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arXiv:cond-mat/0105622 · Physical Review Letters

Critical Dynamics of a Vortex-Loop Model for the Superconducting Transition

Vivek Aji, Nigel D. Goldenfeld

Published Oct 17, 2001• 14 citations
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Abstract

We calculate analytically the dynamic critical exponent ${z}_{\mathrm{MC}}$, measured in Monte Carlo simulations for a vortex loop model of the superconducting transition, and account for the simulation results. In the weak screening limit, where magnetic fluctuations are neglected, the dynamic exponent is found to be ${z}_{\mathrm{MC}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}3/2$. In the perfect screening limit, ${z}_{\mathrm{MC}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}5/2$. We relate ${z}_{\mathrm{MC}}$ to the actual value of $z$ observable in experiments and find that $z\ensuremath{\sim}2$, consistent with some experimental results.

DOI
10.1103/physrevlett.87.197003

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