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 20 . 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 20 ≪ 1, the critical temperature for condensation. We find that, for large filling, disorder slightly enhances the critical temperature for condensation.
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Dell’Anna, L., Fantoni, S., Sodano, P. et al. Effect of random on-site energies on the critical temperature of a lattice Bose gas. Laser Phys. 19, 571–577 (2009). https://doi.org/10.1134/S1054660X09040069
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DOI: https://doi.org/10.1134/S1054660X09040069