Quantum Hall plateau transition at order 1/N -: art. no. 046801

被引：7

作者：

Moore, JE

Zee, A

Sinova, J

机构：

[1] Bell Labs, Lucent Technol, Murray Hill, NJ 07974 USA

[2] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA

[3] Univ Texas, Dept Phys, Austin, TX 78712 USA

来源：

PHYSICAL REVIEW LETTERS | 2001年 / 87卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.87.046801

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The localization behavior of noninteracting two-dimensional electrons in a random potential and strong magnetic field is of fundamental interest for the physics of the quantum Hall effect. In order to understand the emergence of power-law delocalization near the discrete extended-state energies E-n = (h) over barw(c)(n + 1/2), we study a generalization of the disorder-averaged Liouvillian framework for the lowest Landau level to N flavors of electron densities (N = 1 for the physical case). We find analytically the large-N limit and 1/N corrections for all disorder strengths: at N = infinity this gives an estimate of the critical conductivity, and at order 1/N an estimate of the localization exponent v.

引用

页码：46801 / 1

页数：4

共 50 条

[11] Quantum breakdown of the quantized Hall insulator -: art. no. 241301
Zülicke, U
Shimshoni, E
PHYSICAL REVIEW B, 2001, 63 (24):
[12] Merons in a finite quantum Hall system - art. no. 205321
Milovanovic, MV
PHYSICAL REVIEW B, 2003, 67 (20)
[13] Anderson transition in quantum chaos -: art. no. 244102
García-García, AM
Wang, J
PHYSICAL REVIEW LETTERS, 2005, 94 (24)
[14] Meron excitations in the ν=1 quantum Hall bilayer and the plasma analogy -: art. no. 155306
Milovanovic, MV
Stanic, I
PHYSICAL REVIEW B, 2005, 72 (15):
[15] Theory of the quantum Hall effect at v=1/2 in a wide quantum well -: art. no. 155313
Fujita, S
Okamura, Y
PHYSICAL REVIEW B, 2004, 69 (15) : 155313 - 1
[16] Renormalization group approach to energy level statistics at the integer quantum Hall transition -: art. no. 075307
Cain, P
Römer, RA
Raikh, ME
PHYSICAL REVIEW B, 2003, 67 (07):
[17] Large N quantum time evolution beyond leading order -: art. no. 125003
Ryzhov, AV
Yaffe, LG
PHYSICAL REVIEW D, 2000, 62 (12): : 18
[18] Metamorphosis of the quantum Hall ferromagnet at ν=2/5 -: art. no. 116804
Chen, M
Kang, WW
Wegscheider, W
PHYSICAL REVIEW LETTERS, 2003, 91 (11)
[19] Quantum Hall skyrmion lattices at g≈0 -: art. no. 245102
Sankararaman, S
Shankar, R
PHYSICAL REVIEW B, 2003, 67 (24):
[20] Interlayer transport in bilayer quantum Hall systems -: art. no. 266804
Rossi, E
Núñez, AS
MacDonald, AH
PHYSICAL REVIEW LETTERS, 2005, 95 (26) : 1 - 4

← 1 2 3 4 5 →