Vortices and 2D bosons: A Path-Integral Monte Carlo Study

Abstract

The vortex system in a high-T_c superconductor has been studied numerically using the mapping to 2D bosons and the path-integral Monte Carlo method. We find a single first-order transition from an Abrikosov lattice to an entangled vortex liquid. The transition is characterized by an entropy jump dS = 0.4 k_B per vortex and layer (parameters for YBCO) and a Lindemann number c_L = 0.25. The increase in density at melting is given by dρ= 6.0*10^{-4} / λ(T)^2. The vortex liquid corresponds to a bosonic superfluid, with ρ_s = ρeven in the limit λ-> \infty.

9 pages, RevTeX, 4 PostScript figures. The entropy jump at the transition has been recomputed and is now in agreement with experiments on YBCO. Some minor modifications were made in the text

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