TY - BOOK ID - 7615147 TI - A Short Course on Topological Insulators : Band Structure and Edge States in One and Two Dimensions AU - Asbóth, János K. AU - Oroszlány, László. AU - Pályi, András Pályi. PY - 2016 SN - 331925605X 3319256076 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Atomic Physics KW - Physics KW - Physical Sciences & Mathematics KW - Mathematical physics. KW - Magnetism. KW - Solid State Physics. KW - Mathematical Methods in Physics. KW - Magnetism, Magnetic Materials. KW - Semiconductors. KW - Physical mathematics KW - Mathematical physics KW - Electricity KW - Magnetics KW - Mathematics KW - Topological insulators. KW - Topological manifolds. KW - Solid state physics. KW - Physics. KW - Magnetic materials. KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics KW - Solids KW - Crystalline semiconductors KW - Semi-conductors KW - Semiconducting materials KW - Semiconductor devices KW - Crystals KW - Electrical engineering KW - Electronics KW - Solid state electronics KW - Materials UR - https://www.unicat.be/uniCat?func=search&query=sysid:7615147 AB - 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. ER -