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Topological Superconductivity and Superfluidity

2008/03/25 by Xiao-Liang Qi, Taylor L. Hughes, Srinivas Raghu +1 · 2 citations
Physics and Astronomy · #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.102.187001

published as Phys. Rev. Lett. 102, 187001 (2009) · 5 pages, 3 figures

arxiv created 2008/03/25 · arxiv updated 2013/05/29

Abstract

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 Z2 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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