Joseph Maciejko, Taylor L. Hughes, and Shou-Cheng Zhang. “The Quantum Spin Hall Effect.” Annual Reviews of Condensed Matter Physics 2, no. 1 (2011): 31-53.

The Quantum Spin Hall Effect

Presenter: Tejas Deshpande

Date(s): 13 January 2013

Description: The Quantum Spin Hall Effect (QSHE) is fundamental to the study of any type of (non-interacting) topological insulators and time-reversal invariant topological superconductors. The mathematical details of systems which are not strictly time-reversal invariant 2D topological insulators may vary; the QSHE, however, develops the conceptual formalism to analyze these different systems. For interacting systems we have Bernevig-Hughes-Zhang-Hubbard (BHZH) and Kane-Mele-Hubbard (KMH) models; however, they are subjects of later papers.

The presentation slides for this journal club meeting can be found in the PDF file here. If you notice any typos or scientific inaccuracies, I would be grateful if you could bring them to my attention by sending me an email. The material that I referred to (other papers, theses, etc.) and produced (MATLAB scripts, notes, slides) while I was preparing this presentation can be found in a zip file here. The MATLAB scripts compute the bulk bandstructures of HgTe and CdTe as a function of spin-orbit coupling strength. By “bulk” I mean a 3D macroscopic solid; i.e. not the bulk of a quantum well or wire. The bandstructures were computed using the Slater-Koster tight-binding method with spin-orbit interaction introduced perturbatively using phenomenological parameters.