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

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

2002-07-25

arxiv.org/abs/cond-mat/0207615v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages; accepted in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.89.096801

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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