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Density-functional theory of freezing of vortex-liquid in quasi two-dimensional superconductors

Igor Herbut·Zlatko Tesanovic
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Abstract

We present a theory of vortex liquid-to-solid transition in homogeneous quasi 2D superconductors. The free energy is written as a functional l of density of zeroes of the fluctuating order parameter. The transition is weakly first-order and well below the Hc2(T) line. Transition temperature, discontinuities of the average Abrikosov ratio and of the average superfluid density, the Debay-Waller factor and the latent heat are in good agreement with Monte Carlo simulations. The density is only weakly modulated in the "vortex-solid" phase, consistent with the density-wave behavior.

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Igor Herbut, Zlatko Tesanovic. 1994-02-28. Density-functional theory of freezing of vortex-liquid in quasi two-dimensional superconductors. https://doi.org/10.1103/physrevlett.73.484

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