1996/09/27 by Y. Avishai, J. M. Luck, Avishai, Y. +1
Computer Science · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #Quantum-Dot Cellular Automata #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9609265
REVTeX, 11 pages, 5 figures
arxiv created 1996/09/27 · openalex publication_date 1996/09/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate dynamical scaling properties in the integer quantum Hall effect for non-interacting electrons at zero temperature, by means of the frequency-induced peak broadening of the dissipative longitudinal conductivity σxx(ω). This quantity is calculated numerically in the lowest Landau level for various values of the Fermi energy E, of the frequency ω, and of the system size L. Data for the width W(ω,L) of the peak are analyzed by means of the dynamical finite-size scaling law W(ω,L)≈ L-1/νf(ωLz), where ν is the static critical exponent of the localization length, and z is the dynamical exponent. A fit of the data, assuming ν=2.33 is known, yields z=1.19± 0.13. This result indicates that the dynamical exponent in the integer quantum Hall effect may be different from the pertinent space dimension (d=2), even in the absence of interactions between electrons.