Topological Insulators
Dirac Equation in Condensed Matter
Authors: Shen, Shun-Qing
Free Preview- Gives an up-to-date overview of the studies in the hot field of topological insulators
- Presents a unified description of topological insulators, superconductors and Weyl semimetals from one to three dimensions based on the modified Dirac equation
- Serves as a starting point for newcomers or students to enter the field of topological insulators
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- About this book
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This new edition presents a unified description of these insulators from one to three dimensions based on the modified Dirac equation. It derives a series of solutions of the bound states near the boundary, and describes the current status of these solutions. Readers are introduced to topological invariants and their applications to a variety of systems from one-dimensional polyacetylene, to two-dimensional quantum spin Hall effect and p-wave superconductors, three-dimensional topological insulators and superconductors or superfluids, and topological Weyl semimetals, helping them to better understand this fascinating field.
To reflect research advances in topological insulators, several parts of the book have been updated for the second edition, including: Spin-Triplet Superconductors, Superconductivity in Doped Topological Insulators, Detection of Majorana Fermions and so on. In particular, the book features a new chapter on Weyl semimetals, a topic that has attracted considerable attention and has already become a new hotpot of research in the community.
- About the authors
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Professor Shun-Qing Shen, an expert in the field of condensed matter physics, is distinguished for his research works on topological quantum materials, spintronics of semiconductors, quantum magnetism and orbital physics in transition metal oxides, and novel quantum states of condensed matter. He proposed topological Anderson insulator, theory of weak localization and antilocalization for Dirac fermions, spin transverse force, resonant spin Hall effect and the theory of phase separation in colossal magnetoresistive (CMR) materials. He proved the existence of antiferromagnetic long-range order and off-diagonal long-range order in itinerant electron systems.
Professor Shun-Qing Shen has been a professor of physics at The University of Hong Kong since July 2007. Professor Shen received his BS, MS, and PhD in theoretical physics from Fudan University in Shanghai. He was a postdoctorial fellow (1992 – 1995) in China Center of Advanced Science and Technology (CCAST), Beijing, Alexander von Humboldt fellow (1995 – 1997) in Max Planck Institute for Physics of Complex Systems, Dresden, Germany, and JSPS research fellow (1997) in Tokyo Institute of Technology, Japan. In December 1997 he joined Department of Physics, The University of Hong Kong. He was awarded Croucher Senior Research Fellowship (The Croucher Award) in 2010. - Reviews
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“The book presents a comprehensive study of topological insulators and is an interesting attempt to generalize all-possible approaches and methods, developed in this area of condensed matter physics. It can be very useful to graduate students and specialists, studying modern physical problems.” (Ivan A. Parinov, zbMATH 1388.82001, 2018)
- Table of contents (13 chapters)
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Introduction
Pages 1-16
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Starting from the Dirac Equation
Pages 17-32
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Minimal Lattice Model for Topological Insulators
Pages 33-50
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Topological Invariants
Pages 51-79
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Topological Phases in One Dimension
Pages 81-90
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Table of contents (13 chapters)
- Download Sample pages 2 PDF (333.6 KB)
- Download Table of contents PDF (275 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Topological Insulators
- Book Subtitle
- Dirac Equation in Condensed Matter
- Authors
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- Shun-Qing Shen
- Series Title
- Springer Series in Solid-State Sciences
- Series Volume
- 187
- Copyright
- 2017
- Publisher
- Springer Singapore
- Copyright Holder
- Springer Nature Singapore Pte Ltd.
- eBook ISBN
- 978-981-10-4606-3
- DOI
- 10.1007/978-981-10-4606-3
- Hardcover ISBN
- 978-981-10-4605-6
- Softcover ISBN
- 978-981-13-5179-2
- Series ISSN
- 0171-1873
- Edition Number
- 2
- Number of Pages
- XIII, 266
- Number of Illustrations
- 53 b/w illustrations, 10 illustrations in colour
- Topics
