  We present a numerical study of the Hubbard model on simply stacked honeycomb
and square lattices, motivated by a recent experimental realization of such
models with ultracold atoms in optical lattices. We perform simulations with
different interlayer coupling and interaction strengths and obtain N\'eel
transition temperatures and entropies. We provide data for the equation of
state to enable comparisons of experiments and theory. We find an enhancement
of the short-range correlations in the anisotropic lattices compared to the
isotropic cubic lattice, in parameter regimes suitable for the interaction
driven adiabatic cooling.
