We present results of path-integral Monte Carlo simulations of bosons on a two-dimensional square lattice in a random potential of average strength V and with on-site repulsion U. We find that the superfluid density ρₛ is enhanced by increasing V and U in certain regions of parameter space. By combining the results of ρₛ, with the behavior of the density-density correlation function on lattices of size up to 10×{}10, we study the superfluid--to--Mott-insulator transition and the transition from a superfluid to a disorder-localized (``Bose glass'') phase.
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Krauth et al. (1991) studied this question.
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