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arXiv 1806.01192cond-mat.mes-hallmath-phmath.MP
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细超导导线中的持续电流

Persistent current in a thin superconducting wire

Ilya Vilkoviskiy

摘要:

在本文中,我们探讨了薄超导导线中的持续电流,并准确地检查相位滑移对电流的影响。本文的主要结果是由一类(非线性)积分方程的解导出持续电流的计算公式。这个方程允许找到在长(小)长度的导线的电流的渐近,在该文件中,我们感兴趣的区域中,系统成为强相互作用和非常少量的信息可以提取的扰动理论。然而,由于可积性,可以获得电流的精确结果。我们观察到在长导线的极限处,电流指数地变小,我们认为这是相位滑移可能破坏长导线的超导性的信号,低于BKT相变。

英文摘要:

In this paper, we explore the persistent current in thin superconducting wires and accurately examine the effects of the phase slips on that current. The main result of the paper is the formula for persistent current in terms of the solutions of certain (nonlinear) integral equation. This equation allows to find asymptotics of the current at long(small) length of the wire, in that paper, we interested in the region in which the system becomes strongly interacting and very few amounts of information can be extracted by perturbation theory. Nevertheless, due to the integrability, exact results for the current can be obtained. We observe that at the limit of a long wire, the current becomes exponentially small, we believe that it is the signal that phase slips may destroy superconductivity for long wires, below BKT phase transition.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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