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arXiv 2202.00593cond-mat.mes-hall
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封装双层石墨烯中的 Majorana 束缚态

Majorana bound states in encapsulated bilayer graphene

Fernando Peñaranda, Ramón Aguado, Elsa Prada, Pablo San-Jose

AI总结:

提出用过渡金属二硫化物封装双层石墨烯,在弱面内 Zeeman 场和常规超导邻近效应下实现 p 波拓扑超导,并验证角上 MBSs 及其缺陷韧性与 4π Josephson 信号。

摘要:

对稳健拓扑超导和 Majorana 束缚态的探索仍在继续,研究人员同时考察半导体纳米线等一维(1D)系统和二维(2D)平台。在本工作中,我们研究一种基于封装于过渡金属二硫化物中的石墨烯双层的二维方案;不同于以往涉及石墨烯量子霍尔区的提议,该方案需要更弱的磁场,且不依赖相互作用。封装会在石墨烯双层中诱导强自旋—轨道耦合,从而打开可观的能隙并稳定脆弱的螺旋边缘态对。我们表明,当面内 Zeeman 场作用时,通过从侧面使扶手椅型边缘与常规超导体接触,可将其转化为 p 波一维拓扑超导体。我们证明,在晶体学完美的薄片样品角上会出现 Majorana 束缚态(MBSs);根据参数不同,这些态属于 D 或 BDI 对称类。我们计算了相图、MBSs 对缺陷的韧性,以及它们在 Josephson 结几何中作为 4π 周期效应的表现;所有结果均表明存在一个实验可及的拓扑相。

英文摘要:

The search for robust topological superconductivity and Majorana bound states continues, exploring both one-dimensional (1D) systems such as semiconducting nanowires and two-dimensional (2D) platforms. In this work we study a 2D approach based on graphene bilayers encapsulated in transition metal dichalcogenides that, unlike previous proposals involving the Quantum Hall regime in graphene, requires weaker magnetic fields and does not rely on interactions. The encapsulation induces strong spin-orbit coupling on the graphene bilayer, which opens a sizeable gap and stabilizes fragile pairs of helical edge states. We show that, when subject to an in-plane Zeeman field, armchair edges can be transformed into p-wave one-dimensional topological superconductors by contacting them laterally with conventional superconductors. We demonstrate the emergence of Majorana bound states (MBSs) at the sample corners of crystallographically perfect flakes, belonging either to the D or the BDI symmetry classes depending on parameters. We compute the phase diagram, the resilience of MBSs against imperfections, and their manifestation as a 4$π$-periodic effect in Josephson junction geometries, all suggesting the existence of a topological phase within experimental reach.

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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