Fig. 2
From: Accelerated vortex dynamics across the magnetic 3D-to-2D crossover in disordered superconductors
Thickness-dependent vortex creep in Nb film. a Comparison of the temperature-dependent creep rates, S(T), for a Nb film at different thicknesses d in a field of 0.3 T. The error bars (standard deviation in the logarithmic fit to M(t)) are smaller than the point sizes. We were unable to measure creep below 5.5 K due to flux jumps. b Temperature dependence of the collective pinning length for vortex bundles in our Nb film based on Eq. (1), our experimental data for Jc (inset), and the assumption that λ(T = 0) ≈ 80 nm.36 c Difference in creep rate of thinned film and that of the original film (d = 447 nm) versus the ratio of the film thickness to the collective pinning length, d/Lc(T). Creep rate deviates from bulk behavior when film becomes thinner than \(L_{\mathrm{c}}^{\mathrm{vb}}(T)\). The insets illustrate the bulk (right panel) and truncated (left panel) collective pinning volumes, applicable for d > Lc and d < Lc, respectively. d Creep versus film thickness at different temperatures on a log–log plot. The dotted lines are linear fits for \(d \le L_{\mathrm{c}}^{\mathrm{vb}}\) used to extract the exponent α (slopes of fits) of the power-law S ∝ d−α, plotted in the inset
