Anisotropic Fermi Superfluid via p-wave Feshbach Resonance

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We investigate theoretically Fermionic superfluidity induced by Feshbach resonance in the orbital p-wave channel. We show that, due to the dipole interaction, the pairing is extremely anisotropic. When this dipole interaction is relatively strong, the pairing has symmetry kz. When it is relatively weak, it is of symmetry kz + i βky (up to a rotation about z, here β< 1). A phase transition between these two states can occur under a change in the magnetic field or the density of the gas.