, Volume 19, Issue 4, pp 571-577
Date: 09 Apr 2009

Effect of random on-site energies on the critical temperature of a lattice Bose gas

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Abstract

We study the effect of random on-site energies on the critical temperature of a non-interacting Bose gas on a lattice. In our derivation the on-site energies are distributed according a Gaussian probability distribution function having vanishing average and variance ν 0 2 . By using the replicated action obtained by averaging on the disorder, we perform a perturbative expansion for the Green functions of the disordered system. We evaluate the shift of the chemical potential induced by the disorder and we compute, for ν 0 2 ≪ 1, the critical temperature for condensation. We find that, for large filling, disorder slightly enhances the critical temperature for condensation.

Original Text © Astro, Ltd., 2009.
The article is published in the original.