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Figure 1

From: Critical behavior of nonequilibrium depinning transitions for vortices driven by current and vortex density

Figure 1The alternative text for this image may have been generated using AI.

The critical divergence of the relaxation time \(\tau (I)\) at the current-driven depinning transition (\(I_{c}\)). (a, c) I–V characteristics at 4.1 K in (a) 1.27 T and (c) 3.8 T on a linear-linear scale. Inset: I–V data plotted on a log–log scale. A vertical arrow and dashed line in each main panel and inset, respectively, indicate the depinning current \(I_{d}\) = 0.375 mA defined using a \(10^{-8}\) V criterion. Other lines are guide to the eye. (b, d) The critical divergence of \(\tau (I)\) at the I-driven depinning transition in (b) 1.27 T and (d) 3.8 T. The open and solid red circles represent \(\tau\) for \(I\le\) 0.37 mA and \(I\ge\) 0.39 mA, respectively, showing a power-law divergence at 0.375 ± 0.005 mA(\(\equiv I_{c}\)) from both sides, as marked with a vertical dashed line. Inset: \(\log {\tau }\) versus \(\log {|I-I_{c}|}\) in (b) 1.27 T and (d) 3.8 T, where symbols are the same as in the main panel. Both the dotted and full red lines indicate the power-law fits by \(\tau \propto |I-I_{c}|^{-\nu }\) with (b) \(\nu\) = 1.34 ± 0.13 and (d) \(\nu\) = 1.02 ± 0.15. The error bars in \(\tau\) mainly correspond to the fitting errors resulting from the uncertainty in determining a.

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