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

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 نشر من قبل Peter B. Weichman
 تاريخ النشر 2007
  مجال البحث فيزياء
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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 $kappa sim |delta|^{(d-z) u}$ (where $delta$ is the deviation from criticality and $ u$ 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.



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