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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 (Part 1)

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. The first part of the QSHE paper covered introduction, phenomenology, the Bernevig-Hughes-Zhang (BHZ) model, and transport experiments on HgTe/CdTe quantum wells. The next journal club meeting will cover the second half: Landau level inversion, theory of helical edge states, effects of disorder and interactions, fractional charge, spin-charge separation, and finally introduction to 3D topological insulators.

The presentation slides for this journal club meeting can be found in the PDF file here. To see the animated features you can find the PowerPoint slides 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.