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Critical dynamics, duality, and the exact dynamic exponent in extreme type II superconductors

Flavio S. Nogueira·Dirk Manske
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Abstract

The critical dynamics of superconductors is studied using renormalization group and duality arguments. We show that in extreme type II superconductors the dynamic critical exponent is given exactly by $z=3/2$. This result does not rely on the widely used models of critical dynamics. Instead, it is shown that $z=3/2$ follows from the duality between the extreme type II superconductor and a model with a critically fluctuating gauge field. Our result is in agreement with Monte Carlo simulations.

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Flavio S. Nogueira, Dirk Manske. 2005-06-02. Critical dynamics, duality, and the exact dynamic exponent in extreme type II superconductors. https://doi.org/10.1103/physrevb.72.014541

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