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

2003/12/31 by Flavio S. Nogueira, Dirk Manske
Physics and Astronomy · #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.72.014541

published as Phys. Rev. B 72, 014541 (2005) · 7 pages, no figures; version accepted for publication in PRB

arxiv created 2005/06/02 · arxiv updated 2009/12/01

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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