Condensation temperature of interacting Bose gases with and without disorder

O. Zobay
Phys. Rev. A 73, 023616 – Published 23 February 2006

Abstract

The momentum-shell renormalization group (RG) is used to study the condensation of interacting Bose gases without and with disorder. First of all, for the homogeneous disorder-free Bose gas the interaction-induced shifts in the critical temperature and chemical potential are determined up to second order in the scattering length. The approach does not make use of dimensional reduction and is thus independent of previous derivations. Secondly, the RG is used together with the replica method to study the interacting Bose gas with delta-correlated disorder. The flow equations are derived and found to reduce, in the high-temperature limit, to the RG equations of the classical Landau-Ginzburg model with random-exchange defects. The random fixed point is used to calculate the condensation temperature under the combined influence of particle interactions and disorder.

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  • Received 11 October 2005

DOI:https://doi.org/10.1103/PhysRevA.73.023616

©2006 American Physical Society

Authors & Affiliations

O. Zobay

  • Institut für Angewandte Physik, Technische Universität Darmstadt, 64289 Darmstadt, Germany

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Vol. 73, Iss. 2 — February 2006

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