Phase transitions and vortex-line entanglement in a model high-temperature superconductor
Ying-Hong Li, S. Teitel
DOI 10.1103/PhysRevB.49.4136 · Physical Review B
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Abstract
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 Tc⊥, the vortex lattice melts, and coherence is lost in planes perpendicular to the magnetic field. At a higher Tcz, a vortex tangle percolates throughout the system, and coherence is lost parallel to the magnetic field. Cooling below Tcz, high-energy barriers for vortex-line cutting lead to an entangled glassy state.
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