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- W2051279546 abstract "The anomalous scaling in the Ginzburg-Landau model for the superconducting phase transition is studied. It is argued that the negative sign of the $ensuremath{eta}$ exponent is a consequence of a special singular behavior in momentum space. The negative sign of $ensuremath{eta}$ comes from the divergence of the critical correlation function at finite distances. This behavior implies the existence of a Lifshitz point in the phase diagram. The anomalous scaling of the vector potential is also discussed. It is shown that the anomalous dimension of the vector potential ${ensuremath{eta}}_{A}=4ensuremath{-}d$ has important consequences for the critical dynamics in superconductors. The frequency-dependent conductivity is shown to obey the scaling $ensuremath{sigma}(ensuremath{omega})ensuremath{sim}{ensuremath{xi}}^{zensuremath{-}2}.$ The prediction $zensuremath{approx}3.7$ is obtained from existing Monte Carlo data." @default.
- W2051279546 created "2016-06-24" @default.
- W2051279546 creator A5033058876 @default.
- W2051279546 date "2000-12-01" @default.
- W2051279546 modified "2023-09-24" @default.
- W2051279546 title "Anomalous dimensions and phase transitions in superconductors" @default.
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- W2051279546 doi "https://doi.org/10.1103/physrevb.62.14559" @default.
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