Numerical Study on Fractionally Charged Zero-Modes in Quantum Hall Systems

ORAL

Abstract

Fractionally charged fermions possessing non-Abelian statistics have been attracting wide attention for its potential application on topological quantum computation. Recently, experimental evidence of 3/2 fractional quantum Hall plateau has been observed in a single layer two-dimensional electron gas with confinement. We propose that the novel 3/2 plateau can be formed through tunneling-induced topological phase transition. Such topological phase transition, accompanied with Jackiw-Rebbi type zero-modes possessing non-Abelian statistics, has also been proposed in quantum spin Hall system. We present numerical evidence for the existence and transport properties of these fractionally charged zero-modes in quantum Hall systems.

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Presenters

  • Yijia Wu

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

Authors

  • Yijia Wu

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

  • Hua Jiang

    • College of Physics, Optoelectronics and Energy, Soochow University

  • Jie Liu

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

  • Haiwen Liu

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

  • Xincheng Xie

    • International Center for Quantum Materials and School of Physics, Peking University
    • Peking University
    • International Center for Quantum Materials, Peking University
    • International Center for Quantum Materials, School of Physics, Peking University
    • Peking Univ