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From the Chern-Simons theory for the fractional quantum Hall effect to the Luttinger model of its edges
Published 1997-02-14Version 1
The chiral Luttinger model for the edges of the fractional quantum Hall effect is obtained as the low energy limit of the Chern-Simons theory for the two dimensional system. In particular we recover the Kac-Moody algebra for the creation and annihilation operators of the edge density waves and the bosonization formula for the electronic operator at the edge.
Comments: 4 pages, LaTeX, 1 Postscript figure included
Journal: Phys. Rev. Lett. 79, 475 (1997)
Categories: cond-mat.mes-hall
Keywords: fractional quantum hall effect, chern-simons theory, low energy limit, chiral luttinger model, edge density waves
Tags: journal article
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