Advertisement

A Short Course on Topological Insulators

Band Structure and Edge States in One and Two Dimensions

  • János K. Asbóth
  • László Oroszlány
  • András Pályi

Part of the Lecture Notes in Physics book series (LNP, volume 919)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. János K. Asbóth, László Oroszlány, András Pályi
    Pages 1-22
  3. János K. Asbóth, László Oroszlány, András Pályi
    Pages 23-44
  4. János K. Asbóth, László Oroszlány, András Pályi
    Pages 45-53
  5. János K. Asbóth, László Oroszlány, András Pályi
    Pages 55-68
  6. János K. Asbóth, László Oroszlány, András Pályi
    Pages 69-83
  7. János K. Asbóth, László Oroszlány, András Pályi
    Pages 85-98
  8. János K. Asbóth, László Oroszlány, András Pályi
    Pages 99-117
  9. János K. Asbóth, László Oroszlány, András Pályi
    Pages 119-138
  10. János K. Asbóth, László Oroszlány, András Pályi
    Pages 139-152
  11. János K. Asbóth, László Oroszlány, András Pályi
    Pages 153-163
  12. Back Matter
    Pages 165-166

About this book

Introduction

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.

Keywords

2D Materials Egde and Boundary States Quantum Hall Insulators SSH Model of Topological Insulators Time-reversal Symmetry Topological Insulators Explained Topological Insulators Textbook

Authors and affiliations

  • János K. Asbóth
    • 1
  • László Oroszlány
    • 2
  • András Pályi
    • 3
  1. 1.Hungarian Academy of SciencesWigner Research Centre for PhysicsBudapestHungary
  2. 2.Department of Physics of Complex SystemsEötvös Loránd UniversityBudapestHungary
  3. 3.Dept of Mat. Phy; Dept of PhysicsBud. Univ of Tech and Econ; Eotvos LoranBudapestHungary

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-25607-8
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-25605-4
  • Online ISBN 978-3-319-25607-8
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
Industry Sectors
Chemical Manufacturing
Electronics
Oil, Gas & Geosciences