arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1607.01707cond-mat.str-el
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正常-超导混合环中持续电流的传输矩阵法

Transfer matrix approach to the persistent current in hybrid normal-superconducting rings

Andrea Nava, Rosa Giuliano, Gabriele Campagnano, Domenico Giuliano

摘要:

利用一维量子力学系统的传输矩阵的性质,我们推导出一种技术,以精确计算持续电流通过混合正常超导介观环刺穿的磁通量φ作为一个单一的积分系统的参数的一个已知的函数。我们的方法在零温度下提供了精确的结果,这可以很容易地扩展到远低于超导能隙的有限温度T。我们应用我们的技术,通过p波和s波超导正常的混合环的持续电流,恢复一次的一些效果,如交叉在当前的周期性增加环的大小和签名的拓扑相变的p波的情况下。在一个大的环尺寸的限制,诉诸于系统的扩展在环长度的逆幂,我们推导出精确的解析封闭形式的公式,适用于一些情况下的物理利益。

英文摘要:

Using the properties of the transfer matrix of one-dimensional quantum mechanical systems, we derive a technique to exactly compute the persistent current across a hybrid normal-superconducting-mesoscopic ring pierced by a magnetic flux Phi as a single integral of a known function of the system's parameters. Our approach provides exact results at zero temperature, which can be readily extended to finite temperatures T much below the superconducting gap. We apply our technique to derive the persistent current through p-wave and s-wave superconducting-normal hybrid rings, recovering at once a number of effects such as the crossover in the current periodicity on increasing the size of the ring and the signature of the topological phase transition in the p-wave case. In the limit of a large ring size, resorting to a systematic expansion in inverse powers of the ring length, we derive exact analytic closed-form formulas, applicable to a number of cases of physical interest.

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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