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

• Main Authors: Asbóth, János K. (Author), Oroszlány, László (Author), Pályi, András (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: Lecture Notes in Physics, 919
• Subjects: Physics.; Solid state physics.; Magnetism.; Magnetic materials.; Semiconductors.; Solid State Physics.; Mathematical Methods in Physics.; Magnetism, Magnetic Materials.

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...

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. .