000			01976nam a2200337Ia 4500
003			OSt
005			20240608020503.0
008			230817s9999 xx 000 0 und d
020			_a9783319256054
040			_cIISER BPR
041			_aENG
082			_a530.41 _bASB _223rd
100			_aAsboth, Janos K.
222			_aPhysics
245		2	_aA short course on topological insulators : _bBand structure and edge states in one and two dimensions
250			_a1st. ed
260			_aSwitzerland: _bSpringer, _cc2016.
300			_axiii, 166p. : _bill (col). ; _c22cm.
440			_aLecture notes in physics ; _vVol. 919
520			_aThis 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. Includes References
650			_aMathematics
650			_aAnalysis
650			_aTopology
650			_aTopological manifolds
650			_aTopological dynamics
700			_aOroszlány, László
700			_aPályi, András
942			_cBK _2ddc _01
947			_a3625.381428
948			_a0.22
999			_c3136 _d3136