2010/05/23 by Shivakumar Jolad, Diptiman Sen, J. K. Jain +1 · 26 citations
Computer Science · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Condensed matter physics #Dispersion (optics) #Electron #Enhanced Data Rates for GSM Evolution #Excitation #Exponent #Nonlinear system #Physics #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Roton #Superfluid helium-4 #Superfluidity #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.82.075315
published in Physical Review B 82(7) (American Physical Society) · 15 pages with 10 figures. Submitted to Physical Review B
arxiv created 2010/05/23 · openalex publication_date 2010/08/13 · arxiv updated 2010/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
According to Wen's theory, a universal behavior of the fractional quantum Hall edge is expected at sufficiently low energies, where the dispersion of the elementary edge excitation is linear. A microscopic calculation shows that the actual dispersion is indeed linear at low energies, but deviates from linearity beyond certain energy, and also exhibits an ``edge roton minimum.'' We determine the edge exponent from a microscopic approach, and find that the nonlinearity of the dispersion makes a surprisingly small correction to the edge exponent even at energies higher than the roton energy. We explain this insensitivity as arising from the fact that the energy at maximum spectral weight continues to show an almost linear behavior up to fairly high energies. We also study, in an effective-field theory, how interactions modify the exponent for a reconstructed edge with multiple edge modes. Relevance to experiment is discussed.