Lecture Notes in Physics

A Short Course on Topological Insulators

Band Structure and Edge States in One and Two Dimensions

Authors: Asbóth, János K., Oroszlány, László, Pályi, András

  • Self-contained, course-based presentation
  • Authored by leading specialists in the field
  • Suitable both as advanced textbook and as self-study guide
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eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-319-25607-8
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-319-25605-4
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  • Usually dispatched within 3 to 5 business days.
About this book

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.

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Table of contents (10 chapters)

  • The Su-Schrieffer-Heeger (SSH) Model

    Asbóth, János K. (et al.)

    Pages 1-22

  • Berry Phase, Chern Number

    Asbóth, János K. (et al.)

    Pages 23-44

  • Polarization and Berry Phase

    Asbóth, János K. (et al.)

    Pages 45-53

  • Adiabatic Charge Pumping, Rice-Mele Model

    Asbóth, János K. (et al.)

    Pages 55-68

  • Current Operator and Particle Pumping

    Asbóth, János K. (et al.)

    Pages 69-83

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-319-25607-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-319-25605-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Short Course on Topological Insulators
Book Subtitle
Band Structure and Edge States in One and Two Dimensions
Authors
Series Title
Lecture Notes in Physics
Series Volume
919
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-25607-8
DOI
10.1007/978-3-319-25607-8
Softcover ISBN
978-3-319-25605-4
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XIII, 166
Number of Illustrations and Tables
21 b/w illustrations, 23 illustrations in colour
Topics