Finite-temperature phase transitions in a two-dimensional boson Hubbard model

Abstract

We study finite-temperature phase transitions in a two-dimensional boson Hubbard model with zero-point quantum fluctuations via Monte Carlo simulations of a quantum rotor model and construct the corresponding phase diagram. Compressibility shows a thermally activated gapped behavior in the insulating regime. Finite-size scaling of the superfluid stiffness clearly shows the nature of the Kosterlitz-Thouless transition. The transition temperature T-c confirms a scaling relation T-c proportional to rho(x)(0), with x=1.0. Some evidence of anomalous quantum behavior at low temperatures is presented.