Finite-Temperature Disordered Bosons in Two Dimensions
G. Bertoli (Université Paris-Saclay)
V. P. Michal (TU Delft - QCD/Vandersypen Lab)
B. L. Altshuler (Columbia University)
G. V. Shlyapnikov (Universiteit van Amsterdam, Chinese Academy of Sciences, Université Paris-Saclay, CNRS - Guyancourt, Skolkovo Institute of Science and Technology)
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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.