the last half-century. The field is advancing rapidly, growing explosively, and diversifying greatly. There is now a zoo of topological phenomena-the quantum spin Hall effect, topological insulators, Coulomb spin liquids, non-Abelian anyonic statistics and their potential application in topological quantum computing, to name but a few-as well as an increasingly sophisticated set of concepts and methods underpinning their understanding. The aim of this Les Houches Summer School was to present an overview of this field, along with a sense of its origins and its place on the map of advances in fundamental physics. The school comprised a set of basic lectures (Part I) aimed at a pedagogical introduction to the fundamental concepts, which was accompanied by more advanced lectures (Part II) covering individual topics at the forefront of today's research in condensed matter physics.
Author : Jose Jorge V,Phua Kok Khoo,Brink Lars
Publisher : World Scientific
Page : 264 pages
File Size : 48,8 Mb
Release : 2018-08-10
Category : Science
ISBN : 9789813271357
Geometry and topology have been a fascination in physics since the start of the 20th century. A leading example is Einstein's geometrical theory of gravity. At the beginning of the 1970s, topological ideas entered areas of condensed matter physics. These advances were driven by new seminal ideas resolving a serious contradiction between experiment and the standard interpretation of a rigorous mathematical theorem which led to the study of new exotic topological phases of matter. Topological defect driven phase transitions in thin, two dimensional films of superfluids, superconductors and crystals have provided great insight into the mechanism governing these topological phases present in those physical systems. Moreover, many of these topological properties remain 'protected' against disorder and topological distortion perturbations. An example of possible applications of such robustness to perturbations is in the search for encoding information in quantum computers, potentially providing the platform for fault-tolerant quantum computations. In the past four decades, the discovery of topological phases engendered great interest in condensed matter physics. It also attracted the attention of researchers working on quantum information, quantum materials and simulations, high energy physics and string theory. This unique volume contains articles written by some of the most prominent names in the field, including Nobel Laureate John Michael Kosterlitz and Professor Jorge V José. They originate from talks and discussions by leading experts at a recent workshop. They review previous works as well as addressing contemporary developments in the most pressing and important issues on various aspects of topological phases and topological phase transitions.
Author : Anne-Christine Davis,Robert Brandenberger
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 54,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461518839
Topological defects have recently become of great interest in condensed matter physics, particle physics and cosmology. They are the unavoidable remnants of many symmetry breaking phase transitions. Topological defects can play an important role in describing the properties of many condensed matter systems (e.g. superfluids and superconduc tors); they can catalyze many unusual effects in particle physics models and they may be responsible for seeding the density perturbations in the early Universe which de velop into galaxies and the large-scale structure of the Universe. Topological defects are also of great interest in mathematics as nontrivial solutions of nonlinear differential equations stabilized by topological effects. The purpose of the Advanced Study Institute "Formation and Interactions of Topo logical Defects" was to bring together students and practitioners in condensed matter physics, particle physics and cosmology, to give a detailed exposition of the role of topo logical defects in these fields; to explore similarities and differences in the approaches; and to provide a common basis for discussion and future collaborative research on common problems.
Author : Claudio Chamon,Mark O. Goerbig,Roderich Moessner,Leticia F. Cugliandolo
Publisher : Oxford University Press
Page : 705 pages
File Size : 44,5 Mb
Release : 2017-02-16
Category : Science
ISBN : 9780191088797
This book contains lecture notes by world experts on one of the most rapidly growing fields of research in physics. Topological quantum phenomena are being uncovered at unprecedented rates in novel material systems. The consequences are far reaching, from the possibility of carrying currents and performing computations without dissipation of energy, to the possibility of realizing platforms for topological quantum computation.The pedagogical lectures contained in this book are an excellent introduction to this blooming field. The lecture notes are intended for graduate students or advanced undergraduate students in physics and mathematics who want to immerse in this exciting XXI century physics topic. This Les Houches Summer School presents an overview of this field, along with a sense of its origins and its placement on the map of fundamental physics advancements. The School comprised a set of basic lectures (part 1) aimed at a pedagogical introduction of the fundamental concepts, which was accompanied by more advanced lectures (part 2) covering individual topics at the forefront of today's research in condensed-matter physics.
Author : Shun-Qing Shen
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 55,9 Mb
Release : 2013-01-11
Category : Technology & Engineering
ISBN : 9783642328589
Topological insulators are insulating in the bulk, but process metallic states present around its boundary owing to the topological origin of the band structure. The metallic edge or surface states are immune to weak disorder or impurities, and robust against the deformation of the system geometry. This book, the first of its kind on topological insulators, presents a unified description of topological insulators from one to three dimensions based on the modified Dirac equation. A series of solutions of the bound states near the boundary are derived, and the existing conditions of these solutions are described. Topological invariants and their applications to a variety of systems from one-dimensional polyacetalene, to two-dimensional quantum spin Hall effect and p-wave superconductors, and three-dimensional topological insulators and superconductors or superfluids are introduced, helping readers to better understand this fascinating new field. This book is intended for researchers and graduate students working in the field of topological insulators and related areas. Shun-Qing Shen is a Professor at the Department of Physics, the University of Hong Kong, China.
Author : Alan R. Bishop,David K. Campbell,Steven E. Trullinger,Pradeep Kumar
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642830334
The Sixth Annual Conference of the Center for Nonlinear Studies at the Los Alamos National Laboratory was held May 5-9, 1986, on the topic "Nonlinearity in Condensed Matter: Lessons from the Past and Prospects for the Future. " As conference organizers, we felt that the study of non linear phenomena in condensed matter had matured to the point where it made sense to take stock of the numerous lessons to be learned from a variety of contexts where nonlinearity plays a fundamental role and to evaluate the prospects for the growth of this general discipline. The successful 1978 Oxford Symposium on nonlinear (soliton) struc ture and dynamics in condensed matter (Springer Ser. Solid-State Sci. , Vol. 8) was held at a time when the ubiquity of solitons was just begin ning to be appreciated by the condensed matter community; in subsequent years the soliton paradigm has provided a rather useful framework for in vestigating a large number of phenomena, particularly in low-dimensional systems. Nevertheless, we felt that the importance of nonlinearity in wider arenas than "solitonics" merited a significant expansion in the scope of the conference over that of the 1978 symposium. Indeed, many of the lessons are quite general and their potential for cross-fertilization of otherwise poorly connected disciplines was certainly one of the prime motivations for this conference. Thus, while these proceedings contain many contribu tions pertaining to soliton behavior in different contexts, the reader will find much more as well, particularly in the later chapters.
Author : Ansel Cochran Anderson,James Phillip Wolfe
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642829123
This volume contains the proceedings of the Fifth International Confer ence on Phonon Scattering in Condensed Matter held June 2-6, 1986 at the University of Illinois at Urbana-Champaign. The preceding confer ences were held at St. Maxime and Paris in 1972, at the University of Nottingham in 1975, at Brown University in 1979, and at the University of Stuttgart in 1983. The Illinois conference dealt with both traditional and newly developing topics in the area of phonon scattering. Papers were presented on phonon scattering in glassy and crystalline dielectrics, semi conductors, metals (both normal and superconducting), and in the areas of phonon imaging, large wave vector phonons, optical techniques and new experimental methods. The 12 invited papers and 100 contributed papers were presented by the 125 scientists from 14 countries. A citation was presented to Professor Paul Klemens of the University of Connecticut for his pioneering contributions to the physics of phonon scattering in solids. Paul Gustav Klemens Born - Vienna (1925) B. Sc. - Sydney (1946) D. Phil. - Oxford (1950) National Standards Lab. , Sydney (1950-1959) Westinghouse Research Labs. , Pittsburgh (1964-1969) Univ. of Connecticut (1967- ) Fellow: American Physical Society British Institute of Physics & Physical Society A long career dedicated to the understanding of thermal transport. Few papers are published on phonon thermal transport that do not reference his work.