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

TL;DR

This paper derives an exact dynamic critical exponent of z=3/2 for extreme type II superconductors using renormalization group and duality, confirming previous simulation results without relying on standard models.

Contribution

It provides a novel, exact determination of the dynamic critical exponent in extreme type II superconductors through duality and renormalization group methods.

Findings

The dynamic critical exponent is exactly z=3/2.

The result is independent of traditional critical dynamics models.

Monte Carlo simulations agree with the theoretical prediction.

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.