How the effective boson-boson interaction works in Bose-Fermi mixtures in periodic geometries
Dipartimento di Fisica “G. Galilei”, Università degli Studi di Padova, via F. Marzolo 8, 35131 Padova, Italy
Corresponding author: a firstname.lastname@example.org
Revised: 7 April 2008
Published online: 3 October 2008
We study mixtures of spinless bosons and not spin-polarized fermions loaded in two dimensional optical lattices. We approach the problem of the ground state stability within the framework of the linear response theory; by the mean of an iterative procedure, we are able to obtain a relation for the dependence of boson-boson effective interaction on the absolute temperature of the sample. Proceeding from such a formula, we write down analytical expressions for supersolid (SS) and phase separation (PS) transition temperatures, and plot the phase diagrams.
PACS: 37.10.Jk – Atoms in optical lattices
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008