Critical dynamics of the dirty boson problem: revisiting the equality z=d.
It is shown that previous arguments, leading to the equality z=d for the dynamical exponent describing the Bose glass to superfluid transition in d dimensions, may break down, as apparently seen in recent simulations. The key observation is that the major contribution to the compressibility, which remains finite through the transition and was predicted to scale as kappa approximately |delta|((d-z)nu) (where delta is the deviation from criticality and nu is the correlation length exponent) comes from the analytic, not the singular part of the free energy, and is not restricted by any conventional scaling hypothesis.
Weichman
Peter B
PB
BAE Systems, Advanced Information Technologies, 6 New England Executive Park, Burlington, Massachusetts 01803, USA.
Mukhopadhyay
Ranjan
R