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Title
A short course on topological insulators [electronic resource] : band structure and edge states in one and two dimensions / János K. Asbóth, László Oroszlány, András Pályi.
ISBN
9783319256078 (electronic book)
3319256076 (electronic book)
9783319256054
Published
Cham : Springer, 2016.
Language
English
Description
1 online resource (xiii, 166 pages) : illustrations.
Item Number
10.1007/978-3-319-25607-8 doi
Call Number
QA611.5
Dewey Decimal Classification
515/.39
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 1, 2016).
Series
Lecture notes in physics ; 919.
The Su-Schrieffer-Heeger (SSH) model
Berry phase, Chern Number
Polarization and Berry Phase.- Adiabatic charge pumping, Rice-Mele model.- Current operator and particle pumping.- Two-dimensional Chern insulators
the Qi-Wu-Zhang model.- Continuum model of localized states at a domain wall.- Time-reversal symmetric two-dimensional topological insulators
the Bernevig-Hughes-Zhang model.-The Z2 invariant of two-dimensional topological insulators.- Electrical conduction of edge states.
