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• W2138713464 abstract "We derive a microscopic theory of the composite fermions describing the low-lying edge excitations in the fractional quantum Hall liquid. Using the composite fermion transformation, one finds that the edge states of the $ensuremath{nu}=1/m$ system in a disk sample are described by, in the one dimensional limit, the Calogero-Sutherland model with other interactions between the composite fermions as perturbations. It is shown that a large class of short-range interactions renormalize only the Fermi velocity while the exponent $g=ensuremath{nu}=1/m$ is invariant under the condition of chirality. By taking the sharp edge potential into account, we obtain a microscopic justification of the chiral Luttinger liquid model of the fractional quantum Hall edge states. The approach applied to the $ensuremath{nu}=1/m$ system can be generalized to the other edge states with odd denominator filling factors." @default.
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• W2138713464 date "1997-11-15" @default.
• W2138713464 modified "2023-09-23" @default.
• W2138713464 title "Microscopic picture of a chiral Luttinger liquid: Composite fermion theory of edge states" @default.
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• W2138713464 doi "https://doi.org/10.1103/physrevb.56.13279" @default.
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