A toy model for quantum spin Hall effect

Abstract

In this Communication, we investigate a toy model of three-dimensional topological insulator surface, coupled homogeneously to a fictitious pseudo spin-$\frac{1}{2}$ particle. We show that this toy model captures the interesting features of topological insulator surface states, which include topological quantum phase transition and quantum spin hall effect. We further incorporate an out-of-plane magnetic field and obtain the Landau levels.

6 pages, 4 figures. Revised version to appear in Solid State Communications

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Cited by in corpus (3)

• Current-induced switching of magnetic molecules on topological insulator surfaces
• Chiral magnetic conductivity and surface states of Weyl semimetals in topological insulator ultra-thin film multilayer
• Weyl semimetal in ultra-thin film of topological insulator multilayer