  We studied the possibility of exciton condensation in a strongly correlated
bilayer extended Hubbard model using Determinant Quantum Monte Carlo. To model
both the onsite repulsion U and the interlayer interaction V we introduced a
novel update scheme extending the standard Sherman-Morrison update. We observe
that the sign problem increases dramatically with the inclusion of the
interlayer interaction V, which prohibits at this stage a unequivocal
conclusion regarding the presence of exciton condensation. However, enhancement
of the interlayer tunneling results suggest that the strongest exciton
condensation tendency lies around 10-20 % p/n-doping. Magnetic properties and
conductivity turn out to be relatively independent of the interlayer
interaction.
