MEAN-FIELD THEORY OF THE LOCALIZATION TRANSITION OF HARD-CORE BOSONS

A mean-held theory of the localization transition for strongly interac ting bosonic systems is developed. Localization is shown to be sensiti ve to the distribution of the random site energies. It occurs in the p resence of a triangular distribution, but not a uniform one. The inver se participation ratio, the single site Green's function, the superflu id order parameter, and the corresponding susceptibility are calculate d, and the appropriate exponents determined. All of these quantities i ndicate the presence of a new phase, which can be identified as the Bo se glass.