Phase transitions and vortex-line entanglement in a model high-temperature superconductor
Phase transitions and vortex-line entanglement in a model high-temperature superconductor
We carry out Monte Carlo simulations of the uniformly frustrated three-dimensional XY model as a model for vortex-line fluctuations in high-temperature superconductors in an applied magnetic field. We show, comparing systems of different size, that there are two distinct phase transitions. At a lower ${\mathit{T}}_{\mathit{c}\mathrm{\ensuremath{\perp}}}$, the vortex lattice melts, and …