Topological Superconductivity and Superfluidity

Details Topological Superconductivity and Superfluidity Topological Superconductivity and Superfluidity

2008-03-25

arxiv.org/abs/0803.3614v1

Phys. Rev. Lett. 102, 187001 (2009)

Physics

Condensed Matter

Superconductivity

5 pages, 3 figures

Scientific paper

We construct time reversal invariant topological superconductors and superfluids in two and three dimensions which are analogous to the recently discovered quantum spin Hall and three-d $Z_2$ topological insulators respectively. These states have a full pairing gap in the bulk, gapless counter-propagating Majorana states at the boundary, and a pair of Majorana zero modes associated with each vortex. We show that the time reversal symmetry naturally emerges as a supersymmetry, which changes the parity of the fermion number associated with each time-reversal invariant vortex. In the presence of external T-breaking fields, non-local topological correlation is established among these fields, which is an experimentally observable manifestation of the emergent supersymmetry.

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