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arXiv 1206.4596cond-mat.mes-hallcond-mat.supr-con
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非拓扑常规超导体-正常超导体结中分数交流约瑟夫森效应的可能性

On the possibility of the fractional ac Josephson effect in non-topological conventional superconductor-normal-superconductor junctions

Jay D. Sau, Erez Berg, Bertrand I. Halperin

摘要:

拓扑超导体支持非阿贝尔统计的马约拉纳费米子目前是一个激烈的理论和实验工作的主题。有人提出,观察半频或分数约瑟夫森效应是一个更可靠的测试拓扑超导性比搜索结束零模式。低能端模可能由于杂质而意外发生。事实上,在半导体纳米线系统中已经观察到分数约瑟夫森效应。本文研究了有限电压下常规s波超导体-正常金属-超导体结中的交流约瑟夫森效应。使用Floquet-Keldysh处理的有限电压结,我们表明,从结耗散的功率,这措施的交流约瑟夫森效应,可以显示在约瑟夫森频率的一半(甚至不相称的分数)的峰值。一个类似的结论是保持夏皮罗步骤测量。交流分数约瑟夫森峰也可以简单地理解为与结的Andreev束缚态谱相关的朗道-齐纳过程。

英文摘要:

Topological superconductors supporting Majorana Fermions with non-abelian statistics are presently a subject of intense theoretical and experimental effort. It has been proposed that the observation of a half-frequency or a fractional Josephson effect is a more reliable test for topological superconductivity than the search for end zero modes. Low-energy end modes can occur accidentally due to impurities. In fact, the fractional Josephson effect has been observed for the semiconductor nanowire system. Here we consider the ac Josephson effect in a conventional s-wave superconductor-normal metal-superconductor junction at a finite voltage. Using a Floquet-Keldysh treatment of the finite voltage junction, we show that the power dissipated from the junction, which measures the ac Josephson effect, can show a peak at half (or even incommensurate fractions) of the Josephson frequency. A similar conclusion is shown to hold for the Shapiro step measurement. The ac fractional Josephson peak can also be understood simply in terms of Landau-Zener processes associated with the Andreev bound state spectrum of the junction.

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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