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Physica E Low-dimensional Systems and Nanostructures

Low-dimensional Fermi and Bose gases

Israel Chávez, M. Grether, MANUEL DE LLANO

Published Sep 11, 2011• 4 citations
Publisher
DOI
10.1016/j.physe.2011.09.003

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We study the stability of the dilute Bose-Fermi and Bose-Bose mixtures with repulsive interactions in one and two dimensions in terms of the renormalization group. For the Bose-Fermi mixture, we show that the uniform mixture is stable against de-mixing in the dilute limit. For the Bose-Bose mixture, we give the stability conditions in the dilute limit. As a byproduct, we also calculate the critical temperature for the superfluid phase of the two-dimensional Bose-Fermi mixture in the extremely dilute limit.