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.
引用
收藏
页码：915 / 929
页数：14
相关论文
共 351 条
[1]  
Tsui DC(1982)Two-dimensional magnetotransport in the extreme quantum limit Phys. Rev. Lett. 48 1559-20
[2]  
Stormer HL(1983)Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations Phys. Rev. Lett. 50 1395-78
[3]  
Gossard AC(1983)Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States Phys. Rev. Lett. 51 605-undefined
[4]  
Laughlin RB(1984)Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States Phys. Rev. Lett. 52 1583-undefined
[5]  
Haldane FDM(1989)Composite-fermion approach for the fractional quantum Hall effect Phys. Rev. Lett. 63 199-undefined
[6]  
Halperin BI(1991)Fractional quantum Hall effect and Chern-Simons gauge theories Phys. Rev. B 44 5246-undefined
[7]  
Jain JK(1993)Theory of the half-filled Landau level Phys. Rev. B 47 7312-undefined
[8]  
Lopez A(1993)Half Filled Landau Level Yields Intriguing Data and Theory Phys Today 46 17-undefined
[9]  
Fradkin E(2000)The composite fermion: A quantum particle and its quantum fluids Physics Today 53 39-undefined
[10]  
Halperin BI(2003)Composite Fermions and the Fermion-Chern-Simons Theory Phys E 20 71-undefined
12345678910