Critical Behavior of the Meissner Transition in the Lattice London Superconductor

TL;DR

This study uses Monte Carlo simulations to analyze the critical behavior of the Meissner transition in a 3D lattice London superconductor, confirming its universality class and anomalous magnetic field scaling.

Contribution

It provides the first detailed finite size scaling analysis of the Meissner transition in the 3D lattice London superconductor confirming its universality class.

Findings

Correlation length exponent ν ≈ 0.66

Scaling consistent with 3D XY universality

Confirmation of anomalous magnetic field scaling at T_c

Abstract

We carry out Monte Carlo simulations of the three dimensional (3D) lattice London superconductor in zero applied magnetic field, making a detailed finite size scaling analysis of the Meissner transition. We find that the magnetic penetration length \lambda, and the correlation length \xi, scale as \lambda ~ \xi ~ |t|^{-\nu}, with \nu = 0.66 \pm 0.03, consistent with ordinary 3D XY universality, \nu_XY ~ 2/3. Our results confirm the anomalous scaling dimension of magnetic field correlations at T_c.