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
暂无
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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[31]  
Chang AM(2004)Stripe Formation in the Fractional Quantum Hall Regime Phys. Rev. B 69 205322-undefined
[32]  
Willett RL(2014)Fractional quantum Hall states of clustered composite fermions Phys. Rev. Lett. 112 016801-undefined
[33]  
Eisenstein JP(2002)Enigmatic 4/11 state: A prototype for unconventional fractional quantum Hall effect Phys. Rev. Lett. 88 176802-undefined
[34]  
Stormer HL(2003)Transition from an Electron Solid to the Sequence of Fractional Quantum Hall States at Very Low Landau Level Filling Factor Phys. Rev. Lett. 90 016801-undefined
[35]  
Tsui DC(1993)Fractional Quantum Hall Effect of Composite Fermions Phys. Rev. Lett. 71 153-undefined
[36]  
Gossard AC(1993)Mixed-spin incompressible states in the fractional quantum Hall effect Phys. Rev. Lett. 70 2944-undefined
[37]  
English JH(1994)Experimental evidence for new particles in the fractional quantum Hall effect Phys. Rev. Lett. 73 3270-undefined
[38]  
Moore G(1995)Signatures of a Novel Fermi Liquid in a Two-Dimensional Composite Particle Metal Phys. Rev. Lett. 75 3926-undefined
[39]  
Read N(1997)Fractional Quantum Hall Effect around Phys. Rev. B 55 R7351-undefined
[40]  
Read N(1999): Composite Fermions with a Spin Phys. Rev. Lett. 82 3665-undefined