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Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode

2019/01/18 by Yijia Wu, Haiwen Liu, Jie Liu +3 · 29 citations
Materials Science · Physics and Astronomy · #Charge (physics) #Chemical and Physical Properties of Materials #Degeneracy (biology) #Fractionalization #Generalization #MAJORANA #Quantum and electron transport phenomena #Relation (database) #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1093/nsr/nwz189

published in National Science Review 7(3), 572-578 (Oxford University Press) · 12 pages, 7 figures

arxiv created 2019/01/18 · openalex created_date 2019/01/25 · openalex publication_date 2019/11/15 · arxiv updated 2020/05/01 · openalex updated_date 2026/08/06

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.

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