Overview
- 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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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.
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.
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Reviews
Authors and Affiliations
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: https://doi.org/10.1007/978-3-319-25607-8
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