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

2001/05/31 by Vivek Aji, Nigel Goldenfeld · 13 citations
Physics and Astronomy · #Condensed matter physics #Critical exponent #Exponent #Limit (mathematics) #Loop (graph theory) #Monte Carlo method #Observable #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Statistical physics #Statistics #Superconductivity #Theoretical and Computational Physics #Thermodynamics #Vortex #cond-mat.stat-mech #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.87.197003

published in Physical Review Letters 87(19), 197003 (American Physical Society)

arxiv created 2001/09/20 · openalex publication_date 2001/10/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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\phantom\rule0ex0ex=\phantom\rule0ex0ex3/2. In the perfect screening limit, z_MC\phantom\rule0ex0ex=\phantom\rule0ex0ex5/2. We relate z_MC to the actual value of z observable in experiments and find that z\ensuremath∼2, consistent with some experimental results.

Citations

• Universality of glass scaling in aYBa2Cu3O7−δthin film
• Lectures on Phase Transitions and the Renormalization Group
• Dynamic critical exponent of two-, three-, and four-dimensionalXYmodels with relaxational and resistively shunted junction dynamics
• Theory of dynamic critical phenomena

Cited by

• Critical Dynamics of Superconductors in the Charged Regime
• Critical dynamics, duality, and the exact dynamic exponent in extreme type-II superconductors