  We study bilayer fermionic cold atom systems with dipolar interactions, as
well as a two-component tunable pseudopotential (TCTP) model which keeps only
the zeroth and first Haldane pseudopotentials, at total Landau level filling
factor 1/2. Our numerical results on the TCTP model indicates that
Haldane-Rezayi state describes the critical point between strong and weak
d-wave pairing quantum Hall phases. Further increasing the attractive zeroth
pseudopotentials, the system transits from the strong-pairing phase to a stripe
phase, and then to a cluster phase (or phase separation). The dipolar
interaction can be mapped onto the TCTP model in the strong-pairing phase, if
high order pseudopotentials are ignored. Our numerical results show that this
is indeed the case, so the strong-pairing phase can be realized in the cold
atom system.
