By János K. Asbóth,László Oroszlány,András Pályi Pályi
the purpose is to supply a simple knowing of facet 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 types of topological insulators, development steadily on those to reach from the best 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 easy toy versions is through the formula of the overall arguments relating to topological insulators.
the one prerequisite for the reader is a operating wisdom in quantum mechanics, the correct good kingdom physics heritage is supplied as a part of this self-contained textual content, that's complemented by means of end-of-chapter problems.
Read or Download A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions (Lecture Notes in Physics) PDF
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A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions (Lecture Notes in Physics) by János K. Asbóth,László Oroszlány,András Pályi Pályi