Quantum Monte Carlo calculation of the zero-temperature phase diagram of   the two-component fermionic hard-core gas in two dimensions
  Motivated by potential realizations in cold-atom or cold-molecule systems, we have performed quantum Monte Carlo simulations of two-component gases of fermions in two dimensions with hard-core interactions. We have determined the gross features of the zero-temperature phase diagram, by investigating the relative stabilities of paramagnetic and ferromagnetic fluids and crystals. We have also examined the effect of including a pairwise, long-range r^(-3) potential between the particles. Our most important conclusion is that there is no region of stability for a ferromagnetic fluid phase, even if the long-range interaction is present. We also present results for the pair-correlation function, static structure factor, and momentum density of two-dimensional hard-core fluids. 
N. D. Drummond, N. R. Cooper, R. J. Needs and G. V. Shlyapnikov
cond-mat.quant-gas