COLLECTIVE-COORDINATE ACTION FOR CHARGED SIGMA-MODEL VORTICES IN FINITE GEOMETRIES

被引：0

作者：

ALLEN, TJ

机构：

来源：

MODERN PHYSICS LETTERS A | 1993年 / 8卷 / 19期

关键词：

D O I：

10.1142/S0217732393001537

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We apply the method of Lund to formulate a variational principle for the motion of charged vortices in an effective nonlinear Schrodinger field theory describing finite size two-dimensional quantum Hall samples under the influence of an arbitrary perpendicular magnetic field. Freezing out variations in the modulus of the effective field yields a U(1) sigma-model. A duality transformation on the sigma-model reduces the problem to finding the Green function for a related electrostatics problem. This duality connects the plasma analogy to the Laughlin wave function directly to a vortex gas description of the fractional quantum Hall effect.

引用

页码：1815 / 1820

页数：6

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