From the Chern-Simons theory for the fractional quantum Hall effect to the Luttinger model of its edges

Abstract

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.

4 pages, LaTeX, 1 Postscript figure included

Cited by in corpus (5)

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• Bosonization for Wigner-Jordan-like Transformation : Backscattering and Umklapp-processes on Fictitious Lattice
• Correlated tunneling and the instability of the fractional quantum Hall edge
• The Tomonaga-Luttinger Model and the Chern-Simons Theory for the Edges of Multi-layer Fractional Quantum Hall Systems
• Charge and current oscillations in Fractional quantum Hall systems with edges