Vortex dynamics for two-dimensional XY models

Details Vortex dynamics for two-dimensional XY models Vortex dynamics for two-dimensional XY models

1998-06-19

arxiv.org/abs/cond-mat/9806231v2

Phys. Rev. B 59, 11506 (1999)

Physics

Condensed Matter

Superconductivity

21 pages including 15 figures, final version

Scientific paper

10.1103/PhysRevB.59.11506

Two-dimensional XY models with resistively shunted junction (RSJ) dynamics and time dependent Ginzburg-Landau (TDGL) dynamics are simulated and it is verified that the vortex response is well described by the Minnhagen phenomenology for both types of dynamics. Evidence is presented supporting that the dynamical critical exponent $z$ in the low-temperature phase is given by the scaling prediction (expressed in terms of the Coulomb gas temperature $T^{CG}$ and the vortex renormalization given by the dielectric constant $\tilde\epsilon$) $z=1/\tilde{\epsilon}T^{CG}-2\geq 2$ both for RSJ and TDGL and that the nonlinear IV exponent a is given by a=z+1 in the low-temperature phase. The results are discussed and compared with the results of other recent papers and the importance of the boundary conditions is emphasized.

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