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- Title
Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode.
- Authors
Wu, Yijia; Liu, Haiwen; Liu, Jie; Jiang, Hua; Xie, X C
- Abstract
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.
- Subjects
AHARONOV-Bohm effect; NONABELIAN groups; MAJORANA fermions; SUPERCONDUCTIVITY
- Publication
National Science Review, 2020, Vol 7, Issue 3, p572
- ISSN
2095-5138
- Publication type
Article
- DOI
10.1093/nsr/nwz189