Composite Fermion Description of the Excitations of the Paired Pfaffian Fractional Quantum Hall State

被引:0
|
作者
Wojs, A. [1 ]
Sreejith, G. J. [2 ]
Moller, G. [3 ]
Toke, C. [4 ]
Jain, J. K. [2 ]
机构
[1] Wroclaw Univ Technol, Inst Phys, PL-50370 Wroclaw, Poland
[2] Penn State Univ, Dept Phys, Davey Lab 104, University Pk, PA 16802 USA
[3] Univ Cambridge, Cavendish Lab, TCM Grp, Cambridge CB3 0HE, England
[4] Univ Pecs, Inst Phys, H-7624 Pecs, Hungary
关键词
2ND LANDAU-LEVEL; ANYONS; QUANTIZATION; COMPUTATION; FLUID;
D O I
10.12693/APhysPolA.120.830
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review the recently developed bipartite composite fermion model for the excitations of the so-called Pfaffian state, a promising model for the fractional quantum Hall effect at the Landau level filling factor v = 5/2. In particular, we demonstrate a necessary ingredient of the non-Abelian braid statistics, namely the degeneracy of spatially indistinguishable configurations of widely separated quasiparticles.
引用
收藏
页码:830 / 838
页数:9
相关论文
共 50 条
  • [41] The unifying role of effective field in the composite fermion model of the fractional quantum Hall effect
    Leadley, DR
    vanderBurgt, M
    Nicholas, RJ
    Gee, PJ
    Singleton, J
    Harris, JJ
    Foxon, CT
    [J]. SURFACE SCIENCE, 1996, 361 (1-3) : 22 - 25
  • [42] Composite fermion picture and the spin states in the fractional quantum Hall system - a numerical study
    Onoda, M
    Mizusaki, T
    Otsuka, T
    Aoki, H
    [J]. PHYSICA B-CONDENSED MATTER, 2001, 298 (1-4) : 173 - 176
  • [43] Composite-fermion picture for the double-layer fractional quantum Hall effect
    Nakajima, T
    Aoki, H
    [J]. SURFACE SCIENCE, 1996, 361 (1-3) : 83 - 86
  • [44] COMPOSITE-FERMION ANALYSIS OF THE DOUBLE-LAYER FRACTIONAL QUANTUM HALL SYSTEM
    NAKAJIMA, T
    AOKI, H
    [J]. PHYSICAL REVIEW B, 1995, 52 (19): : 13780 - 13783
  • [45] Self-duality of the integer quantum Hall to insulator transition: Composite fermion description
    Kumar, Prashant
    Kim, Yong Baek
    Raghu, S.
    [J]. PHYSICAL REVIEW B, 2019, 100 (23)
  • [46] Andreev-like Reflection in the Pfaffian Fractional Quantum Hall Effect
    Ohashi, Ryoi
    Nakai, Ryota
    Yokoyama, Takehito
    Tanaka, Yukio
    Nomura, Kentaro
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2022, 91 (12)
  • [47] Stability of the particle-hole Pfaffian state and the 5/2-fractional quantum Hall effect
    Rezayi, Edward H.
    Pakrouski, Kiryl
    Haldane, F. D. M.
    [J]. PHYSICAL REVIEW B, 2021, 104 (08)
  • [48] Tunneling effect on the composite fermion pairing state in bilayer quantum Hall systems
    Morinari, T
    [J]. PHYSICAL REVIEW B, 2002, 65 (11) : 1 - 5
  • [49] Dirac fermion spectrum of the fractional quantum Hall states
    Karnaukhov, I. N.
    [J]. CONDENSED MATTER PHYSICS, 2023, 26 (02)
  • [50] Numerical Calculation of the Neutral Fermion Gap at the ν=5/2 Fractional Quantum Hall State
    Bonderson, Parsa
    Feiguin, Adrian E.
    Nayak, Chetan
    [J]. PHYSICAL REVIEW LETTERS, 2011, 106 (18)