Enhancement of topological regime in elongated Josephson junctions

D. Kuiri, P. Wójcik, M. P. Nowak
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Abstract

We theoretically study topological superconductivity in elongated planar Josephson junctions. Josephson junctions host a topological phase accompanied by the presence of zero-energy Majorana-bound states in a certain region of the superconducting phase difference with a span determined by the strength of an external magnetic field. We demonstrate that the topological superconducting phase range can be greatly increased by elongation of the junction, which causes an amplification of the Zeeman-induced phase shift of Andreev bound states. We show that the appearance of trivial in-gap states that occurs in elongated junctions can prohibit the creation of Majorana modes, but it can be mitigated by further proximitization of the junction with additional superconducting contacts. The topological transition in this system can be probed by measurements of the critical current and we show that the elongation of the junction leads to a linear decrease of the transition critical magnetic field beneficial for experimental studies.
增强拉长约瑟夫森结的拓扑机制
我们从理论上研究了细长平面约瑟夫森结中的拓扑超导现象。约瑟夫森结具有拓扑相位,在超导相位差的一定区域内存在零能马约拉纳束缚态,其跨度由外部磁场强度决定。我们证明了拓扑超导相位范围可以通过拉长结点而大大增加,这导致了安德烈耶夫束缚态的泽曼诱导相移的放大。我们的研究表明,在拉长的结中出现的琐碎间隙态会阻碍马约拉纳模式的产生,但如果用额外的超导触点对结进行进一步的近似化处理,则可以缓解这一现象。该系统中的拓扑转变可以通过测量临界电流来预测,我们的研究表明,结的拉长会导致转变临界磁场的线性减小,这对实验研究非常有利。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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