EAN: 9783319256054

A SHORT COURSE ON TOPOLOGICAL INSULATORS - JÁNO...

This course-based primer provides newcomers to the field with a concise introduction to some of
the core topics in the emerging field of topological insulators. The aim is to provide a basic
understanding of edge states  bulk topological invariants  and of the bulk--boundary
correspondence with as simple mathematical tools as possible. The present approach uses
noninteracting lattice models of topological insulators  building gradually on these to arrive
from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to
two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model
for HgTe). In each case the discussion of simple toy models is followed by the formulation of
the general arguments regarding topological insulators. The only prerequisite for the reader is
a working knowledge in quantum mechanics  the relevant solid state physics background is
provided as part of this self-contained text  which is complemented by end-of-chapter problems.

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