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A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions (Lecture Notes in Physics)

·    Author: Asbóth János K.; Oroszlány Laszlo; Palyi Andras
·    ISBN 13: 978-3319256054
·    ISBN 10: 331925605X
·    Publisher:  Springer; 1st ed. 2016 edition (March 25, 2016)
·    Date published: 2016
·    Page:     166 p.
·    Key Words:     Tôpô học; Phương trình vi phân; Phương trình vi phân; Topology.
·    Local:     01041000852                          515.3 ASB 2016
·    Phòng DVTT KHTN & KHXH-NV - Kho Tự nhiên tham khảo

     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.