A Short Course on Topological Insulators: Band Structure and by János K. Asbóth,László Oroszlány,András Pályi Pályi

By János K. Asbóth,László Oroszlány,András Pályi Pályi

This course-based primer offers novices to the sphere with a concise creation to a couple of the middle themes within the rising box of topological insulators.

the purpose is to supply a simple realizing of area states, bulk topological invariants, and of the bulk--boundary correspondence with as uncomplicated mathematical instruments as possible. 

the current technique makes use of noninteracting lattice types of topological insulators, development progressively on those to reach from the easiest one-dimensional case (the Su-Schrieffer-Heeger version for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang version for HgTe). In every one case the dialogue of straightforward toy versions is through the formula of the final arguments relating to topological insulators.

the one prerequisite for the reader is a operating wisdom in quantum mechanics, the suitable reliable country physics history is equipped as a part of this self-contained textual content, that's complemented through end-of-chapter problems.

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