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

Flavio S. Nogueira, Dirk Manske

DOI 10.1103/PhysRevB.72.014541 · Physical Review B

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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 and at least one experiment.

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FormulaReported Tc (K)Pressure (GPa)Type
YBa2Cu3O7-δ

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—Pressure not reportedunknown

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