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

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

1993-07-20

arxiv.org/abs/cond-mat/9307044v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevLett.71.3830

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.

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