Landau level mixing and levitation of extended states in two dimensions

被引:50
作者
Haldane, FDM [1 ]
Yang, K [1 ]
机构
[1] PRINCETON UNIV,DEPT ELECT ENGN,PRINCETON,NJ 08544
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.78.298
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the effects of mixing of different Landau-levels on the energies of one-body states, in the presence of a strong uniform magnetic field and a random potential in two dimensions. We use a perturbative approach and develop a systematic expansion in both the strength and smoothness of the random potential. We find the energies of the extended states shift upward and the amount of levitation is proportional to (n + 1/2)/B-3 for strong magnetic field, where B is the magnetic field strength and n is the Landau level index.
引用
收藏
页码:298 / 301
页数:4
相关论文
共 26 条
[1]   SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].
ABRAHAMS, E ;
ANDERSON, PW ;
LICCIARDELLO, DC ;
RAMAKRISHNAN, TV .
PHYSICAL REVIEW LETTERS, 1979, 42 (10) :673-676
[3]  
BASKIN EM, 1978, ZH EKSP TEOR FIZ, V48, P365
[4]   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
[5]   TRANSMISSION COEFFICIENT OF AN ELECTRON THROUGH A SADDLE-POINT POTENTIAL IN A MAGNETIC-FIELD [J].
FERTIG, HA ;
HALPERIN, BI .
PHYSICAL REVIEW B, 1987, 36 (15) :7969-7976
[6]   DESTRUCTION OF THE QUANTUM HALL-EFFECT WITH INCREASING DISORDER [J].
FURNEAUX, JE ;
KRAVCHENKO, SV ;
MASON, WE ;
BOWKER, GE ;
PUDALOV, VM .
PHYSICAL REVIEW B, 1995, 51 (23) :17227-17230
[7]   FORMALISM FOR THE QUANTUM HALL-EFFECT - HILBERT-SPACE OF ANALYTIC-FUNCTIONS [J].
GIRVIN, SM ;
JACH, T .
PHYSICAL REVIEW B, 1984, 29 (10) :5617-5625
[8]   FATE OF THE DELOCALIZED STATES IN A VANISHING MAGNETIC-FIELD [J].
GLOZMAN, I ;
JOHNSON, CE ;
JIANG, HW .
PHYSICAL REVIEW LETTERS, 1995, 74 (04) :594-597
[9]   Short-range impurity in the vicinity of a saddle point and the levitation of the two-dimensional delocalized states in a magnetic field [J].
Gramada, A ;
Raikh, ME .
PHYSICAL REVIEW B, 1996, 54 (03) :1928-1935
[10]  
Haldane F. D. M., 1990, QUANTUM HALL EFFECT