Topological Crystalline Insulators

Details Topological Crystalline Insulators Topological Crystalline Insulators

2010-10-09

arxiv.org/abs/1010.1802v3

Phys. Rev. Lett. 106, 106802 (2011)

Physics

Condensed Matter

Materials Science

published version, added an appendix on the stability of surface states

Scientific paper

10.1103/PhysRevLett.106.106802

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point group symmetry of crystals. We find a class of three-dimensional "topological crystalline insulators" which have metallic surface states on certain high symmetry crystal surfaces. These topological crystalline insulators can be viewed as the counterpart of topological insulators in materials without spin-orbit coupling. Their surface states have quadratic band degeneracy instead of linear Dirac dispersion. Their band structures are characterized by new Z2 invariants. We hope this work will enlarge the family of topological phases in band insulators and stimulate the search for them in real materials.

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