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Delocalization of weakly interacting bosons in a 1D quasiperiodic potential
V P Michal1, B L Altshuler2, G V Shlyapnikov3
1Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris Sud, CNRS, 91405 Orsay, France.
Abstract:
We consider weakly interacting bosons in a 1D quasiperiodic potential (Aubry-Azbel-Harper model) in the regime where all single-particle states are localized. We show that the interparticle interaction may lead to the many-body delocalization and we obtain the finite-temperature phase diagram. Counterintuitively, in a wide range of parameters the delocalization requires stronger coupling as the temperature increases. This means that the system of bosons can undergo a transition from a fluid to insulator (glass) state under heating.
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