Topological Insulators and Topological Superconductors

Written By B. Andrei Bernevig
Topological Insulators and Topological Superconductors
  • Publsiher : Princeton University Press
  • Release : 07 April 2013
  • ISBN : 069115175X
  • Pages : 247 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Topological Insulators and Topological Superconductors written by B. Andrei Bernevig which was release on 07 April 2013, this book published by Princeton University Press. Available in PDF, EPUB and Kindle Format. Book excerpt: 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.

Topological Insulators and Topological Superconductors

Topological Insulators and Topological Superconductors
  • Author : B. Andrei Bernevig,Taylor L. Hughes
  • Publisher : Princeton University Press
  • Release Date : 2013-04-07
  • Total pages : 247
  • ISBN : 069115175X
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Summary : 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 ...

Topological Insulators

Topological Insulators
  • Author : Panagiotis Kotetes
  • Publisher : Morgan & Claypool Publishers
  • Release Date : 2019-04-24
  • Total pages : 215
  • ISBN : 069115175X
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Summary : This book provides an introduction to topological matter with a focus on insulating bulk systems. A number of prerequisite concepts and tools are first laid out, including the notion of symmetry transformations, the band theory of semiconductors and aspects of electronic transport. The main part of the book discusses realistic ...

Topological Insulators

Topological Insulators
  • Author : Ari M. Turner,Ashvin Vishwanath
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-11-23
  • Total pages : 352
  • ISBN : 069115175X
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Summary : Download or read online Topological Insulators written by Ari M. Turner,Ashvin Vishwanath, published by Elsevier Inc. Chapters which was released on 2013-11-23. Get Topological Insulators Books now! Available in PDF, ePub and Kindle....

Topological Insulators

Topological Insulators
  • Author : Chaoxing Liu,Shoucheng Zhang
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-11-23
  • Total pages : 352
  • ISBN : 069115175X
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Summary : In the chapter, we review two proto-type models of topological insulators, namely the Bernevig-Hughes-Zhang model for HgTe quantum wells and the four band model for family of materials. Based on these two simple models, we discuss helical edge/surface states of topological insulators, as well as their exotic physical properties, ...

Topological Insulators

Topological Insulators
  • Author : Shun-Qing Shen
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-01-11
  • Total pages : 225
  • ISBN : 069115175X
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Summary : 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 ...

Topological Insulators

Topological Insulators
  • Author : C.L. Kane
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-11-23
  • Total pages : 352
  • ISBN : 069115175X
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Summary : We give a pedagogical introduction to theory of topological insulators. Following an introduction to the role of topology in band theory, we discuss several examples in detail. These include theories of the electric polarization in one dimension, the integer quantum Hall effect in two dimensions and topological insulators in two ...

Topological Insulators

Topological Insulators
  • Author : Gregory Tkachov
  • Publisher : CRC Press
  • Release Date : 2015-10-14
  • Total pages : 182
  • ISBN : 069115175X
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Summary : This book is the result of dynamic developments that have occurred in condensed matter physics after the recent discovery of a new class of electronic materials: topological insulators. A topological insulator is a material that behaves as a band insulator in its interior, while acting as a metallic conductor at ...

Topological Insulators

Topological Insulators
  • Author : Frank Ortmann,Stephan Roche,Sergio O. Valenzuela
  • Publisher : John Wiley & Sons
  • Release Date : 2015-04-07
  • Total pages : 432
  • ISBN : 069115175X
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Summary : There are only few discoveries and new technologies in physical sciences that have the potential to dramatically alter and revolutionize our electronic world. Topological insulators are one of them. The present book for the first time provides a full overview and in-depth knowledge about this hot topic in materials science ...

Topological Insulators

Topological Insulators
  • Author : Haim Beindenkopf,Pedram Roushan,Ali Yazdani
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-11-23
  • Total pages : 352
  • ISBN : 069115175X
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Summary : Topological insulators are materials in which spin-orbit coupling is strong enough as to invert the ordering of bulk bands about the insulating bulk gap. While the bulk properties of these materials are not much different than any other insulating material their topological classification ensures the existence of exotic states on ...

Topological Insulators

Topological Insulators
  • Author : Vadim Nemytov
  • Publisher : Unknown
  • Release Date : 2013
  • Total pages : 212
  • ISBN : 069115175X
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Summary : "In this thesis we investigate quantum transport properties of topological insulator (TI) Bi2 Se3 from atomistic point of view. TI is a material having an energy gap in its bulk but supporting gapless helical states on its boundary. The helical states have Dirac-like linear energy dispersion continuously crossing the bulk ...

Topological Insulators

Topological Insulators
  • Author : Naoto Nagaosa
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-11-23
  • Total pages : 352
  • ISBN : 069115175X
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Summary : The discovery of the rich topological structures of electronic states in solids has opened up many interesting possibilities. The “twist” of the wavefunctions in momentum space, which is characterized by topological invariants, leads to the robust edge or surface states. The electron fractionalization associated with these topological states brings about ...

Topological Insulators

Topological Insulators
  • Author : M. Zahid Hasan,Su-Yang Xu,David Hsieh,L. Andrew Wray,Yuqi Xia
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-11-23
  • Total pages : 352
  • ISBN : 069115175X
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Summary : Topological Surface States (TSS) represent new types of two dimensional electron systems with novel and unprecedented properties distinct from any quantum Hall-like or spin-Hall effects. Their topological order can be realized at room temperatures without magnetic fields and they can be turned into magnets, exotic superconductors or Kondo insulators leading ...

Topological Insulators

Topological Insulators
  • Author : Joel E. Moore
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-11-23
  • Total pages : 352
  • ISBN : 069115175X
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Summary : The theory of the topological insulator phase that emerges via spin-orbit coupling in three-dimensional materials is introduced, stressing its relationship to earlier topological phases in two dimensions. An unusual surface state with an odd number of “Dirac points” appears as a consequence of bulk topological invariants of the band structure. ...

Topological Insulators

Topological Insulators
  • Author : C. Brüne,H. Buhmann,L.W. Molenkamp
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-11-23
  • Total pages : 352
  • ISBN : 069115175X
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Summary : This chapter will focus on the experimental properties of the quantum spin Hall effect in HgTe quantum well structures. HgTe quantum wells above a critical thickness are 2-dimensional topological insulators. The most prominent signature of the non-trivial topology in these systems is the occurrence of the quantum spin Hall effect ...

Magnetism in Topological Insulators

Magnetism in Topological Insulators
  • Author : Vladimir Litvinov
  • Publisher : Springer
  • Release Date : 2019-05-07
  • Total pages : 158
  • ISBN : 069115175X
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Summary : This book serves as a brief introduction to topological insulator physics and device applications. Particular attention is paid to the indirect exchange interaction mediated by near surface Dirac fermions and the spin texture this interaction favors. Along with useful information on semiconductor material systems, the book provides a theoretical background ...