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.

–

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