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Journal of Low Temperature Physics

Stationary Vortices and Pair Currents in a Trapped Fermion Superfluid

P. Capuzzi, E. Susana Hernández, L. Szybisz

Published Jan 14, 2015• 0 citations
Publisher
DOI
10.1007/s10909-014-1271-9

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In order to help detecting superfluidity, we theoretically investigate p-wave pairing superfluids in neutral Fermion atom gases confined by a three dimensimentional (3D) harmonic potential. The Ginzburg-Landau framework, which is generic for p-wave superfluids, is used to describe the order parameter spatial structure, or texture characterized by the l-vector both at rest and under rotation. The l-vector configuration is strongly contrained by the boundary condition due to a trap. It is found that the ground state textures exhibit spontaneous supercurrent at rest both cigar and pancake shape traps. The current direction depends on the trapping shape. Under rotation a pair of half-quantum vortex with half-winding number enters a system and is stabilized for both trap geometries. We give detailed explanation for their 3D structure. The deformations of the condensate shape are seen with increasing the rotation speed, which is tightly connected with the underlying vortex formation where the condensates are depressed in the vortex core.
We study the structure of Bogoliubov quasiparticles, bogolons, the fermionic excitations of paired superfluids that arise from fermion (BCS) pairing, including neutral superfluids, superconductors, and paired quantum Hall states. The naive construction of a stationary quasiparticle in which the deformation of the pair field is neglected leads to a contradiction: it carries a net electrical current even though it does not move. However, treating the pair field self-consistently resolves this problem: in a neutral superfluid, a dipolar current pattern is associated with the quasiparticle for which the total current vanishes. When Maxwell electrodynamics is included, as appropriate to a superconductor, this pattern is confined over a penetration depth. For paired quantum Hall states of composite fermions, the Maxwell term is replaced by a Chern-Simons term, which leads to a dipolar charge distribution and consequently to a dipolar current pattern.
Based on the Ginzburg-Landau framework, we find that ppp-wave superfluids of neutral atom gases in three-dimensional harmonic traps exhibit spontaneous mass current at rest with direction dependent on trap geometry. Under rotation, various types of order parameter textures are stabilized including Mermin-Ho and Anderson-Toulouse-Chechetkin vortices. In a cigar shape trap, spontaneous current flows parallel to the rotation axis and thus perpendicular to the ordinary rotational current. The spontaneous mass current at rest and texture formation can be used to investigate ppp-wave superfluidity.