From the Chern-Simons Theory for the Fractional Quantum Hall Effect to the Tomonaga-Luttinger Model of Its Edges

Dror Orgad
Phys. Rev. Lett. 79, 475 – Published 21 July 1997
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Abstract

The chiral Tomonaga-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.

  • Received 18 February 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.475

©1997 American Physical Society

Authors & Affiliations

Dror Orgad

  • Department of Condensed Matter Physics, The Weizmann Institute of Science, Rehovot 76100, Israel

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Vol. 79, Iss. 3 — 21 July 1997

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