Vortices and 2D bosons: A Path-Integral Monte Carlo Study
Henrik Nordborg, Gianni Blatter
Abstract
The vortex system in a high-Tc 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 kB per vortex and layer (parameters for YBCO) and a Lindemann number cL = 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 ρs = ρeven in the limit λ-> ∞.
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