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020 _a9783319256078
_9978-3-319-25607-8
024 7 _a10.1007/978-3-319-25607-8
_2doi
050 4 _aQC176-176.9
072 7 _aPNFS
_2bicssc
072 7 _aSCI077000
_2bisacsh
072 7 _aPNFS
_2thema
082 0 4 _a530.41
_223
100 1 _aAsbóth, János K.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 2 _aA Short Course on Topological Insulators
_h[electronic resource] :
_bBand Structure and Edge States in One and Two Dimensions /
_cby János K. Asbóth, László Oroszlány, András Pályi.
250 _a1st ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXIII, 166 p. 44 illus., 23 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v919
505 0 _aThe Su-Schrieffer-Heeger (SSH) model -- Berry phase, Chern Number -- Polarization and Berry Phase -- Adiabatic charge pumping, Rice-Mele model -- Current operator and particle pumping -- Two-dimensional Chern insulators – the Qi-Wu-Zhang model -- Continuum model of localized states at a domain wall -- Time-reversal symmetric two-dimensional topological insulators – the Bernevig–Hughes–Zhang model.-The Z2 invariant of two-dimensional topological insulators -- Electrical conduction of edge states. .
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.
650 0 _aMathematical physics.
650 0 _aMagnetism.
650 1 4 _aSolid State Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P25013
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aMagnetism, Magnetic Materials.
_0http://scigraph.springernature.com/things/product-market-codes/P25129
650 2 4 _aSemiconductors.
_0http://scigraph.springernature.com/things/product-market-codes/P25150
700 1 _aOroszlány, László.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPályi, András.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319256054
776 0 8 _iPrinted edition:
_z9783319256061
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v919
856 4 0 _uhttps://doi.org/10.1007/978-3-319-25607-8
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c11855
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