Revisiting the dynamical exponent equality $z=d$ for the dirty boson problem

dc.creatorWeichman, Peter B.
dc.creatorMukhopadhyay, Ranjan
dc.date2007-03-14
dc.date.accessioned2026-07-07T07:51:49Z
dc.date.available2026-07-07T07:51:49Z
dc.descriptionIt 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 $κ\sim |δ|^{(d-z)ν}$ (where $δ$ is the deviation from criticality and $ν$ 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.
dc.description4 pages, no figures, submitted to Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0703384
dc.identifierhttp://arxiv.org/abs/cond-mat/0703384
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125657
dc.subjectDisordered Systems and Neural Networks
dc.subjectSuperconductivity
dc.titleRevisiting the dynamical exponent equality $z=d$ for the dirty boson problem
dc.typetext

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