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Author : David Vanderbilt
Publisher : Cambridge University Press
Page : 395 pages
File Size : 49,8 Mb
Release : 2018-11
Category : Science
ISBN : 9781107157651
An introduction to the role of Berry phases in our modern understanding of the physics of electrons in solids.
Author : Richard M. Martin
Publisher : Cambridge University Press
Page : 658 pages
File Size : 52,6 Mb
Release : 2004-04-08
Category : Science
ISBN : 0521782856
An important graduate textbook in condensed matter physics by highly regarded physicist.
Author : B. Andrei Bernevig
Publisher : Princeton University Press
Page : 264 pages
File Size : 43,7 Mb
Release : 2013-04-07
Category : Science
ISBN : 9781400846733
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 : Richard M. Martin
Publisher : Cambridge University Press
Page : 791 pages
File Size : 43,9 Mb
Release : 2020-08-27
Category : Science
ISBN : 9781108657471
The study of electronic structure of materials is at a momentous stage, with new computational methods and advances in basic theory. Many properties of materials can be determined from the fundamental equations, and electronic structure theory is now an integral part of research in physics, chemistry, materials science and other fields. This book provides a unified exposition of the theory and methods, with emphasis on understanding each essential component. New in the second edition are recent advances in density functional theory, an introduction to Berry phases and topological insulators explained in terms of elementary band theory, and many new examples of applications. Graduate students and research scientists will find careful explanations with references to original papers, pertinent reviews, and accessible books. Each chapter includes a short list of the most relevant works and exercises that reveal salient points and challenge the reader.
Author : János K. Asbóth,László Oroszlány,András Pályi Pályi
Publisher : Springer
Page : 166 pages
File Size : 54,5 Mb
Release : 2016-02-22
Category : Science
ISBN : 9783319256078
This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the discussion of simple toy models is followed by the formulation of the general arguments regarding topological insulators. The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.
Author : Richard M. Martin
Publisher : Cambridge University Press
Page : 791 pages
File Size : 49,8 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9781108429900
An authoritative text in condensed matter physics, unifying theory and methods to present electronic structure to students and researchers.
Author : Indubala I Satija
Publisher : Morgan & Claypool Publishers
Page : 350 pages
File Size : 40,6 Mb
Release : 2016-09-06
Category : Science
ISBN : 9781681741178
Butterfly in the Quantum World by Indu Satija, with contributions by Douglas Hofstadter, is the first book ever to tell the story of the "Hofstadter butterfly", a beautiful and fascinating graph lying at the heart of the quantum theory of matter. The butterfly came out of a simple-sounding question: What happens if you immerse a crystal in a magnetic field? What energies can the electrons take on? From 1930 onwards, physicists struggled to answer this question, until 1974, when graduate student Douglas Hofstadter discovered that the answer was a graph consisting of nothing but copies of itself nested down infinitely many times. This wild mathematical object caught the physics world totally by surprise, and it continues to mesmerize physicists and mathematicians today. The butterfly plot is intimately related to many other important phenomena in number theory and physics, including Apollonian gaskets, the Foucault pendulum, quasicrystals, the quantum Hall effect, and many more. Its story reflects the magic, the mystery, and the simplicity of the laws of nature, and Indu Satija, in a wonderfully personal style, relates this story, enriching it with a vast number of lively historical anecdotes, many photographs, beautiful visual images, and even poems, making her book a great feast, for the eyes, for the mind and for the soul.
Author : Roderich Moessner,Joel E. Moore
Publisher : Cambridge University Press
Page : 393 pages
File Size : 53,8 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 : Steven M. Girvin,Kun Yang
Publisher : Cambridge University Press
Page : 720 pages
File Size : 50,8 Mb
Release : 2019-02-28
Category : Science
ISBN : 9781107137394
Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.
Author : Karin M. Rabe,Charles H. Ahn,Jean-Marc Triscone
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 45,5 Mb
Release : 2007-07-20
Category : Technology & Engineering
ISBN : 9783540345916
The past two decades have witnessed revolutionary breakthroughs in the understanding of ferroelectric materials, both from the perspective of theory and experiment. This book addresses the paradigmatic shifts in understanding brought about by these breakthroughs, including the consideration of novel fabrication methods and nanoscale applications of these materials, and new theoretical methods such as the effective Hamiltonian approach and density functional theory.
Author : Gabriele Giuliani,Giovanni Vignale
Publisher : Cambridge University Press
Page : 779 pages
File Size : 54,7 Mb
Release : 2008-06-19
Category : Science
ISBN : 9781139471589
Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules. One, two and three dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the Wigner crystal, from the Luttinger liquid to the quantum Hall liquid are extensively discussed. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is highly detailed and based on the simplest, most direct methods.
Author : Julius Jellinek
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 49,5 Mb
Release : 1999
Category : Science
ISBN : 3540620001
The book summarises contemporary knowledge about the theory of atomic and molecular clusters. New results are discussed on a high theoretical level. Access to this field of research is given by an explanation of the various subjects in introductory chapters.
Author : Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg
Publisher : Oxford University Press
Page : 458 pages
File Size : 55,7 Mb
Release : 2004-09-02
Category : Science
ISBN : 9780198566335
The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.
Author : Eric Sung Ryul Yang
Publisher : World Scientific
Page : 564 pages
File Size : 44,9 Mb
Release : 2023-03-21
Category : Science
ISBN : 9789811261916
This is the first graduate level textbook of topologically ordered phases with emphasis on graphene zigzag nanoribbons. It also explains common properties of several other topologically ordered phases as well as the e/2 fractional charge quantization and spin-charge separation of an electron.
Author : David J. Singh
Publisher : Springer Science & Business Media
Page : 121 pages
File Size : 44,7 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9781475723120
Over the past decade the world's technological and industrial base has become increasingly dependent on advanced materials. There is every indication that this trend will accelerate and that progress in many areas will increasingly depend on the development of new materials and processing techniques. A second and equally significant trend is the continuing ascent of the information technologies, which now touch almost every aspect of life in some way. In this environment it is natural that there is a strong interest in using numerical modeling in materials science. With its extreme accuracy and reasonable computational efficiency, the linearized augmented plane wave (LAPW) method has emerged as the standard by which density functional calculations for transition metal and rare-earth containing materials are judged. Planewaves, Pseudopotentials and the LAPW Method presents a thorough and self-contained exposition of the LAPW method, making this powerful technique more accessible to researchers and students who have some familiarity with local density approximation calculations. Theory is discussed, but the emphasis is on how practical implementation proceeds. In addition, the author suggests future directions for adapting the LAPW method to simulations of complex materials requiring large unit cells. He does this by elucidating the connections between the LAPW method and planewave pseudopotential approaches and by showing how Car--Parrinello type algorithms can be adapted to the LAPW method. Planewaves, Pseudopotentials and the LAPW Method is a valuable resource for researchers already involved in electronic structure calculations, as well as for newcomers seeking quick mastery of the LAPW technique.