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Topological Classification of Crystalline Insulators through Band Structure Combinatorics

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 …