ORIGIN OF THE UPSILON=2/5 FRACTIONAL QUANTUM HALL-EFFECT

被引:36
作者
REZAYI, EH [1 ]
MACDONALD, AH [1 ]
机构
[1] INDIANA UNIV,DEPT PHYS,BLOOMINGTON,IN 47405
来源
PHYSICAL REVIEW B | 1991年 / 44卷 / 15期
关键词
D O I
10.1103/PhysRevB.44.8395
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present numerical evidence in support of the view that the physical origin of the fractional quantum Hall effect at v = n/(2n + 1) is associated with the fact that this is the largest filling factor at which an n-component system of electrons can avoid having any pair of electrons occur in a state of relative angular momentum 1. Our calculations, for n = 2, are based on a model in which the Hilbert space is truncated to the two lowest Landau levels and the Landau-level separation, HBAR-omega-c, is a parameter of the model. For HBAR-omega-c = 0 and short-range repulsive interactions, a zero-energy incompressible ground state occurs at v = 2/5. Our numerical results suggest that, in agreement with arguments advanced by J. K. Jain, this incompressibility survives to the strong-field limit HBAR-omega-c = infinity.
引用
收藏
页码:8395 / 8398
页数:4
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