Delocalization of weakly interacting bosons in a 1D quasiperiodic potential

V. P. Michal (1) , B. L. Altshuler (2) , G. V. Shlyapnikov (1, 3, 4)

1 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
2 Physics Dept.
3 VAN DER WAALS-ZEEMAN INSTITUTE - University of Amsterdam Van der Waals-Zeeman Institute
4 Russian Quantum Center

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 cou- pling as the temperature increases. This means that the system of bosons can undergo a transition from a fluid to insulator (glass) state under heating.

Domaines: Autre [cond-mat.other]

V. P. Michal, B. L. Altshuler, G. V. Shlyapnikov. Delocalization of weakly interacting bosons in a 1D quasiperiodic potential. Physical Review Letters, 2014, 113, pp.045304. ⟨10.1103/PhysRevLett.113.045304⟩. ⟨hal-01052752⟩