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A Short Course on Topological Insulators

Band Structure and Edge States in One and Two Dimensions

  • Book
  • © 2016


  • Self-contained, course-based presentation
  • Authored by leading specialists in the field
  • Suitable both as advanced textbook and as self-study guide

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

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Table of contents (10 chapters)


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-containedtext, which is complemented by end-of-chapter problems.



Authors and Affiliations

  • Hungarian Academy of Sciences, Wigner Research Centre for Physics, Budapest, Hungary

    János K. Asbóth

  • Department of Physics of Complex Systems, Eötvös Loránd University, Budapest, Hungary

    László Oroszlány

  • Dept of Mat. Phy; Dept of Physics, Bud. Univ of Tech and Econ; Eotvos Loran, Budapest, Hungary

    András Pályi

About the authors


Bibliographic Information

  • Book Title: A Short Course on Topological Insulators

  • Book Subtitle: Band Structure and Edge States in One and Two Dimensions

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

  • Series Title: Lecture Notes in Physics

  • DOI:

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Softcover ISBN: 978-3-319-25605-4Published: 23 February 2016

  • eBook ISBN: 978-3-319-25607-8Published: 22 February 2016

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XIII, 166

  • Number of Illustrations: 21 b/w illustrations, 23 illustrations in colour

  • Topics: Solid State Physics, Mathematical Methods in Physics, Magnetism, Magnetic Materials, Semiconductors

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