Topological Insulators: Dirac Equation in Condensed Matter

by Shun-Qing Shen

Overview

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.

Product Details

ISBN-13:	9789811351792
Publisher:	Springer Nature Singapore
Publication date:	12/09/2018
Series:	Springer Series in Solid-State Sciences , #187
Edition description:	Softcover reprint of the original 2nd ed. 2017
Pages:	266
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

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.

Table of Contents

Introduction.- Starting from the Dirac equation.- Minimal lattice model for topological insulator.- Topological invariants.- Topological phases in one dimension.- Quantum anomalous Hall effect and Quantum spin Hall effect.- Three-dimensional topological insulators.- Impurities and defects in topological insulators.- Topological superconductors and superfluids.- Majorana fermions in topological insulators.- Topological Dirac and Weyl Semimetals.- Topological Anderson Insulator.- Summary: Symmetry and Topological Classification.

Editorial Reviews

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)

From the Publisher