Title: Finite temperature disordered bosons in two dimensions,
Abstract: We study phase transitions in a two dimensional weakly interacting Bose gas
in a random potential at finite temperatures. We identify superfluid, normal
fluid, and insulator phases and construct the phase diagram. At T=0 one has a
tricritical point where the three phases coexist. The truncation of the energy
distribution at the trap barrier, which is a generic phenomenon in cold atom
systems, limits the growth of the localization length and in contrast to the
thermodynamic limit the insulator phase is present at any temperature.