VECTOR-MEAN-FIELD THEORY OF THE FRACTIONAL QUANTUM HALL-EFFECT

被引：12

作者：

REJAEI, B

BEENAKKER, CWJ

机构：

[1] Instituut-Lorentz, University of Leiden, 2300 RA Leiden

来源：

PHYSICAL REVIEW B | 1992年 / 46卷 / 23期

关键词：

D O I：

10.1103/PhysRevB.46.15566

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A mean-field theory of the fractional quantum Hall effect is formulated based on the adiabatic principle of Greiter and Wilczek. The theory is tested on known bulk properties (excitation gap, fractional charge, and statistics), and then applied to a confined region in a two-dimensional electron gas (quantum dot). For a small number N of electrons in the dot, the exact ground-state energy has cusps at the same angular momentum values as the mean-field theory. For large N, Wen's algebraic decay of the probability for resonant tunneling through the dot is reproduced, albeit with a different exponent.

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页码：15566 / 15569

页数：4

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