Thermodynamics of the superfluid dilute Bose gas with disorder

Details Thermodynamics of the superfluid dilute Bose gas with disorder Thermodynamics of the superfluid dilute Bose gas with disorder

2001-09-28

arxiv.org/abs/cond-mat/0109546v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages

Scientific paper

10.1103/PhysRevLett.88.235503

We generalize the Beliaev-Popov diagrammatic technique for the problem of interacting dilute Bose gas with weak disorder. Averaging over disorder is implemented by the replica method. Low energy asymptotic form of the Green function confirms that the low energy excitations of the superfluid dirty Boson system are sound waves with velocity renormalized by the disorder and additional dissipation due to the impurity scattering. We find the thermodynamic potential and the superfluid density at any temperature below the superfluid transition temperature and derive the phase diagram in temperature vs. disorder plane.

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