Abstract
We derive selfconsistency equations for the density relaxation and the longitudinal dynamical conductivity of the interacting Bose gas at temperature zero moving in a random potential. The equations describe a disorder-induced transition from a superfluid phase to an insulating phase, where the density is non-ergodic. The interaction of the bosons is treated in random phase approximation and the coupling to the impurities is calculated within generalized selfconsistent current relaxation theory. Scaling laws are discussed and explicit results are presented for the repulsive Bosgas with neutral impurities and for the charged Bose gas with charged impurities.
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Gold, A. Impurity-induced phase transition in the interacting Bose gas: 1. Analytical results. Z. Physik B - Condensed Matter 52, 1–8 (1983). https://doi.org/10.1007/BF01305892
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DOI: https://doi.org/10.1007/BF01305892