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. 2020 Mar 27;10(1):5641.
doi: 10.1038/s41598-020-62601-y.

Scaling Behavior of Quasi-One-Dimensional Vortex Avalanches in Superconducting Films

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Free PMC article

Scaling Behavior of Quasi-One-Dimensional Vortex Avalanches in Superconducting Films

A J Qviller et al. Sci Rep. .
Free PMC article

Abstract

Scaling behaviour of dynamically driven vortex avalanches in superconducting YBa2Cu3O7-δ films deposited on tilted crystalline substrates has been observed using quantitative magneto-optical imaging. Two films with different tilt angles are characterized by the probability distributions of avalanche size in terms of the number of moving vortices. It is found in both samples that these distributions follow power-laws over up to three decades, and have exponents ranging between 1.0 and 1.4. The distributions also show clear finite-size scaling, when the system size is defined by the depth of the flux penetration front - a signature of self-organized criticality. A scaling relation between the avalanche size exponent and the fractal dimension, previously derived theoretically from conservation of the number of magnetic vortices in the stationary state and shown in numerical simulations, is here shown to be satisfied also experimentally.

Conflict of interest statement

The authors declare no competing interests.

Figures

Figure 1
Figure 1
(a) Magneto-optical image of flux penetration in the 14°-sample at T = 4 K and Ba = 15.0 mT. (b) Differential image at the same temperature and field as in (a) with ΔBa = 42.5 μT. An avalanche of length 170 μm and size 1280 Φ0 is marked with the red box. Both scale bars are 150 μm long.
Figure 2
Figure 2
Probability distributions of avalanche size s in the 14°-sample.
Figure 3
Figure 3
Probability distributions of avalanche size s in the 20°-sample.
Figure 4
Figure 4
Finite-size scaling of avalanche size probability distributions P(s,L) in the 14°-sample.
Figure 5
Figure 5
Finite-size scaling of avalanche size probability distributions P(s,L) in the 20°-sample.

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