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

ORAL

Abstract

Ever since its first proposal in 1976, Jackiw-Rebbi zero-mode has been drawing extensive attention for its charming properties including charge fractional quantization, topologically protected zero-energy and possible non-Abelian statistics. We numerically investigate the Jackiw-Rebbi zero-mode in a quantum spin Hall insulator heterostructure and show that its zero-energy nature leads to a double-frequency Aharonov-Bohm effect in electronic transport. Such observation suggests that Majorana zero-mode could be viewed as a special case of Jackiw-Rebbi zero-mode. Moreover, similar to the Majorana zero-modes, Jackiw-Rebbi zero-modes also show non-Abelian braiding properties in a cross-shaped junction. However, such non-Abelian property can be destroyed by infinitesimal disorder breaking charge-conjugation symmetry, implying the presence of charge-conjugation symmetry is of equal importance as the topological gap in the topological quantum computation.

*The work was funded by NSFC (11534001), National Key R and D Program of China (2017YFA0303301), NBRP of China (2015CB921102).

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Presenters

  • Yijia Wu

    • International Center for Quantum Materials, Peking University
    • International Center for Quantum Materials, School of Physics, Peking University, Beijing, China

Authors

  • Yijia Wu

    • International Center for Quantum Materials, Peking University
    • International Center for Quantum Materials, School of Physics, Peking University, Beijing, China

  • Jie Liu

    • Department of Applied Physics, School of Science, Xian Jiaotong University, Xian, China

  • Haiwen Liu

    • Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing, China
    • Department of Physics, Beijing Normal University

  • Hua Jiang

    • Soochow University
    • School of Physical Science and Technology, Soochow University
    • College of Physics, Optoelectronics and Energy, Soochow University, Suzhou, China

  • Xincheng Xie

    • International Center for Quantum Materials, Peking University
    • International Center for Quantum Materials, School of Physics , Peking University, Beijing
    • International Center for Quantum Materials, School of Physics, Peking University, Beijing, China