How the effective boson-boson interaction works in Bose-Fermi mixtures in periodic geometries
arXiv:0806.3948 · doi:10.1140/epjd/e2008-00185-0
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 analyitical expressions for Supersolid (SS) and Phase Separation (PS) transition temperatures, and plot the phase diagrams.
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