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

被引:26
作者
Jain, J. K. [1 ]
机构
[1] Penn State Univ, Dept Phys, University Pk, PA 16802 USA
关键词
Composite fermions; Fractional quantum Hall effect; Quantum liquid; COMPOSITE FERMIONS; SPIN POLARIZATION; WIGNER CRYSTAL; WAVE-FUNCTIONS; STATES; HIERARCHY; EXCITATIONS; STATISTICS; MAGNETOTRANSPORT; PARTICLES;
D O I
10.1007/s12648-014-0491-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
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:15
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