Tight-binding model for topological insulators: Analysis of helical surface modes over the whole Brillouin zone

Shijun Mao, Ai Yamakage, Yoshio Kuramoto

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

A tight-binding model is constructed for Bi2Se3-type topological insulators with rhombohedral crystal structure. The model takes full account of the spin-orbit interaction, and realizes both strong (S) and weak (W) topological insulators (TIs) depending on the mass parameter that causes the band inversion. It is found that there are two separate STIs with either a single or three Dirac cones on the surface, while the WTI realizes either zero or four surface Dirac cones keeping the same Z2 indices. Closing of the bulk direct gap gives rise to transition between either STI and WTI, or TI and an ordinary insulator. On the other hand, closing of the indirect gap keeps intact the surface Dirac cones in both STIs and WTIs. As a result, helical modes can remain even in semimetals. It is found that reentrant helical modes appear in finite-momentum regions in some cases in STIs, and even in ordinary insulators with strong particle-hole asymmetry. All results are obtained analytically.

Original languageEnglish
Article number115413
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume84
Issue number11
DOIs
Publication statusPublished - 2011 Sep 13

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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