Mott transition in hardcore Bose Hubbard model for honeycomb lattice

Abstract

The purpose of this study is to learn how to use direct loop update Stochastic Series Expansion Quantum Monte Carlo simulation to observe Mott transition for a hard core bosonic system in a honeycomb lattice using a Bose-Hubbard model. Lattice occupancy is set at 1/2, and the simulation is run on 3 different lattice size, namely for L=4,6, and 8. During the simulation, the transition of the stiffness of the system is measured against the iterating parameter t/V, where t is the amplitude of the hopping component and V is the amplitude of the nearest neighbour potential. The critical point of the transition is then approximated from the intersection of the 3 transition curves.