Arithmetic of the integer quantum Hall effect

被引：1
|
作者：
Srivastava, V [1 ]
机构：
[1] Univ Hyderabad, Sch Phys, Hyderabad 500046, Andhra Pradesh, India
来源：
FOUNDATIONS OF PHYSICS LETTERS | 1998年 / 11卷 / 06期
关键词：
localized states; extended states; mobility gap; floatation of states; critical disorder;
D O I：
10.1023/A:1022184825595
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The integer quantum Hall effect (IQHE) is analysed, considering the degeneracies of localized and extended states separately. Occupied localized and extended states are counted, and their variation is studied as a function of magnetic field. The number of current-carrying electrons is found to have a saw-tooth variation with magnetic field. The analysis addresses certain basic questions in the IQHE, particularly the one about floatation of extended states as the magnetic field tends to zero.
引用
收藏
页码：561 / 571
页数：11
相关论文
共 50 条
  • [1] Quantum graphs and the integer quantum Hall effect
    Goldman, N.
    Gaspard, P.
    [J]. PHYSICAL REVIEW B, 2008, 77 (02)
  • [2] Tunneling in the integer quantum Hall effect
    Bratberg, I
    Hansen, A
    Hauge, EH
    [J]. PROCEEDINGS OF THE ADRIATICO RESEARCH CONFERENCE ON TUNNELING AND ITS IMPLICATIONS, 1997, : 149 - 160
  • [3] Disappearance of integer quantum Hall effect
    Sheng, DN
    Weng, ZY
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (02) : 318 - 321
  • [4] Integer quantum Hall effect in graphite
    Kempa, H
    Esquinazi, P
    Kopelevich, Y
    [J]. SOLID STATE COMMUNICATIONS, 2006, 138 (03) : 118 - 122
  • [5] Integer quantum Hall effect on abacus
    Srivastava, V
    [J]. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1997, 63 (01) : 99 - 104
  • [6] Aspects of the integer quantum hall effect
    Graf, Gian Michele
    [J]. Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday: QUANTUM FIELD THEORY, STATISTICAL MECHANICS, AND NONRELATIVISTIC QUANTUM SYSTEMS, 2007, 76 : 429 - 442
  • [7] The connection between integer quantum hall effect and fractional quantum hall effect
    Koo, Je Huan
    Cho, Guangsup
    [J]. MODERN PHYSICS LETTERS B, 2007, 21 (2-3): : 109 - 113
  • [8] Integer quantum Hall effect in graphene
    Jellal, Ahmed
    [J]. PHYSICS LETTERS A, 2016, 380 (17) : 1514 - 1516
  • [9] Integer Quantum Hall Effect for Bosons
    Senthil, T.
    Levin, Michael
    [J]. PHYSICAL REVIEW LETTERS, 2013, 110 (04)
  • [10] Optical Hall Effect in the Integer Quantum Hall Regime
    Ikebe, Y.
    Morimoto, T.
    Masutomi, R.
    Okamoto, T.
    Aoki, H.
    Shimano, R.
    [J]. PHYSICAL REVIEW LETTERS, 2010, 104 (25)
12345