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

Dror Orgad

doi:10.1016/s1386-9477(97)00018-0

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

Dror Orgad^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	86-89
Number of pages	4
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	1
Issue number	1-4
DOIs	https://doi.org/10.1016/s1386-9477(97)00018-0
State	Published - 19 Jan 1997
Externally published	Yes

Keywords

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

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10.1016/s1386-9477(97)00018-0

Cite this

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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.",

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AB - 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.

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

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Keywords

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