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A Short Course on Topological Insulators
Band Structure and Edge States in One and Two Dimensions
Taschenbuch von János K. Asbóth (u. a.)
Sprache: Englisch

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Beschreibung
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-containedtext, which is complemented by end-of-chapter problems.
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-containedtext, which is complemented by end-of-chapter problems.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Atomphysik & Kernphysik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 180
Reihe: Lecture Notes in Physics
Inhalt: xiii
166 S.
21 s/w Illustr.
23 farbige Illustr.
166 p. 44 illus.
23 illus. in color.
ISBN-13: 9783319256054
ISBN-10: 331925605X
Sprache: Englisch
Herstellernummer: 978-3-319-25605-4
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Asbóth, János K.
Pályi, András Pályi
Oroszlány, László
Auflage: 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Lecture Notes in Physics
Maße: 235 x 155 x 11 mm
Von/Mit: János K. Asbóth (u. a.)
Erscheinungsdatum: 23.02.2016
Gewicht: 0,283 kg
preigu-id: 104210192
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Atomphysik & Kernphysik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 180
Reihe: Lecture Notes in Physics
Inhalt: xiii
166 S.
21 s/w Illustr.
23 farbige Illustr.
166 p. 44 illus.
23 illus. in color.
ISBN-13: 9783319256054
ISBN-10: 331925605X
Sprache: Englisch
Herstellernummer: 978-3-319-25605-4
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Asbóth, János K.
Pályi, András Pályi
Oroszlány, László
Auflage: 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Lecture Notes in Physics
Maße: 235 x 155 x 11 mm
Von/Mit: János K. Asbóth (u. a.)
Erscheinungsdatum: 23.02.2016
Gewicht: 0,283 kg
preigu-id: 104210192
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