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

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Synopsis

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.

Science & MathematicsPhysicsElectricity, electromagnetism & magnetismScience & MathematicsPhysicsMathematical physicsScience & MathematicsPhysicsStates of matterTechnicalElectronics & communications engineeringElectronics engineeringElectronic devices & materials Publisher: Springer International Publishing AG Publication Date: 23/02/2016 ISBN-13: 9783319256054  Details: Type: Paperback Format: Books
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