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

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

2009-03-26

arxiv.org/abs/0903.4713v1

Laser Physics 19, 571 (2009)

Physics

Condensed Matter

Statistical Mechanics

To appear in Laser Physics, issue on the LPHYS'08 conference (Trondheim, 2008)

Scientific paper

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 $v_o^2$. 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 $v_o^2 << 1$, the critical temperature for condensation. We find that, for large filling, disorder slightly enhances the critical temperature for condensation.

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