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Finite-Size Effects and Dynamical Scaling in Two-Dimensional Josephson Junction Arrays

机译:二维约瑟夫森中的有限尺寸效应和动态尺度   结点阵列

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摘要

In recent years many groups have used Fisher, Fisher, and Huse (FFH)dynamical scaling to investigate and demonstrate details of the superconductingphase transition. Some attention has been focused on two dimensions where thephase transition is of the Kosterlitz-Thouless-Berezinskii (KTB) type. Piersonet al. used FFH dynamical scaling almost exclusively to suggest that thedynamics of the two-dimensional superconducting phase transition may be otherthan KTB-like. In this work we investigate the ability of scaling behavior byitself to yield useful information on the nature of the transition. We simulatecurrent-voltage (IV) curves for two-dimensional Josephson junction arrays withand without finite-size-induced resistive tails. We find that, for thefinite-size effect data, the values of the scaling parameters, specifically thetransition temperature and the dynamical scaling exponent z, depend criticallyon the magnitude of the contribution that the resistive tails make to the IVcurves. In effect, the values of the scaling parameters depend on the noisefloor of the measuring system.
机译:近年来,许多小组已使用Fisher,Fisher和Huse(FFH)动态缩放来研究和演示超导相变的细节。一些关注集中在两个方面,其中相变是Kosterlitz-Thouless-Berezinskii(KTB)类型的。 Piersonet等。 FFH动态定标几乎完全是用来表明二维超导相变的动力学可能不同于KTB。在这项工作中,我们研究了自行扩展行为以产生有关过渡性质的有用信息的能力。我们模拟具有和不具有有限尺寸感应电阻尾的二维约瑟夫森结阵列的电流-电压(IV)曲线。我们发现,对于有限尺寸的影响数据,缩放参数的值,特别是过渡温度和动态缩放指数z,关键取决于电阻尾部对IV曲线的贡献大小。实际上,缩放参数的值取决于测量系统的本底噪声。

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