Eur. Phys. J. D 50, 61-66 (2008)
https://doi.org/10.1140/epjd/e2008-00185-0

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 giovannimazzarella75@gmail.com

Received: 11 January 2008
Revised: 7 April 2008
Published online: 3 October 2008

Abstract

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.