COULOMB INTERACTIONS AND THE INTEGER QUANTUM HALL-EFFECT - SCREENING AND TRANSPORT

被引:61
|
作者
COOPER, NR
CHALKER, JT
机构
[1] Theoretical Physics, University of Oxford, Oxford OX1 3NP
来源
PHYSICAL REVIEW B | 1993年 / 48卷 / 07期
关键词
D O I
10.1103/PhysRevB.48.4530
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We examine the influence of Coulomb interactions on the integer quantum Hall effect in high-mobility, wide spacer-layer heterostructures. In these devices, the potential due to disorder is expected to be smooth on the scale of the spacer-layer thickness, which can be much larger than the magnetic length. Screening of this potential is accompanied by large fluctuations in electron density and has dramatic consequences. In particular, the screened potential can be pinned to the Fermi energy in regions of the sample, and these regions can percolate over a range of Landau-level filling fractions. We present a theory for transport that includes screening within the Thomas-Fermi approximation. Considering the Hall conductance as a function of filling fraction, we show that risers between quantized Hall plateaus acquire a finite width in the presence of Coulomb interactions. We also show that, under certain circumstances, current flows within the sample only along narrow strips, concentrated around particular contours of the equilibrium electron density.
引用
收藏
页码:4530 / 4544
页数:15
相关论文
共 50 条
  • [21] KUBO HALL CONDUCTIVITY ON A FINITE CYLINDER AND THE INTEGER QUANTUM HALL-EFFECT
    HAJDU, J
    JANSSEN, M
    VIEHWEGER, O
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1987, 66 (04): : 433 - 439
  • [22] FIELD-THEORY IN A STRONG MAGNETIC-FIELD AND THE QUANTUM HALL-EFFECT - INTEGER HALL-EFFECT
    IMAI, N
    ISHIKAWA, K
    MATSUYAMA, T
    TANAKA, I
    PHYSICAL REVIEW B, 1990, 42 (16): : 10610 - 10640
  • [23] PEAK VALUES OF CONDUCTIVITY IN INTEGER AND FRACTIONAL QUANTUM HALL-EFFECT
    ROKHINSON, LP
    SU, B
    GOLDMAN, VJ
    SOLID STATE COMMUNICATIONS, 1995, 96 (05) : 309 - 312
  • [24] 2-BODY INTERACTIONS IN THE INTEGER QUANTUM HALL-EFFECT - A PATH-INTEGRAL APPROACH
    DECARVALHO, CA
    BARCI, DG
    MORICONI, L
    PHYSICAL REVIEW B, 1994, 50 (07) : 4648 - 4657
  • [25] EXPERIMENTS ON INELASTIC-SCATTERING IN THE INTEGER QUANTUM HALL-EFFECT
    CHOW, E
    WEI, HP
    PHYSICAL REVIEW B, 1995, 52 (19): : 13749 - 13752
  • [26] CHERN NUMBER AND EDGE STATES IN THE INTEGER QUANTUM HALL-EFFECT
    HATSUGAI, Y
    PHYSICAL REVIEW LETTERS, 1993, 71 (22) : 3697 - 3700
  • [27] GENERALIZED GAUGE-INVARIANCE AND THE INTEGER QUANTUM HALL-EFFECT
    CZERWINSKI, M
    BROWN, E
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 432 (1884): : 43 - 54
  • [28] COULOMB GAS VERTEX OPERATORS FOR THE FRACTIONAL QUANTUM HALL-EFFECT
    CRISTOFANO, G
    MAIELLA, G
    MUSTO, R
    NICODEMI, F
    PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 1992, (107): : 195 - 203
  • [29] Influence of interactions on Integer Quantum Hall Effect
    Zhang, C. X.
    Zubkov, M. A.
    ANNALS OF PHYSICS, 2022, 444
  • [30] The transport mechanism of the integer quantum Hall effect
    Hui, Tan
    LiMing, W.
    Liang, Shi-Dong
    EUROPEAN PHYSICAL JOURNAL B, 2016, 89 (11):