Phase diagram for bilayer quantum Hall effect at total filling nuT=5

We evaluate the phase diagram of the bilayer quantum Hall effect at total filling nuT=5, which is a bilayer phase coherent state at small separations and two uncoupled 5/2 states at large separations. Based on a combination of variational and exact calculations, we estimate that the transition between these states occurs at a layer separation of approximately one magnetic length. The composite fermion Fermi sea is not found to be relevant for any parameters