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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...

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Main Authors: Asbóth, János K. (Author, http://id.loc.gov/vocabulary/relators/aut), Oroszlány, László. (http://id.loc.gov/vocabulary/relators/aut), Pályi, András Pályi. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Lecture Notes in Physics, 919
Subjects:
Solid state physics.
Physics.
Magnetism.
Magnetic materials.
Semiconductors.
Solid State Physics.
Mathematical Methods in Physics.
Magnetism, Magnetic Materials.
Online Access:https://doi.org/10.1007/978-3-319-25607-8
Table of Contents:
  • 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. .

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