This course-based primer offers novices to the sector with a concise advent to a few of the middle themes within the rising box of topological insulators.
the purpose is to supply a simple figuring out of aspect states, bulk topological invariants, and of the bulk--boundary correspondence with as basic mathematical instruments as possible.
the current procedure makes use of noninteracting lattice versions of topological insulators, construction progressively 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 each one case the dialogue of easy toy types is by way of the formula of the overall arguments concerning topological insulators.
the one prerequisite for the reader is a operating wisdom in quantum mechanics, the correct strong kingdom physics heritage is equipped as a part of this self-contained textual content, that is complemented by means of end-of-chapter difficulties.
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