# Periodic table for topological insulators and superconductors

@article{Kitaev2009PeriodicTF, title={Periodic table for topological insulators and superconductors}, author={Alexei Y. Kitaev}, journal={arXiv: Mesoscale and Nanoscale Physics}, year={2009} }

Gapped phases of noninteracting fermions, with and without charge conservation and time-reversal symmetry, are classified using Bott periodicity. The symmetry and spatial dimension determines a general universality class, which corresponds to one of the 2 types of complex and 8 types of real Clifford algebras. The phases within a given class are further characterized by a topological invariant, an element of some Abelian group that can be 0, Z, or Z_2. The interface between two infinite phases…

## 1,221 Citations

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