Influence of Majorana Bound States in Quantum Rings,Annalen Der Physik

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Influence of Majorana Bound States in Quantum Rings
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-08-19 , DOI: 10.1002/andp.202000199
Fabián Medina ₁ , Juan Pablo Ramos‐Andrade ₁ , Luis Rosales ₁ , Pedro Orellana ₁

Affiliation

A quantum ring coupled to a 1D topological superconductor hosting Majorana bound states (MBSs) is investigated. The MBSs effects over the spectrum and persistent current along the quantum ring are studied. The spectra of the system are obtained by an exact numerical diagonalization of the Bogoliubov‐de Gennes Hamiltonian in the Majorana representation. In addition, Green's function formalism is implemented for analytical calculations and obtained a switching condition in the MBSs fermionic parity. Three different patterns that could be obtained for the spatial separation of the MBSs, named: bowtie, diamond, and asymmetric, are reported here, which are present only in odd parity in the quantum ring, while only a single pattern (bowtie) is obtained for even parity. Those patterns are subject strictly to the switching condition for the MBSs. Besides, quantum ring with the presence of a Majorana zero mode presents gapped/gapless spectra in odd/even parity showing in the even case a subtle signature in the persistent current.

中文翻译：

Majorana束缚态在量子环中的影响

研究了耦合到一维拓扑超导体的量子环，该一维拓扑超导体承载着马里亚纳束缚态（MBS）。研究了MBSs在频谱上的影响以及沿量子环的持续电流。该系统的光谱是通过在马约拉纳表示中的Bogoliubov-de Gennes哈密顿量的精确数值对角化获得的。此外，格林函数形式主义被用于分析计算，并获得了MBSs铁离子奇偶校验中的转换条件。此处报告了MBS空间分离可获得的三种不同模式，分别为：领结，菱形和不对称，仅在量子环中以奇偶校验出现，而仅获得一种模式（领结）。为了实现均等。这些模式必须严格遵守MBS的切换条件。

更新日期：2020-08-19

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