Topological Insulators

Dirac Equation in Condensed Matter

  • Shun-Qing Shen

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 187)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Shun-Qing Shen
    Pages 1-16
  3. Shun-Qing Shen
    Pages 17-32
  4. Shun-Qing Shen
    Pages 51-79
  5. Shun-Qing Shen
    Pages 81-90
  6. Shun-Qing Shen
    Pages 125-152
  7. Shun-Qing Shen
    Pages 173-187
  8. Shun-Qing Shen
    Pages 189-206
  9. Shun-Qing Shen
    Pages 207-229
  10. Shun-Qing Shen
    Pages 231-241
  11. Back Matter
    Pages 251-266

About this book


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. 


Su-Schrieffer-Heeger Model Topological Quantum Material Topological Superconductor Topological Weyl Semimetal Majorana Fermions in Topological Insulators Quantum Spin Hall Effect Weyl semimetals

Authors and affiliations

  • Shun-Qing Shen
    • 1
  1. 1.Department of PhysicsThe University of Hong KongHong KongChina

Bibliographic information

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