马约拉纳费米子非局域性的研究

因为量子信息可以存储在一对空间分离的马约拉纳费米子中，马约拉纳费米子的非局域性吸引了人们广泛的研究兴趣。本项目将从理论上研究不同类型的马约拉纳费米子的非局域关联性质。主要研究内容包括：(1)利用石墨烯纳米带的谷自由度和赝宇称实现马约拉纳费米子的非局域输运；(2)探索马约拉纳费米子的非局域性对局域输运过程的影响；(3)马约拉纳费米子在不同能量范围内的非局域响应。该项目的研究将对理解三种不同类型的马约拉纳费米子的拓扑保护性以及设计非局域调控的量子拓扑器件打下一定的理论基础。

The inherent non-local property of Majorana Fermions in condensed matter systems has attracted substantial attention recently, because quantum information can be stored no-locally in a pair of spatially separated Majorana Fermions as needed to realize topological quantum computation. In this proposal, we will investigate the non-locally cross-correlating property of different type of Majorana Fermions. We mainly focus on (1) realization of Majorana Fermions-induced nonlocal transport by tuning the valley freedom and pseudoparity of grapheme nanoribbons; (2) the influence of non-locality of Majorana fermions on local transport processes; (3) the non-local response of Majorana Fermions at different excitation energies. The proposal is expected to shed light on understanding the topological protection of three type of Majorana Fermions and devising the quantum topological devices based on nonlocal regulation.