Topological Classification of Crystalline Insulators through Band Structure Combinatorics

The celebrated ``tenfold way'' provides a scheme for categorizing general topological states of matter, but it does not take into account the crystal symmetries that always exist in real materials. A new method extends this organization to allow the categorization of all topologically distinct electronic band structures in materials with only crystal symmetries for any number of physically relevant dimensions.

• SF
  Simons Foundation
• MV
  Ministerie van Onderwijs, Cultuur en Wetenschap
• NO
  Nederlandse Organisatie voor Wetenschappelijk Onderzoek