Integer quantum Hall effect in a square lattice revisited

被引:8
作者
Maiti, Santanu K. [1 ]
Dey, Moumita [2 ]
Karmakar, S. N. [2 ]
机构
[1] Tel Aviv Univ, Sch Chem, IL-69978 Tel Aviv, Israel
[2] Saha Inst Nucl Phys, Theoret Condensed Matter Phys Div, Kolkata 700064, India
关键词
Quantum Hall effect; Landauer-Buttiker formalism; Landauer-Keldysh formalism; Lattice model; MASSLESS DIRAC FERMIONS; CONDUCTANCE; RESISTANCE;
D O I
10.1016/j.physleta.2012.03.008
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the phenomenon of integer quantum Hall effect in a square lattice, subjected to a perpendicular magnetic field, through Landauer-Buttiker formalism within the tight-binding framework. The oscillating nature of longitudinal resistance and near complete suppression of momentum relaxation processes are examined by studying the flow of charge current using Landauer-Keldysh prescription. Our analysis for the lattice model corroborates the finding obtained in the continuum model and provides a simple physical understanding. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:1366 / 1370
页数:5
相关论文
共 22 条
  • [1] EFFECT OF LOCALIZATION ON THE HALL CONDUCTIVITY IN THE TWO-DIMENSIONAL SYSTEM IN STRONG MAGNETIC-FIELDS
    AOKI, H
    ANDO, T
    [J]. SOLID STATE COMMUNICATIONS, 1981, 38 (11) : 1079 - 1082
  • [2] QUANTIZATION OF THE HALL CONDUCTANCE FOR GENERAL, MULTIPARTICLE SCHRODINGER HAMILTONIANS
    AVRON, JE
    SEILER, R
    [J]. PHYSICAL REVIEW LETTERS, 1985, 54 (04) : 259 - 262
  • [3] Datta S., 1997, Electronic transport in mesoscopic systems, DOI DOI 10.1063/1.2807624
  • [4] QUANTIZED HALL CONDUCTANCE, CURRENT-CARRYING EDGE STATES, AND THE EXISTENCE OF EXTENDED STATES IN A TWO-DIMENSIONAL DISORDERED POTENTIAL
    HALPERIN, BI
    [J]. PHYSICAL REVIEW B, 1982, 25 (04): : 2185 - 2190
  • [5] THE QUANTUM HALL-EFFECT AND RESISTANCE STANDARDS
    HARTLAND, A
    [J]. METROLOGIA, 1992, 29 (02) : 175 - 190
  • [6] Conductance of bilayer graphene in the presence of a magnetic field: Effect of disorder
    Hatami, H.
    Abedpour, N.
    Qaiumzadeh, A.
    Asgari, Reza
    [J]. PHYSICAL REVIEW B, 2011, 83 (12):
  • [7] Janssen M., 1994, INTRO THEORY INTEGER
  • [8] Localization in the quantum Hall regime
    Kramer, B
    Kettemann, S
    Ohtsuki, T
    [J]. PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2003, 20 (1-2) : 172 - 187
  • [9] LAUGHLIN RB, 1981, PHYS REV B, V23, P5632, DOI 10.1103/PhysRevB.23.5632
  • [10] Disorder-Induced Enhancement of Transport through Graphene p-n Junctions
    Long, Wen
    Sun, Qing-feng
    Wang, Jian
    [J]. PHYSICAL REVIEW LETTERS, 2008, 101 (16)