Scaling determination of the nonlinearI−Vcharacteristics for two-dimensional superconducting networks

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 aϭzϩ1, 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 ͑2003͔͒ and the possibility of a breakdown of scaling suggested by Bormann ͓Phys. Rev. Lett. 78, 4324 ͑1997͔͒.

Scaling, finite size effects, and crossovers of the resistivity and current-voltage characteristics in two-dimensional superconductors

“…1 and 2 the resistivity with B = Φ 0 /L 2 follows a power law with practically temperature-independent exponents in stark contrast to the zero field case. Previous finite size scaling studies of ρ(L) (or E(J, L) in the ohmic regime) in zero field have obtained a temperaturedependent power-law exponent below T c in good agreement with the MWJO prediction [13][14][15][16]18], which is not surprising given (14) and the smallness of z − 2.…”

“…( 1), with the diverging correlation length ξ cut off by the system size L, yielding E ∼ JL 1−a for small J. Most [12][13][14][15][16] (but not all [17,18]) simulation studies appear to favor the value a MWJO . Interestingly, Refs.…”

Dynamic Josephson Vortex Phenomena

“…In this section the dynamic properties of biased arrays are investigated. This problem is studied in some detail in literature, see [37,53,54,55,56]. The first part of this section will reproduce and discuss some of the results from literature.…”