ENGLISH

A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions

By János K. Asbóth , László Oroszlány , András Pályi (auth.)

Book information

Publisher
Springer International Publishing
Year
2016
ISBN
978-3-319-25605-4, 978-3-319-25607-8
DOI
10.1007/978-3-319-25607-8
Language
english
Format
PDF
Filesize
3 MB (3396698 bytes)
Series
Lecture Notes in Physics 919
Edition
1
Pages
XIII, 166\176
Time added
2016-03-14 21:35:01
Magnetic Materials; SemiconductorsSolid State Physics; Mathematical Methods in Physi

Description

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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