CORRECTIONS TO SCALING IN THE INTEGER QUANTUM HALL-EFFECT

被引：58

作者：

HUCKESTEIN, B ^{[1
]}

机构：

[1] PRINCETON UNIV,DEPT ELECT ENGN,PRINCETON,NJ 08544

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.72.1080

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Finite-size corrections to scaling laws in the centers of Landau levels are studied systematically by numerical calculations. The corrections can account for the apparent nonuniversality of the localization length exponent nu. In the second lowest Landau level the irrelevant scaling index is Yirr = -0.38 +/- 0.04. At the center of the lowest Landau level an additional periodic potential is found to be irrelevant with the same scaling index. These results suggest that the localization length exponent nu is universal with respect to the Landau level index and an additional periodic potential.

引用

页码：1080 / 1083

页数：4

共 19 条

[1]

[Anonymous], 1983, PHASE TRANSITIONS CR

[2] CRITICAL LOCALIZATION IN 2-DIMENSIONAL LANDAU QUANTIZATION [J].

AOKI, H ;

ANDO, T .

PHYSICAL REVIEW LETTERS, 1985, 54 (08) :831-834

[3] PERCOLATION, QUANTUM TUNNELLING AND THE INTEGER HALL-EFFECT [J].

CHALKER, JT ;

CODDINGTON, PD .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1988, 21 (14) :2665-2679

[4]

CHALKER JT, UNPUB

[5]

Dongzi Liu, 1993, Modern Physics Letters B, V7, P449, DOI 10.1142/S0217984993000448

[6]

EASTMOND JFG, 1992, THESIS OXFORD U

[7] ONE-PARAMETER SCALING IN THE LOWEST LANDAU BAND - PRECISE DETERMINATION OF THE CRITICAL-BEHAVIOR OF THE LOCALIZATION LENGTH [J].

HUCKESTEIN, B ;

KRAMER, B .

PHYSICAL REVIEW LETTERS, 1990, 64 (12) :1437-1440

[8] SCALING AND UNIVERSALITY IN THE INTEGER QUANTUM HALL-EFFECT [J].

HUCKESTEIN, B .

EUROPHYSICS LETTERS, 1992, 20 (05) :451-456

[9]

HUCKESTEIN B, IN PRESS SURF SCI

[10] CURRENT-CARRYING STATES IN THE LOWEST LANDAU-LEVEL [J].

HUO, Y ;

BHATT, RN .

PHYSICAL REVIEW LETTERS, 1992, 68 (09) :1375-1378

← 1 2 →