arXiv:cond-mat/0312070 · Physical Review B
Critical dynamics, duality, and the exact dynamic exponent in extreme type-II superconductors
Flavio S. Nogueira, Dirk Manske
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.