Stability of the X-Y phase of the two-dimensional C-4 point group insulator

Bart de Leeuw*, Carolin Kuppersbusch, Vladimir Juricic, Lars Fritz

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Noninteracting insulating electronic states of matter can be classified according to their symmetries in terms of topological invariants which can be related to effective surface theories. These effective surface theories are in turn topologically protected against the effects of disorder. Topological crystalline insulators are, on the other hand, trivial in the sense of the above classification but still possess surface modes. In this paper we consider an extension of the Bernevig-Hughes-Zhang model that describes a point group insulator. We explicitly show that the surface properties of this state can be as robust as in topologically nontrivial insulators but only if the S-z component of the spin is conserved. However, in the presence of Rashba spin-orbit coupling this protection vanishes, and the surface states localize, even if the crystalline symmetries are intact on average.

Original languageEnglish
Article number235430
Number of pages6
JournalPhysical review. B, Condensed matter and materials physics
Volume91
Issue number23
DOIs
Publication statusPublished - 18 Jun 2015

Funding

We thank M. Wimmer and J. Frank for helpful discussions. We acknowledge funding from the DFG Grant No. FR 2627/3-1 (C.K. and L.F.). This work is part of the D-ITP consortium, a program of the Netherlands Organisation for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW). V.J. acknowledges financial support from the NWO.

Keywords

  • TOPOLOGICAL CRYSTALLINE INSULATOR
  • HGTE QUANTUM-WELLS
  • SINGLE DIRAC CONE
  • EXPERIMENTAL REALIZATION
  • TRANSITION
  • SURFACE
  • BI2TE3
  • SNTE

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