Quantum Monte Carlo simulation of a boson system for superfluid - Insulator transition on two-dimensional random surfaces

We study the superfluid-insulator transition of the 2-D boson system on ran dom surfaces. Using quantum Monte Carlo simulation and grand-canonical ense mble, we investigate tie random Hubbard model and study the phase transitio n between the superfluid phase and the Bose glass insulator phase. Changing the chemical potential mu, we observe the transition from the superfluid p hase to the insulator phase. We show the dimensional dependence ol the tran sition hp comparing the results of 2-D and l-D boson systems. To study the localization of the boson paths, we perform the simulation on the anisotrop ic surfaces, and discuss the crossover from 2-D system to l-D system.