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Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance

Tin-Lun Ho·Roberto B. Diener
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Abstract

We study the pairing of Fermi gases near the scattering resonance of the $\ell\neq 0$ partial wave. Using a model potential which reproduces the actual two-body low energy scattering amplitude, we have obtained an analytic solution of the gap equation. We show that the ground state of $\ell=1$ and $\ell=3$ superfluid are orbital ferromagnets with pairing wavefunctions $Y_{11}$ and $Y_{32}$ respectively. For $\ell=2$, there is a degeneracy between $Y_{22}$ and a "cyclic state". Dipole energy will orient the angular momentum axis. The gap function can be determined by the angular dependence of the momentum distribution of the fermions.

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Tin-Lun Ho, Roberto B. Diener. 2004-08-21. Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance. https://doi.org/10.1103/physrevlett.94.090402

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