J. Holzer et al., Finite-size effects and dynamical scaling in two-dimensional Josephson junction arrays - art. no. 184508, PHYS REV B, 6318(18), 2001, pp. 4508
In recent years many groups have used Fisher, Fisher and Huse (FFH) dynamic
al scaling to investigate and demonstrate details of the superconducting ph
ase transition. Some attention has been focused on two dimensions where the
phase transition is of the Kosterlitz-Thouless-Berezinskii (KTB) type. Pie
rson ct al. used FFH dynamical scaling almost exclusively to suggest that t
he dynamics of the two-dimensional superconducting phase transition may be
other than KTB-like. In this work we investigate the ability of scaling beh
avior by itself to yield useful information on the nature of the transition
. We simulate current-voltage (IV) curves for two-dimensional Josephson jun
ction arrays with and without finite-size-induced resistive tails. We find
that, for the finite-size effect data, the values of the scaling parameters
, specifically the transition temperature and the dynamical scaling exponen
t z, depend critically on the magnitude of the contribution that the resist
ive tails make to the IV curves. In effect, the values of the scaling param
eters depend on the noise floor of the measuring system.