在二阶拓扑超导体中编织马约拉纳角模
介观与纳米尺度物理
2020-09-23 v3
摘要
我们提出一种基于方形二维二阶拓扑螺旋超导体样品的器件概念，该样品在角上容纳两个零维马约拉纳准粒子。这两个零能模依赖于粒子-空穴对称性（PHS），其空间位置可通过旋转面内磁场并调节邻近诱导的自旋单态配对来移动。我们考虑在简并基态流形上执行一个绝热循环，并证明它实现了这两个模的编织，从而在一个循环内累积非平庸统计相位 。结合 PHS 所确保的算符代数，分数统计证实了零能激发的马约拉纳性质。文中给出了此类器件可能实验实现的示意图设计，这或许是迈向实现非阿贝尔编织的一步。
引用
@article{arxiv.1904.07822,
title = {Braiding Majorana corner modes in a second-order topological superconductor},
author = {Tudor E. Pahomi and Manfred Sigrist and Alexey A. Soluyanov},
journal= {arXiv preprint arXiv:1904.07822},
year = {2020}
}
备注
A different physical system is considered in this version (topological superconductor), however, the topological and symmetry features are closely related to those of the two-layer topological insulator of version 2 (arXiv:1904.07822v2). A more accurate distinction is made between the fractional statistics of the Majorana corner states and their potential non-Abelian properties