Dynamical scaling behavior of current-electric field characteristics in two-dimensional disordered superconductors

Abstract

We study the dynamics of magnetic vortices driven by transport current in two-dimensional disordered type-II superconductors, using the Langevin dynamics simulation of the vortex model developed. Exploring the electric field induced by the vortex motion as a function of the transport current ( E- J characteristics), we find that the combined effect of random impurities and the current induced vortex-antivortex pair creation yields the dynamical scaling behavior of E- J curves near a certain critical temperature. Critical scaling exponents are found to be z ⋍ 2, v ⋍ 2 and μ ⋍ 0.5 , for the dynamical exponent, the static exponent and the resistivity decay exponent, respectively, which are almost independent of the magnetic induction. On the other hand, the critical temperature, T cr, depends on the magnetic induction, B, as T cr/ T c0 = 1 − B 0.68 with superconducting transition temperature T c0 at zero field.