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

• 来源期刊: 国家科学评论（英文版）
• 关键词: Jackiw-Rebbi zero-mode Aharanov-Bohm effect non-Abelian statistics Majorana zero-mode
• 年，卷（期）: 2020,（3）
• 页码范围: 572-578
• 页数: 7页
• 语种: 英文
• DOI: 10.1093/nsr/nwz189

摘要

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 theJackiw-gebbi 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.