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Scaling determination of the nonlinear I−V characteristics for two-dimensional superconducting networks

Petter Minnhagen, Beom Jun Kim, Andreas Grönlund

DOI 10.1103/PhysRevB.69.064515 · Physical Review B

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Abstract

It is shown from computer simulations that the current-voltage (I−V) characteristics for the two-dimensional XY model with resistively shunted Josephson junction dynamics and Monte Carlo dynamics obeys a finite-size scaling form from which the nonlinear I−V exponent a can be determined to good precision. This determination supports the conclusion a=z+1, where z is the dynamic critical exponent. The results are discussed in the light of the contrary conclusion reached by Tang and Chen [Phys. Rev. B 67, 024508 (2003)] and the possibility of a breakdown of scaling suggested by Bormann [Phys. Rev. Lett. 78, 4324 (1997)].

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