Relevance of Inter-Composite-Fermion Interaction to the Edge Tomonaga-Luttinger Liquid

Sudhansu S. Mandal, Jainendra K. Jain

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

It is shown that Wen’s effective theory correctly describes the Tomonaga-Luttinger liquid at the edge of a system of noninteracting composite fermions. However, the weak residual interaction between composite fermions is found to be a relevant perturbation. The filling factor dependence of the Tomonaga-Luttinger parameter is estimated for interacting composite fermions in a microscopic approach and satisfactory agreement with experiment is achieved. It is suggested that the electron field operator may not have a simple representation in the effective one-dimensional theory.

Original languageEnglish (US)
JournalPhysical Review Letters
Volume89
Issue number9
DOIs
StatePublished - Jan 1 2002

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fermions
composite materials
liquids
interactions
operators
perturbation
electrons

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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Relevance of Inter-Composite-Fermion Interaction to the Edge Tomonaga-Luttinger Liquid. / Mandal, Sudhansu S.; Jain, Jainendra K.

In: Physical Review Letters, Vol. 89, No. 9, 01.01.2002.

Research output: Contribution to journalArticle

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AB - It is shown that Wen’s effective theory correctly describes the Tomonaga-Luttinger liquid at the edge of a system of noninteracting composite fermions. However, the weak residual interaction between composite fermions is found to be a relevant perturbation. The filling factor dependence of the Tomonaga-Luttinger parameter is estimated for interacting composite fermions in a microscopic approach and satisfactory agreement with experiment is achieved. It is suggested that the electron field operator may not have a simple representation in the effective one-dimensional theory.

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