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We study the zero temperature phase diagram of an imbalanced bilayer ofdipolar fermions. We consider perpendicularly aligned identical dipoles in twolayers and investigate the effect of population imbalance on the ground statephase at different layer spacings and average densities. The attractive part ofthe interlayer interaction could lead to the BEC-BCS crossover and the Fermisurface mismatch between two layers results in interesting uniform andnonuniform superfluid phases, which we have investigated here using the BCSmean-field theory together with the superfluid-mass density criterion. Thedensity imbalance reduces the pairing gap. At low densities, where the systemis on the BEC side of the crossover, this reduction is quite smooth while adense system rapidly becomes normal at intermediate density polarizations.Stable homogeneous superfluidity is predicted to appear on the phase diagramwhen the dipolar length exceeds both the layer spacing and the averageintralayer distance between dipoles, a regime which should be readilyaccessible experimentally. This homogeneous superfluid phase becomes unstableat intermediate densities and layer spacings. We have also examined that theseuniform and inhomogeneous superfluid phases survive when the effects ofintralayer screenings are also incorporated in the formalism.

Superfluidity in density imbalanced bilayers of dipolar fermions