Supersymmetry and unconventional quantum Hall effect in monolayer, bilayer and trilayer graphene

被引:32
作者
Ezawa, Motohiko [1 ]
机构
[1] Univ Tokyo, Dept Phys, Tokyo 1130033, Japan
关键词
graphene; quantum Hall effects; Landau levels; supersymmetry;
D O I
10.1016/j.physe.2007.06.038
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
We present a unified description of the quantum Hall effect in monolayer, bilayer and trilayer graphene based on the supersymmetric formalism. The key property is that the Zeeman splitting is exactly as large as the Landau level separation for Dirac electrons. It follows that the zero-energy state emerges and that the nonzero-energy states make a supermultiplet made of the up-spin and down-spin states coming from different Landau levels. Analyzing Coulomb effects on the nonzero-energy states, we derive a remarkable result that the effective Coulomb potential depends on spins in each energy level. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:269 / 272
页数:4
相关论文
共 19 条
[1]   ELECTRONIC STATES OF CARBON NANOTUBES [J].
AJIKI, H ;
ANDO, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1993, 62 (04) :1255-1266
[2]   Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes [J].
Alicea, Jason ;
Fisher, Matthew P. A. .
PHYSICAL REVIEW B, 2006, 74 (07)
[3]   THEORY OF OSCILLATORY G-FACTOR IN AN MOS INVERSION LAYER UNDER STRONG MAGNETIC-FIELDS [J].
ANDO, T ;
UEMURA, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1974, 37 (04) :1044-1052
[4]   Topological solitons in the noncommutative plane and quantum Hall Skyrmions [J].
Ezawa, ZF ;
Tsitsishvili, G .
PHYSICAL REVIEW D, 2005, 72 (08)
[5]   Electron interactions in graphene in a strong magnetic field [J].
Goerbig, M. O. ;
Moessner, R. ;
Doucot, B. .
PHYSICAL REVIEW B, 2006, 74 (16)
[6]   Electronic states and Landau levels in graphene stacks [J].
Guinea, F. ;
Castro Neto, A. H. ;
Peres, N. M. R. .
PHYSICAL REVIEW B, 2006, 73 (24)
[7]   Excitonic gap, phase transition, and quantum Hall effect in graphene [J].
Gusynin, V. P. ;
Miransky, V. A. ;
Sharapov, S. G. ;
Shovkovy, I. A. .
PHYSICAL REVIEW B, 2006, 74 (19)
[8]   Unconventional integer quantum Hall effect in graphene [J].
Gusynin, VP ;
Sharapov, SG .
PHYSICAL REVIEW LETTERS, 2005, 95 (14)
[9]  
MCCANN E, 2006, PHYS REV LETT, V95
[10]   Quantum Hall ferromagnetism in graphene [J].
Nomura, Kentaro ;
MacDonald, Allan H. .
PHYSICAL REVIEW LETTERS, 2006, 96 (25)