C. Kawabata et al., Critical temperature, critical current, and vortex loops in 3D anisotropicJosephson junction arrays, J PHYS JPN, 69(1), 2000, pp. 194-202
Monte Carlo simulations of a 3D anisotropic Josephson junction array are pe
rformed, to determine the critical temperature T-c(I, alpha) for the onset
of phase incoherence. Here I is the external current drive at opposite surf
aces, and alpha = E-J perpendicular to/E-J parallel to is the inter-/intra-
layer Josephson coupling ratio. T-c(I, alpha) is equivalent to a critical c
urrent, I-c(T, alpha) fur the breakdown of global phase coherence. The temp
erature and anisotropy dependence of I-c(T, alpha) supports a physical pict
ure of two vortex populations, quasi-2D and 3D in nature at small and large
scales respectively, separated by a length scale r(perpendicular to) simil
ar to 1/root alpha.