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A Short Course on Topological Insulators: Band-structure topology and edge states in one and two dimensions

Asbóth, János Károly and Oroszlány, László and Pályi, András (2016) A Short Course on Topological Insulators: Band-structure topology and edge states in one and two dimensions. Lecture Notes in Physics (919). Springer Verlag, Berlin; Heidelberg. ISBN 978-3-319-25605-4

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Abstract

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 band insulators in one and two dimensions. 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. We use 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 model is introduced first and then its properties are discussed and subsequently generalized. 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.

Item Type: Book
Additional Information: MTMT: 3034868 DOI: 10.1007/978-3-319-25607-8
Subjects: Q Science / természettudomány > QC Physics / fizika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 02 Oct 2017 09:38
Last Modified: 02 Oct 2017 09:38
URI: http://real.mtak.hu/id/eprint/64851

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