UNIVERSAL PREFACTOR OF ACTIVATED CONDUCTIVITY IN THE QUANTUM HALL-EFFECT

被引:47
作者
POLYAKOV, DG [1 ]
SHKLOVSKII, BI [1 ]
机构
[1] UNIV MINNESOTA,INST PHYS THEOR,MINNEAPOLIS,MN 55455
关键词
D O I
10.1103/PhysRevLett.74.150
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The prefactor of the activated dissipative conductivity in a plateau range of the quantum Hall effect is studied in the case of a long-range random potential. It is shown that due to the long time it takes for an electron to drift along the perimeter of a large percolation cluster, phonons are able to maintain quasiequilibrium inside the cluster. The saddle points separating such clusters may then be viewed as ballistic point contacts between electron reservoirs with different electrochemical potentials. The network of ballistic conductances is shown to determine the conductivity. The prefactor is universal and equal to 2e2h at an integer filling factor. © 1994 The American Physical Society.
引用
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页码:150 / 153
页数:4
相关论文
共 23 条
[1]   QUASI-PARTICLE CHARGE AND THE ACTIVATED CONDUCTANCE OF A QUANTUM HALL LIQUID - COMMENT [J].
BHATT, RN ;
READ, N ;
HUCKESTEIN, B .
PHYSICAL REVIEW LETTERS, 1993, 71 (16) :2678-2678
[2]   BALLISTIC CONDUCTANCE OF INTERACTING ELECTRONS IN THE QUANTUM HALL REGIME [J].
CHKLOVSKII, DB ;
MATVEEV, KA ;
SHKLOVSKII, BI .
PHYSICAL REVIEW B, 1993, 47 (19) :12605-12617
[3]   SPIN CONFIGURATIONS AND QUASI-PARTICLE FRACTIONAL CHARGE OF FRACTIONAL QHE GROUND-STATES IN THE N=0 LANDAU-LEVEL [J].
CLARK, RG ;
HAYNES, SR ;
BRANCH, JV ;
SUCKLING, AM ;
WRIGHT, PA ;
OSWALD, PMW ;
HARRIS, JJ ;
FOXON, CT .
SURFACE SCIENCE, 1990, 229 (1-3) :25-30
[4]   EXPERIMENTAL-DETERMINATION OF FRACTIONAL CHARGE E/Q FOR QUASIPARTICLE EXCITATIONS IN THE FRACTIONAL QUANTUM HALL-EFFECT [J].
CLARK, RG ;
MALLETT, JR ;
HAYNES, SR ;
HARRIS, JJ ;
FOXON, CT .
PHYSICAL REVIEW LETTERS, 1988, 60 (17) :1747-1750
[5]   GROUND-STATES OF INTERACTING ELECTRONS IN THE EXTREME QUANTUM LIMIT [J].
CLARK, RG .
PHYSICA SCRIPTA, 1991, T39 :45-60
[6]   SCALING BEHAVIOR OF THE ACTIVATED CONDUCTIVITY IN A QUANTUM HALL LIQUID [J].
DASSARMA, S ;
LIU, DZ .
PHYSICAL REVIEW B, 1993, 48 (12) :9166-9169
[7]   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
[8]  
Gantmakher V F., 1987, CARRIER SCATTERING M
[9]   HOPPING MODEL FOR ACTIVATED CHARGE TRANSPORT IN AMORPHOUS SILICON [J].
GRUNEWALD, M ;
THOMAS, P .
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1979, 94 (01) :125-133
[10]   PERCOLATION, STATISTICAL TOPOGRAPHY, AND TRANSPORT IN RANDOM-MEDIA [J].
ISICHENKO, MB .
REVIEWS OF MODERN PHYSICS, 1992, 64 (04) :961-1043