Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges

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.

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

References in corpus (1)

• Quantum dots in magnetic fields: Phase diagram and broken symmetry of the Chamon-Wen edge

Cited by in corpus (6)

• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Conductance oscillations in strongly correlated fractional quantum Hall line junctions
• Strongly Correlated Fractional Quantum Hall Line Junctions
• Umklapp scattering at reconstructed quantum-Hall edges
• RG study of a non local sine-Gordon model
• Non local Thirring model with backward and umklapp interactions