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

Sudhansu S. Mandal, Jainendra K. Jain

Research output: Contribution to journalArticle

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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 - 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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