A Gaussian Theory of Superfluid--Bose-Glass Phase Transition

Abstract

We show that gaussian quantum fluctuations, even if infinitesimal, are sufficient to destroy the superfluidity of a disordered boson system in 1D and 2D. The critical disorder is thus finite no matter how small the repulsion is between particles. Within the gaussian approximation, we study the nature of the elementary excitations, including their density of states and mobility edge transition. We give the gaussian exponent $\eta$ at criticality in 1D and show that its ratio to $\eta$ of the pure system is universal.

Revtex 3.0, 11 pages (4 figures will be sent through airmail upon request)

References in corpus (2)

• Disordered Boson Systems: A Perturbative Study
• Critical Exponents for Three-Dimensional Superfluid--Bose-Glass Phase Transition

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• Bose glass transition and spin-wave localization for 2D bosons in a random potential
• Mean Field Theory of the Localization Transition
• Mean-field phase diagram of the 1-D Bose gas in a disorder potential
• Superfluid-insulator transition in weakly interacting disordered Bose gases: a kernel polynomial approach