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

Sudhansu S. Mandal, Jainendra K. Jain

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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
Issue number9
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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