Critical Behavior of the Meissner Transition in the Lattice London Superconductor
Peter Olsson, S. Teitel
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 λ, and the correlation length ξ, scale as λ~ ξ~ |t|-ν, with ν= 0.66 0.03, consistent with ordinary 3D XY universality, νXY ~ 2/3. Our results confirm the anomalous scaling dimension of magnetic field correlations at Tc.
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