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Topological invariants of time reversal invariant superconductors

arXiv:cond-mat/0608064

Abstract

The topological invariants of gapped time reversal invariant lattice superconductors are studied by mapping the superconducting mean field Hamiltonian to a Bloch Hamiltonian. There is a single $Z_2 $ invariant in two dimensions and four such invariants in three dimensions. We briefly discuss the properties of states with non-trivial topological invariants.

brief note on topological invariants for superconductors