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

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

1997-02-14

arxiv.org/abs/cond-mat/9702137v1

Phys. Rev. Lett. 79, 475 (1997)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, LaTeX, 1 Postscript figure included

Scientific paper

10.1103/PhysRevLett.79.475

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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