Model for Dissipative Conductance in Fractional Quantum Hall States

被引:23
|
作者
d'Ambrumenil, N. [1 ]
Halperin, B. I. [2 ]
Morf, R. H. [3 ]
机构
[1] Univ Warwick, Dept Phys, Coventry CV4 7AL, W Midlands, England
[2] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA
[3] Paul Scherrer Inst, CH-5232 Villigen, Switzerland
基金
美国国家科学基金会;
关键词
MAGNETIC-FIELD; LANDAU-LEVEL; CONDUCTIVITY; ELECTRON; CHARGE; EXCITATIONS; DENSITY;
D O I
10.1103/PhysRevLett.106.126804
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a model of dissipative transport in the fractional quantum Hall regime. Our model takes account of tunneling through saddle points in the effective potential for excitations created by impurities. We predict the temperature range over which activated behavior is observed and explain why this range nearly always corresponds to around a factor two in temperature in both integer quantum Hall and fractional quantum Hall systems. We identify the ratio of the gap observed in the activated behavior and the temperature of the inflection point in the Arrhenius plot as an important diagnostic for determining the importance of tunneling in real samples.
引用
收藏
页数:4
相关论文
共 50 条
  • [1] Imaging the Conductance of Integer and Fractional Quantum Hall Edge States
    Pascher, Nikola
    Roessler, Clemens
    Ihn, Thomas
    Ensslin, Klaus
    Reichl, Christian
    Wegscheider, Werner
    PHYSICAL REVIEW X, 2014, 4 (01):
  • [2] Fractional Quantum Hall States of Photons in an Array of Dissipative Coupled Cavities
    Umucalilar, R. O.
    Carusotto, I.
    PHYSICAL REVIEW LETTERS, 2012, 108 (20)
  • [3] Model fractional quantum Hall states and Jack polynomials
    Bernevig, B. Andrei
    Haldane, F. D. M.
    PHYSICAL REVIEW LETTERS, 2008, 100 (24)
  • [4] Localization and conductance in fractional quantum Hall edges
    Yutushui, Misha
    Park, Jinhong
    Mirlin, Alexander D.
    PHYSICAL REVIEW B, 2024, 110 (03)
  • [5] CONDUCTANCE THROUGH A QUANTUM DOT IN THE FRACTIONAL QUANTUM HALL REGIME
    KINARET, JM
    MEIR, YG
    WINGREEN, NS
    LEE, P
    WEN, XG
    PHYSICAL REVIEW B, 1992, 45 (16): : 9489 - 9492
  • [6] ANALYTICALLY SOLVABLE MICROSCOPIC MODEL OF FRACTIONAL QUANTUM HALL STATES
    JOHNSON, NF
    QUIROGA, L
    SOLID STATE COMMUNICATIONS, 1994, 89 (08) : 661 - 664
  • [7] Conductance fluctuations at the fractional quantum Hall plateau transitions
    Kee, HY
    Kim, YB
    Abrahams, E
    Bhatt, RN
    PHYSICAL REVIEW B, 1998, 58 (19): : 12605 - 12608
  • [8] FRACTIONAL QUANTUM HALL STATES IN GRAPHENE
    Jellal, Ahmed
    Malika, Bellati
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2010, 7 (01) : 143 - 164
  • [9] Magnetization of the fractional quantum Hall states
    Meinel, I
    Hengstmann, T
    Grundler, D
    Heitmann, D
    Wegscheider, W
    Bichler, M
    PHYSICAL REVIEW LETTERS, 1999, 82 (04) : 819 - 822
  • [10] CONDUCTANCE SUM-RULE FOR THE HIERARCHICAL EDGE STATES OF THE FRACTIONAL QUANTUM HALL-EFFECT
    MA, ZS
    CHEN, YX
    SU, ZB
    PHYSICAL REVIEW B, 1994, 50 (04): : 2232 - 2235