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

Dror Orgad
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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.

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Dror Orgad. 1997-02-14. From the Chern-Simons theory for the fractional quantum Hall effect to the Luttinger model of its edges. https://doi.org/10.1103/physrevlett.79.475

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