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010 _a 2019754956
020 _a9783319256054
024 7 _a10.1007/978-3-319-25607-8
_2doi
035 _a(DE-He213)978-3-319-25607-8
040 _aDLC
_beng
_epn
_erda
_cDLC
072 7 _aPNFS
_2bicssc
072 7 _aPNFS
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072 7 _aSCI077000
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082 0 4 _a530.41
_223
_bASB
100 1 _aAsbóth, János K,
_eauthor.
_91127
245 1 2 _aA Short Course on Topological Insulators :
_bBand Structure and Edge States in One and Two Dimensions /
_cby János K. Asbóth, László Oroszlány, András Pályi Pályi.
250 _a1st ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _a1 online resource (XIII, 166 pages 44 illustrations, 23 illustrations in color.)
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.
588 _aDescription based on publisher-supplied MARC data.
650 0 _aMagnetic materials.
650 0 _aMagnetism.
_9387
650 0 _aPhysics.
_962
650 0 _aSemiconductors.
_92434
650 0 _aSolid state physics.
_9238
650 1 4 _aSolid State Physics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P25013
_9238
650 2 4 _aMagnetism, Magnetic Materials.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P25129
_91121
650 2 4 _aMathematical Methods in Physics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P19013
_92492
650 2 4 _aSemiconductors.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P25150
_92434
700 1 _aOroszlány, László,
_eauthor.
_92493
700 1 _aPályi, András Pályi,
_eauthor.
_92494
776 0 8 _iPrint version:
_tA short course on topological insulators : band-structure and edge states in one and two dimensions
_z9783319256054
_w(DLC) 2015960963
776 0 8 _iPrinted edition:
_z9783319256054
776 0 8 _iPrinted edition:
_z9783319256061
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v919
_92495
906 _a0
_bibc
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_du
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