The effect of anisotropic exchange interactions and short-range phenomena on superfluidity in a homogeneous dipolar Fermi gas

摘要

We develop a simple numerical method that allows us to calculate theBardeen-Cooper-Schriefer (BCS) superfluid transition temperature (Tc) preciselyfor any interaction potential. We apply it to a polarised, ultracold Fermi gaswith long-range, anisotropic, dipolar interactions and include the effects ofanisotropic exchange interactions. We pay particular attention to theshort-range behaviour of dipolar gasses and re-examine current renormalisationmethods. In particular, we find that dimerisation of both atoms and moleculessignificantly hampers the formation of a superfluid. The end result is that athigh density/interaction strengths, we find Tc is orders of magnitude lowerthan previous calculations.