A Short Course on Topological Insulators : Band Structure and Edge States in One and Two Dimensions
Cham : Springer International Publishing : Imprint: Springer, 2016
Abstract/Sommario:
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-dimension ...; [leggi tutto]
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Descrizione | A Short Course on Topological Insulators : Band Structure and Edge States in One and Two Dimensions / by János K. Asbóth, László Oroszlány, András Pályi. - 1st ed. 2016. - Cham : Springer International Publishing : Imprint: Springer, 2016. - XIII, 166 p. 44 ill., 23 ill. in color ; online resource. - (Lecture Notes in Physics ; 919) |
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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.. - Springer eBooks. - Printed edition: 9783319256054
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ID scheda | 139078 |
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