Li Chuang, Luo Xun-Jiang, Chen Li, Liu Dong E, Zhang Fu-Chun, Liu Xin
School of Physics and Institute for Quantum Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China.
Wuhan National High Magnetic Field Center and Hubei Key Laboratory of Gravitation and Quantum Physics, Wuhan 430074, China.
Natl Sci Rev. 2022 May 17;9(9):nwac095. doi: 10.1093/nsr/nwac095. eCollection 2022 Sep.
To reveal the non-Abelian braiding statistics of Majorana zero modes (MZMs), it is crucial to design a Majorana platform, in which MZMs can be easily manipulated in a broad topological nontrivial parameter space. This is also an essential step to confirm their existence. In this study, we propose an iron-based superconducting nanowire system with Majorana vortex states to satisfy desirable conditions. This system has a radius-induced topological phase transition, giving a lower bound for the nanowire radius. In the topological phase, the iron-based superconducting nanowires have only one pair of MZMs over a wide range of radii, chemical potential and external magnetic fields. The wave function of MZMs has a sizable distribution at the side edge of the nanowires. This property enables the control of the interaction of MZMs in neighboring vortex nanowires and paves the way for Majorana fusion and braiding.
为了揭示马约拉纳零模（MZMs）的非阿贝尔编织统计特性，设计一个马约拉纳平台至关重要，在该平台中，MZMs能够在广阔的拓扑非平凡参数空间中轻松操控。这也是确认其存在的关键一步。在本研究中，我们提出一种具有马约拉纳涡旋态的铁基超导纳米线系统以满足所需条件。该系统具有半径诱导的拓扑相变，给出了纳米线半径的下限。在拓扑相中，铁基超导纳米线在很宽的半径、化学势和外部磁场范围内仅有一对MZMs。MZMs的波函数在纳米线的侧边边缘有可观的分布。这一特性使得能够控制相邻涡旋纳米线中MZMs的相互作用，并为马约拉纳融合和编织铺平了道路。
