Textures and Vortices in $d$-Wave Fermi Condensates in Atomic Gases

概要

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The fundamental properties of superfluids with $d$-wave pairing symmetry are investigated theoretically. We consider neutral atomic Fermi gases in a harmonic trap with the Cooper pairing produced by a Feshbach resonance via a $d$-wave interaction channel. A Ginzburg–Landau (GL) functional is constructed that is symmetry-constrained for five component order parameters (OPs). We find stable OP textures and vortices for all three phases that are known to be in the energy minimum of the GL functional: the ferromagnetic, polar, and cyclic phases, both at rest and under rotation. In particular, we touch upon the stability conditions for a non-Abelian fractional 1/3-vortex in the cyclic phase under rotation. We propose how to create the intriguing 1/3-vortex experimentally in atomic gases via optical means.
2010-04-15