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.

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页码：9514 / 9521

页数：8

相关论文

共 27 条

[1] ELECTRONIC-PROPERTIES OF TWO-DIMENSIONAL SYSTEMS [J].

ANDO, T ;

FOWLER, AB ;

STERN, F .

REVIEWS OF MODERN PHYSICS, 1982, 54 (02) :437-672

[2]

Chakraborty T., 1988, FRACTIONAL QUANTUM H

[3] EXPERIMENTAL TESTS OF FRACTIONAL QUANTUM HALL-EFFECT THEORY [J].

CLARK, RG ;

MALLETT, JR ;

USHER, A ;

SUCKLING, AM ;

NICHOLAS, RJ ;

HAYNES, SR ;

JOURNAUX, Y ;

HARRIS, JJ ;

FOXON, CT .

SURFACE SCIENCE, 1988, 196 (1-3) :219-235

[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]

DAMBRUMENIL N, 1980, PHYS REV, V40, P6108

[6] EVIDENCE FOR THE FRACTIONAL QUANTUM HALL STATE AT V = 1/7 [J].

GOLDMAN, VJ ;

SHAYEGAN, M ;

TSUI, DC .

PHYSICAL REVIEW LETTERS, 1988, 61 (07) :881-884

[7] FRACTIONAL QUANTIZATION OF THE HALL-EFFECT - A HIERARCHY OF INCOMPRESSIBLE QUANTUM FLUID STATES [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1983, 51 (07) :605-608

[8]

HALDANE FDM, 1987, QUANTUM HALL EFFECT

[9] STATISTICS OF QUASIPARTICLES AND THE HIERARCHY OF FRACTIONAL QUANTIZED HALL STATES [J].

HALPERIN, BI .

PHYSICAL REVIEW LETTERS, 1984, 52 (18) :1583-1586

[10] COMPOSITE-FERMION APPROACH FOR THE FRACTIONAL QUANTUM HALL-EFFECT [J].

JAIN, JK .

PHYSICAL REVIEW LETTERS, 1989, 63 (02) :199-202