Topological effects on transition temperatures and response functions in three-dimensional Fermi superfluids

preprint2015arXivOpen access

Abstract

We investigate the effects of topological order on the transition temperature, TcT_c, and response functions in fermionic superfluids with Rashba spin-orbit coupling and a transverse Zeeman field in three dimensions. Our calculations, relevant to the ultracold atomic Fermi gases, include fluctuations beyond mean-field theory and are compatible with ff-sum rules. Reminiscent of the px+ipyp_x + i p_y superfluid, the topological phase is stabilized when driven away from the Bose-Einstein condensation and towards the BCS limit. Accordingly, while experimentally accessible, TcT_c is significantly suppressed in a topological superfluid. Above TcT_c, the spin and density response functions provide signatures of topological phases via the recombination or amplification of frequency dependent peaks.

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