Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges

Details Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges

1999-08-16

arxiv.org/abs/cond-mat/9908227v2

Phys. Rev. Lett. 83, 5330 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 figure, final version, to appear in PRL (20Dec1999)

Scientific paper

10.1103/PhysRevLett.83.5330

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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