By János K. Asbóth,László Oroszlány,András Pályi Pályi
the purpose is to supply a uncomplicated figuring out of part states, bulk topological invariants, and of the bulk--boundary correspondence with as easy mathematical instruments as possible.
the current strategy makes use of noninteracting lattice types of topological insulators, construction 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 straightforward toy versions is by way of the formula of the final arguments relating to topological insulators.
the one prerequisite for the reader is a operating wisdom in quantum mechanics, the proper sturdy nation physics historical past is supplied as a part of this self-contained textual content, that is complemented via 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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