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arXiv 1901.00465cond-mat.supr-con
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超导薄膜中准一维涡旋雪崩的标度行为

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

A. J. Qviller, T. Qureishy, Y. Xu, H. Suo, P. B. Mozhaev, J. B. Hansen, T. H. Johansen, J. I. Vestgården, P. Mikheenko

摘要:

用定量磁光成像方法观察了$_{2}$ O $_{7-δ}$超导薄膜中动态驱动涡旋雪崩的标度行为。两种不同倾斜角的薄膜的雪崩尺寸的概率分布的移动涡的数量的特征。在这两个样本中发现,这些分布在长达三十年的时间内遵循幂律,指数范围在1.0和1.4之间。当系统尺寸由通量穿透前沿的深度定义时,分布也显示出清晰的有限尺寸标度--这是自组织临界性的特征。雪崩尺寸指数和分形维数之间的标度关系,以前从理论上推导出的磁涡的数量在静止状态下的守恒和数值模拟中所示,在这里示出的实验也是满意的。

英文摘要:

Scaling behaviour of dynamically driven vortex avalanches in superconducting YBa$_{2}$Cu$_{3}$O$_{7-δ}$ 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.

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