Interlayer coherent composite Fermi liquid phase in quantum Hall bilayers

We introduce an \emph{interlayer coherent composite Fermi liquid} for $\nu = 1/2+1/2$ bilayers, in which interlayer Coulomb drives exciton condensation of composite fermions. As a result, composite fermions propagate coherently \emph{between} layers---even though electrons do not---and form bonding and antibonding Fermi seas. This phase is compressible with respect to symmetric currents but quantum Hall-like in the counterflow channel. Quantum oscillations of the composite Fermi seas generate a new series of incompressible states at $\nu = p/[2(p\pm 1)]$ per layer ($p$ an integer), which is a bilayer analogue of Jain's sequence.