Wu Yijia, Liu Haiwen, Liu Jie, Jiang Hua, Xie X C
International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China.
Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China.
Natl Sci Rev. 2020 Mar;7(3):572-578. doi: 10.1093/nsr/nwz189. Epub 2019 Nov 22.
Ever since its first proposal in 1976, Jackiw-Rebbi zero-mode has been drawing extensive attention for its charming properties including charge fractionalization, topologically protected zero-energy and possible non-Abelian statistics. We investigate these properties through the Jackiw-Rebbi zero-modes in quantum spin Hall insulators. Though charge fractionalization is not manifested, Jackiw-Rebbi zero-mode's zero-energy nature leads to a double-frequency Aharonov-Bohm effect, implying that it can be viewed as a special case of Majorana zero-mode without particle-hole symmetry. Such relation is strengthened for Jackiw-Rebbi zero-modes also exhibiting non-Abelian properties in the absence of superconductivity. Furthermore, in the condition that the degeneracy of Jackiw-Rebbi zero-modes is lifted, we demonstrate a novel non-Abelian braiding with continuously tunable fusion rule, which is a generalization of Majorana zero-modes' braiding properties.
自1976年首次提出以来，Jackiw-Rebbi零模因其迷人的性质，包括电荷分数化、拓扑保护的零能量以及可能的非阿贝尔统计，一直备受广泛关注。我们通过量子自旋霍尔绝缘体中的Jackiw-Rebbi零模来研究这些性质。虽然电荷分数化未表现出来，但Jackiw-Rebbi零模的零能量性质导致了双频阿哈罗诺夫-玻姆效应，这意味着它可被视为没有粒子-空穴对称性的马约拉纳零模的一种特殊情况。对于在没有超导性时也表现出非阿贝尔性质的Jackiw-Rebbi零模，这种关系得到了加强。此外，在Jackiw-Rebbi零模简并被解除的条件下，我们展示了一种具有连续可调融合规则的新型非阿贝尔编织，这是马约拉纳零模编织性质的一种推广。
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