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arXiv · 0803.2868

Topological superfluids with time reversal symmetry

Abstract

It is shown that superfluids in two and three dimensions which have time reversal invariant ground states have phases which are distinguished by a topological invariant. Further, it is shown that the B-phase of $^3$ He is a superfluid in the non-trivial topological class. Superfluids in the non-trivial topological class are shown to have gapless edge states and support various kinds of vortices with zero energy modes localized in their cores. Some of these vortices have non-abelian statistics.

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Rahul Roy. 2008-03-19. Topological superfluids with time reversal symmetry. https://arxiv.org/abs/0803.2868

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