Umklapp scattering at reconstructed quantum-Hall edges

Details Umklapp scattering at reconstructed quantum-Hall edges Umklapp scattering at reconstructed quantum-Hall edges

1999-10-06

arxiv.org/abs/cond-mat/9910073v1

Physica E 6, 104 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure, uses elsart.cls and phbauth.cls (both are included), contribution to EP2DS-13, to be published in Physica E

Scientific paper

10.1016/S1386-9477(99)00069-7

We study the low-lying excitations of a quantum-Hall sample that has undergone edge reconstruction such that there exist three branches of chiral edge excitations. Among the interaction processes that involve electrons close to the three Fermi points is a new type of Umklapp-scattering process which has not been discussed before. Using bosonization and a refermionization technique, we obtain exact results for electronic correlation functions and discuss the effect Umklapp scattering has on the Luttinger-liquid properties of quantum-Hall edges.

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