03847cam a22005295i 45000010009000000050017000090060019000260070015000450080041000600100017001010200018001180240035001360350032001710400027002030720017002300720016002470720023002630820020002861000034003062450182003402500018005222640075005403000085006153360026007003370026007263380036007523470024007884900048008125050505008605201027013655880055023926500024024476500015024716500013024866500020024996500025025196500101025446500111026456500113027566500096028697000038029657000040030037760154030437760036031977760036032338300048032692173729120230518094610.0m |o d | cr |||||||||||160222s2016 gw |||| o |||| 0|eng a 2019754956 a97833192560547 a10.1007/978-3-319-25607-82doi a(DE-He213)978-3-319-25607-8 aDLCbengepnerdacDLC 7aPNFS2bicssc 7aPNFS2thema 7aSCI0770002bisacsh04a530.41223bASB1 aAsbóth, János K,eauthor.12aA Short Course on Topological Insulators :bBand Structure and Edge States in One and Two Dimensions /cby János K. Asbóth, László Oroszlány, András Pályi Pályi. a1st ed. 2016. 1aCham :bSpringer International Publishing :bImprint: Springer,c2016. a1 online resource (XIII, 166 pages 44 illustrations, 23 illustrations in color.) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aLecture Notes in Physics,x0075-8450 ;v9190 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. 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. aDescription based on publisher-supplied MARC data. 0aMagnetic materials. 0aMagnetism. 0aPhysics. 0aSemiconductors. 0aSolid state physics.14aSolid State Physics.0https://scigraph.springernature.com/ontologies/product-market-codes/P2501324aMagnetism, Magnetic Materials.0https://scigraph.springernature.com/ontologies/product-market-codes/P2512924aMathematical Methods in Physics.0https://scigraph.springernature.com/ontologies/product-market-codes/P1901324aSemiconductors.0https://scigraph.springernature.com/ontologies/product-market-codes/P251501 aOroszlány, László,eauthor.1 aPályi, András Pályi,eauthor.08iPrint version:tA short course on topological insulators : band-structure and edge states in one and two dimensionsz9783319256054w(DLC) 201596096308iPrinted edition:z978331925605408iPrinted edition:z9783319256061 0aLecture Notes in Physics,x0075-8450 ;v919