Physics – Condensed Matter – Superconductivity
Scientific paper
1997-11-23
Physics
Condensed Matter
Superconductivity
7 pages, 6 PS figures, epsf macros. submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.58.2827
We present a finite temperature Monte Carlo study of the XY-model in the vortex representation, and study its dynamical critical behavior in two limits. The first neglects magnetic field fluctuations, corresponding to the absence of screening, which should be a good approximation in high $T_c$ superconductors ($\kappa\to \infty$) except extremely close to the critical point. Here, from finite size scaling of the linear resistivity we find the dynamical critical exponent of the vortex motion to be $z\approx 1.5$. The second limit includes magnetic field fluctuations in the strong screening limit ($\kappa\to 0$) corresponding to the true asymptotic inverted XY critical regime, where we find the unexpectedly large value $z\approx 2.7$. We compare these results, obtained from dissipative dynamics in the vortex representation, with the universality class of the corresponding model in the phase representation with propagating (spin wave) modes. We also discuss the effect of disorder and the relevance of our results for experiments.
Girvin Steven M.
Lidmar Jack
Wallin Mats
Wengel Carsten
Young Patrick A.
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