Finite Temperature Phase Diagram of the Disordered Extended Bose-Hubbard Model

The disordered extended Bose-Hubbard model exhibits a very rich phase diagram at low temperatures because of the competition between disorder and interactions. Depending on the parameter regime, it can show superfluid, supersolid, Bose glass, solid and disordered solid phases. We will discuss quantum Monte Carlo calculations used to estimate various physical quantities, such as, superfluid density, charge structure factor, compressibility, etc, which we use to classify these phases at finite temperatures.