Splitting of the quantum Hall transition in disordered graphenes

被引:44
作者
Koshino, Mikito [1 ]
Ando, Tsuneya [1 ]
机构
[1] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan
关键词
D O I
10.1103/PhysRevB.75.033412
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Integer quantum Hall effect is studied for a noninteracting electron in a monolayer graphene. We calculate the Hall conductivity within a single Landau level in the presence of randomness in the bond couplings and in the on-site potential, and estimate the critical energies for the quantum Hall transition. We show that valley-degenerated (K and K-' points) Landau levels contain two displaced critical energies indicating that an extra Hall plateau appears inside, while the localization is found to be much stronger in the Landau level N=0 than in N=1.
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页数:4
相关论文
共 31 条
[1]   Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes [J].
Alicea, Jason ;
Fisher, Matthew P. A. .
PHYSICAL REVIEW B, 2006, 74 (07)
[2]   Theory of electronic states and transport in carbon nanotubes [J].
Ando, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (03) :777-817
[3]   THEORY OF QUANTUM TRANSPORT IN A 2-DIMENSIONAL ELECTRON-SYSTEM UNDER MAGNETIC-FIELDS .1. CHARACTERISTICS OF LEVEL BROADENING AND TRANSPORT UNDER STRONG FIELDS [J].
ANDO, T ;
UEMURA, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1974, 36 (04) :959-967
[4]   SCALING FUNCTIONS IN QUANTUM HALL-EFFECT [J].
ANDO, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1986, 55 (09) :3199-3209
[5]   Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics [J].
Berger, C ;
Song, ZM ;
Li, TB ;
Li, XB ;
Ogbazghi, AY ;
Feng, R ;
Dai, ZT ;
Marchenkov, AN ;
Conrad, EH ;
First, PN ;
de Heer, WA .
JOURNAL OF PHYSICAL CHEMISTRY B, 2004, 108 (52) :19912-19916
[6]   Unconventional integer quantum Hall effect in graphene [J].
Gusynin, VP ;
Sharapov, SG .
PHYSICAL REVIEW LETTERS, 2005, 95 (14)
[7]   EFFECT OF SPIN DEGENERACY ON SCALING IN THE QUANTUM HALL REGIME [J].
HANNA, CB ;
AROVAS, DP ;
MULLEN, K ;
GIRVIN, SM .
PHYSICAL REVIEW B, 1995, 52 (07) :5221-5232
[8]   Optical phonon interacting with electrons in carbon nanotubes [J].
Ishikawa, Kohta ;
Ando, Tsuneya .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2006, 75 (08)
[9]   Landau-level mixing and spin degeneracy in the quantum Hall effect [J].
Kagalovsky, V ;
Horovitz, B ;
Avishai, Y .
PHYSICAL REVIEW B, 1997, 55 (12) :7761-7770
[10]  
KHMELNITSKII DE, 1992, HELV PHYS ACTA, V65, P164