Two-Dimensional Vortex Lattice Melting

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 $\sim 0.38k_B{T}_M$ where $T_M$ is the melting temperature.

10 pages (4 figures available on request), RevTex 3.0, IUCM93-009

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