CONJECTURE CONCERNING THE FRACTIONAL HALL HIERARCHY

被引:31
作者
GROS, C [1 ]
MACDONALD, AH [1 ]
机构
[1] INDIANA UNIV,DEPT PHYS,BLOOMINGTON,IN 47405
来源
PHYSICAL REVIEW B | 1990年 / 42卷 / 15期
关键词
D O I
10.1103/PhysRevB.42.9514
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 a conjecture concerning the hierarchy of incompressible states that are responsible for the fractional quantum Hall effect (FQHE). We propose that for filling factors in the range 1/3 2) / 3, the FQHE occurs only when =n=n/(2n+1) (or when =1-n) and at no other fractional filling factors with odd denominators. If correct, this conjecture would imply that important qualitative features of the hierarchy physics of the FQHE are not understood. © 1990 The American Physical Society.
引用
收藏
页码:9514 / 9521
页数:8
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