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 rookies to the sphere with a concise creation to a few of the middle issues within the rising box of topological insulators.

the purpose is to supply a easy figuring out of aspect states, bulk topological invariants, and of the bulk--boundary correspondence with as easy mathematical instruments as possible. 

the current technique makes use of noninteracting lattice versions of topological insulators, development steadily 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 by way of the formula of the final arguments concerning topological insulators.

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

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