A derivation of the Tomonaga-Luttinger model for the edges of Laughlin states

Dror Orgad*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The chiral Tomonaga-Luttinger model is obtained as the low-energy limit of the Chern-Simons theory for fractional quantum Hall effect systems with v = 1/∅ for odd ∅. 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.

Original languageAmerican English
Pages (from-to)86-89
Number of pages4
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Volume1
Issue number1-4
DOIs
StatePublished - 19 Jan 1997
Externally publishedYes

Keywords

  • Chern-Simons theory
  • Fractional quantum Hall effect
  • Tomonaga-Luttinger model

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