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A Short Course on Topological Insulators
János K. Asbóth
László Oroszlány
András Pályi Pályi
其他書名
Band Structure and Edge States in One and Two Dimensions
出版
Springer
, 2016-02-22
主題
Science / Physics / Condensed Matter
Science / Physics / Mathematical & Computational
Science / Physics / Magnetism
Technology & Engineering / Electronics / Semiconductors
Science / Chemistry / Analytic
Science / Physics / Atomic & Molecular
Science / Physics / Electricity
Technology & Engineering / Superconductors & Superconductivity
ISBN
3319256076
9783319256078
URL
http://books.google.com.hk/books?id=RWKhCwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.