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Critical Behavior of the Meissner Transition in the Lattice London Superconductor

Peter Olsson·S. Teitel
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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 \pm 0.03, consistent with ordinary 3D XY universality, ν_XY ~ 2/3. Our results confirm the anomalous scaling dimension of magnetic field correlations at T_c.

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Peter Olsson, S. Teitel. 1997-10-20. Critical Behavior of the Meissner Transition in the Lattice London Superconductor. https://doi.org/10.1103/physrevlett.80.1964

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