Scaling behaviour of trapped bosonic particles in two dimensions at   finite temperature
  In the framework of the trap-size scaling theory, we study the scaling properties of the Bose-Hubbard model in two dimensions in the presence of a trapping potential at finite temperature. In particular, we provide results for the particle density and the density-density correlator at the Mott transitions and within the superfluid phase. For the former quantity, numerical outcomes are also extensively compared to Local Density Approximation predictions. 
Giacomo Ceccarelli and Christian Torrero
cond-mat.quant-gas cond-mat.stat-mech