Topological Crystalline Insulators

2010/10/31 by Liang Fu · 4 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Graphene research and applications #Topological Materials and Phenomena #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevlett.106.106802

published as Phys. Rev. Lett. 106, 106802 (2011) · published version, added an appendix on the stability of surface states

openalex publication_date 2011/03/08 · arxiv created 2011/03/12 · arxiv updated 2011/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

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

Citations

• Topological phases and the quantum spin Hall effect in three dimensions
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Insulators with Inversion Symmetry
• Entanglement spectrum of a topological phase in one dimension
• The birth of topological insulators
• Topological Insulators
• Quantum orders and symmetric spin liquids

Cited by

• Wilson polygons and the topology of zero-dimensional systems
• Classification of symmetry enriched topological phases with exactly solvable models
• Angle-resolved photoemission studies of quantum materials
• Nonsymmorphic Topological Phases of Non-Hermitian Systems