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Relevance of inter-composite fermion interaction to the edge Tomonaga-Luttinger liquid

Sudhansu S. Mandal·Jainendra K. Jain
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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 non-interacting composite fermions. However, the weak residual interaction between composite fermions appears 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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Sudhansu S. Mandal, Jainendra K. Jain. 2002-07-25. Relevance of inter-composite fermion interaction to the edge Tomonaga-Luttinger liquid. https://doi.org/10.1103/physrevlett.89.096801

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