Resonant tunneling in the fractional quantum Hall effect: Superperiods and braiding statistics

被引:10
|
作者
Jain, JK [1 ]
Shi, CT [1 ]
机构
[1] Penn State Univ, Dept Phys, University Pk, PA 16802 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.96.136802
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study theoretically resonant tunneling of composite fermions through their quasibound states around a fractional quantum Hall island, and find a rich set of possible transitions of the island state as a function of the magnetic field or the backgate voltage. These have possible relevance to a recent experimental study, and reveal many subtleties involved in deducing fractional braiding statistics.
引用
收藏
页数:4
相关论文
共 50 条
  • [31] Edge states tunneling in the fractional, quantum Hall effect: integrability and transport
    Saleur, H
    COMPTES RENDUS PHYSIQUE, 2002, 3 (06) : 685 - 695
  • [32] Temperature-dependent theory of tunneling in the fractional quantum Hall effect
    D'Agosta, Roberto
    Vignale, Giovanni
    Raimondi, Roberto
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2006, 34 (1-2): : 199 - 202
  • [33] Tunneling in fractional quantum Hall line junctions
    Aranzana, M
    Regnault, N
    Jolicoeur, T
    PHYSICAL REVIEW B, 2005, 72 (08):
  • [34] Braiding Non-Abelian Quasiholes in Fractional Quantum Hall States
    Wu, Yang-Le
    Estienne, B.
    Regnault, N.
    Bernevig, B. Andrei
    PHYSICAL REVIEW LETTERS, 2014, 113 (11)
  • [35] Anyonic braiding via quench dynamics in fractional quantum Hall liquids
    Li, Jie
    Ye, Dan
    Jiang, Chen-Xin
    Jiang, Na
    Wan, Xin
    Hu, Zi-Xiang
    PHYSICAL REVIEW B, 2022, 105 (19)
  • [36] Anyonic braiding via quench dynamics in fractional quantum Hall liquids
    Li, Jie
    Ye, Dan
    Jiang, Chen-Xin
    Jiang, Na
    Wan, Xin
    Hu, Zi-Xiang
    arXiv, 2022,
  • [37] Mutual exclusion statistics between quasiparticles in the fractional quantum Hall effect
    Su, WP
    Wu, YS
    Yang, J
    PHYSICAL REVIEW LETTERS, 1996, 77 (16) : 3423 - 3426
  • [38] Proposal for bulk measurement of braid statistics in the fractional quantum Hall effect
    Gattu, Mytraya
    Sreejith, G. J.
    Jain, J. K.
    PHYSICAL REVIEW B, 2024, 110 (20)
  • [39] MUTUAL STATISTICS, BRAID GROUP, AND THE FRACTIONAL QUANTUM HALL-EFFECT
    TING, C
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1992, 6 (19): : 3155 - 3178
  • [40] Transformation of statistics in fractional quantum Hall systems
    Quinn, JJ
    Wójs, A
    Quinn, JJ
    Benjamin, AT
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2001, 11 (2-3): : 182 - 185