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Scaling determination of the nonlinear I-V characteristics for 2D superconducting networks

Petter Minnhagen·Beom Jun Kim·A. Gronlund
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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 {\bf 67}, 024508 (2003)] and the possibility of a breakdown of scaling suggested by Bormann [Phys. Rev. Lett. {\bf 78}, 4324 (1997)].

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Petter Minnhagen, Beom Jun Kim, A. Gronlund. 2003-12-19. Scaling determination of the nonlinear I-V characteristics for 2D superconducting networks. https://doi.org/10.1103/physrevb.69.064515

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