Critical Dynamics of a Vortex Loop Model for the Superconducting Transition

Abstract

We calculate analytically the dynamic critical exponent $z_{MC}$ 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 $z_{MC}=3/2$. In the perfect screening limit, $z_{MC}=5/2$. We relate $z_{MC}$ to the actual value of $z$ observable in experiments and find that $z\sim 2$, consistent with some experimental results.

Cited by in corpus (10)

• Temperature range of superconducting fluctuations above T_c in YBa_2Cu_3O_{7-δ} single crystals
• Critical dynamics of superconducting BSCCO films
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Critical fluctuations and pseudogap observed in the microwave conductivity of BSCCO and YBCO thin films
• Critical dynamics, duality, and the exact dynamic exponent in extreme type II superconductors
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Critical Dynamics of Superconductors in the Charged Regime
• Scaling analysis of the static and dynamic critical exponents in under, over, and optimally-doped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-y}$ films
• Comment on "Critical Dynamics of a Vortex-Loop Model for the Superconducting Transition"
• Reply to Comment on "Critical Dynamics of a Vortex-Loop Model for the Superconducting Transition"