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Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges

U. Zuelicke
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Abstract

We consider the low-energy, long-wave-length excitations of a reconstructed quantum-Hall edge where three branches of chiral one-dimensional edge excitations exist. We find that, in addition to forward scattering between the three edge-excitation branches, Coulomb interaction gives rise to a novel Umklapp-type scattering process that cannot be accounted for within a generalized Tomonaga-Luttinger model. We solve the theory including Umklapp processes exactly in the long-wave-length limit and calculate electronic correlation functions.

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U. Zuelicke. 1999-12-06. Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges. https://doi.org/10.1103/physrevlett.83.5330

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