English

A toy model for quantum spin Hall effect

Mesoscale and Nanoscale Physics 2015-07-01 v9 Other Condensed Matter

Abstract

In this Communication, we investigate a toy model of three-dimensional topological insulator surface, coupled homogeneously to a fictitious pseudo spin-12\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.

Keywords

Cite

@article{arxiv.1501.02643,
  title  = {A toy model for quantum spin Hall effect},
  author = {S. A. Owerre and J. Nsofini},
  journal= {arXiv preprint arXiv:1501.02643},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T07:58:20.546Z