We consider a mixture of two-component Fermi and (one-component) dipolar Bose gases in which both dipolar interaction and
s-wave scattering between fermions of opposite spins are tunable. We show that in the long-wavelength limit, the anisotropy in the Fermi-Fermi interaction induced by phonons of the dipolar condensate can strongly enhance the scattering in the triplet channel. We investigate in detail the conditions for achieving optimal critical temperature at which the triplet superfluid begins to compete with the singlet superfluid.
We study mass-imbalanced two-component Fermi mixtures, where one of the components consists of dipolar fermions. We specifically study the mass imbalances corresponding to the atomic
163Dy-
40K and
53Cr-
6Li mixtures. We study the onset of the
s-wave superfluid phase, as a function of population imbalance and the dipolar interaction strength. We find the critical temperature and the Fermi surface deformations at the transition to depend on the dipolar interaction strength, where the critical temperature increases (decreases) with dipolar interaction strength for a majority (minority) of dipolar atoms. We present momentum distributions of both components where the Fermi surface deformations are visible.
We study the superfluidity and the coherence in dipolar binary Bose mixtures using the hydrodynamic approach. Useful analytical formula for the excitations spectrum, the correlation function and the superfluid fraction are derived. We find that in the case of highly imbalanced mixture, the superfluidity can occur in the dilute component only at extremely low temperatures. The behavior of the first-order correlation function for both dipolar and nondipolar Bose mixtures is deeply analyzed. Then we face the two-dimensional case which encodes a non-trivial physics due to the roton modes.