Archive ouverte HAL – Finite-Temperature Disordered Bosons in Two Dimensions

G. Bertoli 1 V. p. Michal 2 B. l. Altshuler 3 G. v. Shlyapnikov 1

Physical Review Letters, American Physical Society, 2018, 121 (3), 〈10.1103/PhysRevLett.121.030403〉

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.

  • 1. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
  • 2. TU Delft - Delft University of Technology
  • 3. Columbia University [New York]