1999/08/31 by U. Zülicke, U. Zuelicke · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.83.5330
published as Phys. Rev. Lett. 83, 5330 (1999) · 5 pages, 1 figure, final version, to appear in PRL (20Dec1999)
arxiv created 1999/12/06 · openalex publication_date 1999/12/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We consider the low-energy, long-wavelength 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 an 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-wavelength limit and calculate electronic correlation functions.