Mean Field Theory of the Localization Transition

Abstract

A mean field theory of the localization transition for bosonic systems is developed. Localization is shown to be sensitive to the distribution of the random site energies. It occurs in the presence of a triangular distribution, but not a uniform one. The inverse participation ratio, the single site Green's function, the superfluid order parameter and the corresponding susceptibility are calculated, and the appropriate exponents determined. All of these quantities indicate the presence of a new phase, which can be identified as the {\it Bose-glass}.

4 pages, Revtex, 2 figures appended

References in corpus (2)

• The superconductor-insulator transition in 2D dirty boson systems
• A Gaussian Theory of Superfluid--Bose-Glass Phase Transition

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