A Short Course on Topological Insulators Band Structure and Edge States in One and Two Dimensions /

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 s...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Asbóth, János K. (Συγγραφέας), Oroszlány, László (Συγγραφέας), Pályi, András (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
Έκδοση:1st ed. 2016.
Σειρά:Lecture Notes in Physics, 919
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Asbóth, János K.  |e author. 
245 1 2 |a A Short Course on Topological Insulators  |h [electronic resource] :  |b Band Structure and Edge States in One and Two Dimensions /  |c by János K. Asbóth, László Oroszlány, András Pályi. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XIII, 166 p. 44 illus., 23 illus. in color.  |b online resource. 
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490 1 |a Lecture Notes in Physics,  |x 0075-8450 ;  |v 919 
505 0 |a 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. . 
520 |a 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. 
650 0 |a Physics. 
650 0 |a Solid state physics. 
650 0 |a Magnetism. 
650 0 |a Magnetic materials. 
650 0 |a Semiconductors. 
650 1 4 |a Physics. 
650 2 4 |a Solid State Physics. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Magnetism, Magnetic Materials. 
650 2 4 |a Semiconductors. 
700 1 |a Oroszlány, László.  |e author. 
700 1 |a Pályi, András.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319256054 
830 0 |a Lecture Notes in Physics,  |x 0075-8450 ;  |v 919 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-25607-8  |z Full Text via HEAL-Link 
912 |a ZDB-2-PHA 
912 |a ZDB-2-LNP 
950 |a Physics and Astronomy (Springer-11651)