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Article overview
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Collective Coordinate Action for Charged Sigma-Model Vortices in Finite Geometries | | Theodore J. Allen
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28 Jul 1992 | | Journal: | Mod.Phys.Lett. A8 (1993) 1815-1820 | | Subject: | hep-th | | Abstract: | In this Letter the method of Lund is applied to formulate a variational principle for the motion of charged vortices in an effective non-linear Schrödinger 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 illuminates the plasma analogy to the Laughlin wave function. | | Source: | arXiv, hep-th/9207093 | | Services: | Forum | Review | PDF | Favorites | |
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