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2019754956
9783319256054
10.1007/978-3-319-25607-8
doi
(DE-He213)978-3-319-25607-8
DLC
eng
pn
rda
DLC
PNFS
bicssc
PNFS
thema
SCI077000
bisacsh
530.41
23
ASB
Asbóth, János K,
author.
1127
A Short Course on Topological Insulators :
Band Structure and Edge States in One and Two Dimensions /
by János K. Asbóth, László Oroszlány, András Pályi Pályi.
1st ed. 2016.
Cham :
Springer International Publishing :
Imprint: Springer,
2016.
1 online resource (XIII, 166 pages 44 illustrations, 23 illustrations in color.)
text
txt
rdacontent
computer
c
rdamedia
online resource
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rdacarrier
text file
PDF
rda
Lecture Notes in Physics,
0075-8450 ;
919
The 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.
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.
Description based on publisher-supplied MARC data.
Magnetic materials.
Magnetism.
387
Physics.
62
Semiconductors.
2434
Solid state physics.
238
Solid State Physics.
https://scigraph.springernature.com/ontologies/product-market-codes/P25013
238
Magnetism, Magnetic Materials.
https://scigraph.springernature.com/ontologies/product-market-codes/P25129
1121
Mathematical Methods in Physics.
https://scigraph.springernature.com/ontologies/product-market-codes/P19013
2492
Semiconductors.
https://scigraph.springernature.com/ontologies/product-market-codes/P25150
2434
Oroszlány, László,
author.
2493
Pályi, András Pályi,
author.
2494
Print version:
A short course on topological insulators : band-structure and edge states in one and two dimensions
9783319256054
(DLC) 2015960963
Printed edition:
9783319256054
Printed edition:
9783319256061
Lecture Notes in Physics,
0075-8450 ;
919
2495
0
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2021-08-30 00:00:00
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