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Two-Dimensional Vortex Lattice Melting

Jun Hu·A. H. MacDonald
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Abstract

We report on a Monte-Carlo study of two-dimensional Ginzburg-Landau superconductors in a magnetic field which finds clear evidence for a first-order phase transition characterized by broken translational symmetry of the superfluid density. A key aspect of our study is the introduction of a quantity proportional to the Fourier transform of the superfluid density which can be sampled efficiently in Landau gauge Monte-Carlo simulations and which satisfies a useful sum rule. We estimate the latent heat per vortex of the melting transition to be $\sim 0.38 k_B T_M$ where $T_M$ is the melting temperature.

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Jun Hu, A. H. MacDonald. 1993-05-14. Two-Dimensional Vortex Lattice Melting. https://doi.org/10.1103/physrevlett.71.432

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