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arXiv 0812.3587cond-mat.supr-con
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0-kappa长约瑟夫森结中的分数涡旋逃逸理论

Theory of fractional vortex escape in a 0-kappa long Josephson junction

K. Vogel, T. Kato, W. P. Schleich, D. Koelle, R. Kleiner, E. Goldobin

摘要:

我们考虑无限长0-κ约瑟夫森结中的分数约瑟夫森涡旋。施加到结的均匀偏置电流施加作用于涡旋的洛伦兹力。当偏置电流变得等于临界(或脱钉)电流时,洛伦兹力撕开整数磁通,并且结切换到电阻状态。在存在热和量子波动的情况下,这种逃逸过程已经在偏置电流的亚临界值下以有限的概率发生。我们分析了逃逸的分数涡映射的约瑟夫森相位动力学的单粒子在亚稳势的动力学,并推导出这种潜在的有效参数。这使我们能够预测逃逸率的行为作为一个函数的拓扑电荷的漩涡。

英文摘要:

We consider a fractional Josephson vortex in an infinitely long 0-kappa Josephson junction. A uniform bias current applied to the junction exerts a Lorentz force acting on a vortex. When the bias current becomes equal to the critical (or depinning) current, the Lorentz force tears away an integer fluxon and the junction switches to the resistive state. In the presence of thermal and quantum fluctuations this escape process takes place with finite probability already at subcritical values of the bias current. We analyze the escape of a fractional vortex by mapping the Josephson phase dynamics to the dynamics of a single particle in a metastable potential and derive the effective parameters of this potential. This allows us to predict the behavior of the escape rate as a function of the topological charge of the vortex.

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