Oscillatory vortex interaction in a gapless fermion superfluid with spin population imbalance

Details Oscillatory vortex interaction in a gapless fermion superfluid with spin population imbalance Oscillatory vortex interaction in a gapless fermion superfluid with spin population imbalance

2006-11-11

arxiv.org/abs/cond-mat/0611295v2

Physics

Condensed Matter

Superconductivity

5 pages, 3 updated figures; a short version of arXiv:0710.2522

Scientific paper

Using effective field theory approach we study a homogeneous superfluid state with a single (gapless) Fermi surface, recently suggested as a possible phase for an ultracold Fermi gas with spin-population imbalance. We find an unconventional form of the interaction between vortices. The presence of gapless fermions gives rise to an attractive long-range potential oscillating in space, analogous to the RKKY magnetic interaction in metals. Our study then leads to an interesting question as to the nature of the vortex lattice in the presence of competition between the usual repulsive logarithmic Coulomb and fermion-induced attractive oscillatory interactions.

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