%0 Journal Article %T Delocalization of weakly interacting bosons in a 1D quasiperiodic potential %A V. P. Michal %A B. L. Altshuler %A G. V. Shlyapnikov %J Physics %D 2014 %I arXiv %R 10.1103/PhysRevLett.113.045304 %X 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. %U http://arxiv.org/abs/1402.4796v2