Disordered one-dimensional bose-fermi mixtures: the Bose-Fermi glass.
We analyze an interacting Bose-Fermi mixture in a 1D disordered potential by using a combination of renormalization group and variational methods. We obtain the complete phase diagram in the incommensurate case as a function of bosonic and interspecies interaction strengths, in the weak disorder limit. We find that the system is characterized by several phase transitions between superfluid and various glassy insulating states, including a new Bose-Fermi glass phase, where both species are coupled and localized. We show that the dynamical structure factor, as measured through Bragg scattering experiments, can distinguish between the various localized phases and probe their dynamics.
Crépin
François
F
Laboratoire de Physique des Solides, CNRS UMR-8502 Université Paris Sud, 91405 Orsay Cedex, France.
Zaránd
Gergely
G
Simon
Pascal
P