1996/07/23 by Jung Hoon Han, J. H. Han, D. J. Thouless · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat
paper · pdf · doi:10.1103/physrevb.55.r1926
7 pages, Revtex, 1 figure
arxiv created 1996/07/23 · openalex publication_date 1997/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We work out the dynamics of the compressible edge of the quantum Hall system based on the electrostatic model of Chklovskii et al. We introduce a generalized version of Wen's hydrodynamic quantization of the dynamics of sharp edge and rederive Aleiner and Glazman's earlier result of multiple density modes. Bosonic operators of density excitations are used to construct a fermion operator and the one-particle Green's function. We also analyze the dynamics starting with the second-quantized Hamiltonian in the lowest Landau level and work out the time development of density operators within the random-phase approximation and recover the classical result for low energy. The scattering due to impurities are considered within the second-order perturbation theory and are shown to be very weak.