Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-03-14
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, no figures, submitted to Phys. Rev. Lett
Scientific paper
It is shown that previous arguments leading to the equality $z=d$ ($d$ being the spatial dimensionality) for the dynamical exponent describing the Bose glass to superfluid transition may break down, as apparently seen in recent simulations (Ref. \cite{Baranger}). The key observation is that the major contribution to the compressibility, which remains finite through the transition and was predicted to scale as $\kappa \sim |\delta|^{(d-z)\nu}$ (where $\delta$ is the deviation from criticality and $\nu$ is the correlation length exponent) comes from the analytic part, not the singular part of the free energy, and therefore is not restricted by any conventional scaling hypothesis.
Mukhopadhyay Ranjan
Weichman Peter B.
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