A note contrasting two microscopic theories of the fractional quantum Hall effect

被引:0
作者
Jainendra K. Jain
机构
[1] Pennsylvania State University,Department of Physics, 104 Davey Laboratory
来源
Indian Journal of Physics | 2014年 / 88卷
关键词
Composite fermions; Fractional quantum Hall effect; Quantum liquid; 73.43.-f; 71.10.Pm;
D O I
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中图分类号
学科分类号
摘要
Two microscopic theories have been proposed for the explanation of the fractional quantum Hall effect, namely the Haldane–Halperin hierarchy theory and the composite fermion theory. Contradictory statements have been made regarding the relation between them, ranging from their being distinct to their being completely equivalent. This article attempts to provide a clarification of the issue. It is shown that the two theories postulate distinct microscopic mechanisms for the origin of the fractional quantum Hall effect, and make substantially different predictions that have allowed experiments to distinguish between them.
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页码:915 / 929
页数:14
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共 351 条
[21]  
Hansson TH(1991)Nonabelions in the fractional quantum Hall effect Nucl. Phys. B 360 362-undefined
[22]  
Hermans M(2000)Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect Phys. Rev. B 61 10267-undefined
[23]  
Viefers S(1977)On the Theory of Identical Particles Il Nouvo Cimento 37B 1-undefined
[24]  
Surosa J(1986)Microscopic Wavefunctions for the Fractional Quantized Hall States at Phys. Rev. B 34 3037-undefined
[25]  
Viefers S(1987) and 2/7 Z. Phys. B 68 391-undefined
[26]  
Hansson TH(1994)Monte Carlo Evaluation of Trial Wavefunctions for the Fractional Quantized Hall Effect: Spherical Geometry Phys. Lett. B 336 48-undefined
[27]  
Bonderson P(2002)Microscopic formulation of the HH hierarchy of quantized Hall states Phys. Rev. B 66 155302-undefined
[28]  
Papic Z(2000)Theoretical search for the nested quantum Hall effect of composite fermions Phys E 6 1-undefined
[29]  
Kvorning T(1996)Composite fermions and the fractional quantum Hall effect: essential role of the pseudopotential Phys. Rev. Lett. 76 339-undefined
[30]  
Wen XG(2001)Fermi Liquid Shell Model Approach to Composite Fermion Excitation Spectra in Fractional Quantum Hall States Phys. Rev. Lett. 87 256803-undefined