Perfectly conducting channel and universality crossover in disordered graphene nanoribbons

被引:191
作者
Wakabayashi, Katsunori [1 ]
Takane, Yositake
Sigrist, Manfred
机构
[1] Hiroshima Univ, AsSM, Dept Quantum Matter, Higashihiroshima 7398530, Japan
[2] ETH Honggerberg, CH-8093 Zurich, Switzerland
[3] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
关键词
D O I
10.1103/PhysRevLett.99.036601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The band structure of graphene ribbons with zigzag edges have two valleys well separated in momentum space, related to the two Dirac points of the graphene spectrum. The propagating modes in each valley contain a single chiral mode originating from a partially flat band at the band center. This feature gives rise to a perfectly conducting channel in the disordered system, if the impurity scattering does not connect the two valleys, i.e., for long-range impurity potentials. Ribbons with short-range impurity potentials, however, through intervalley scattering display ordinary localization behavior. The two regimes belong to different universality classes: unitary for long-range impurities and orthogonal for short-range impurities.
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页数:4
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共 25 条
  • [1] Presence of perfectly conducting channel in metallic carbon nanotubes
    Ando, T
    Suzuura, H
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2002, 71 (11) : 2753 - 2760
  • [2] Impurity scattering in carbon nanotubes - Absence of back scattering
    Ando, T
    Nakanishi, T
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (05) : 1704 - 1713
  • [3] Electronic confinement and coherence in patterned epitaxial graphene
    Berger, Claire
    Song, Zhimin
    Li, Xuebin
    Wu, Xiaosong
    Brown, Nate
    Naud, Cecile
    Mayou, Didier
    Li, Tianbo
    Hass, Joanna
    Marchenkov, Atexei N.
    Conrad, Edward H.
    First, Phillip N.
    de Heer, Wait A.
    [J]. SCIENCE, 2006, 312 (5777) : 1191 - 1196
  • [4] Electronic states of graphene nanoribbons studied with the Dirac equation
    Brey, L
    Fertig, HA
    [J]. PHYSICAL REVIEW B, 2006, 73 (23):
  • [5] Peculiar localized state at zigzag graphite edge
    Fujita, M
    Wakabayashi, K
    Nakada, K
    Kusakabe, K
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (07) : 1920 - 1923
  • [6] Unconventional integer quantum Hall effect in graphene
    Gusynin, VP
    Sharapov, SG
    [J]. PHYSICAL REVIEW LETTERS, 2005, 95 (14)
  • [8] HIROSE K, UNPUB
  • [9] Observation of zigzag and armchair edges of graphite using scanning tunneling microscopy and spectroscopy
    Kobayashi, Y
    Fukui, K
    Enoki, T
    Kusakabe, K
    Kaburagi, Y
    [J]. PHYSICAL REVIEW B, 2005, 71 (19)
  • [10] Phase analysis of quantum oscillations in graphite
    Luk'yanchuk, IA
    Kopelevich, Y
    [J]. PHYSICAL REVIEW LETTERS, 2004, 93 (16) : 166402 - 1