1998/07/31 by Bodo Huckestein, Michael Backhaus · 41 citations
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Condensed matter physics #Conductivity #Coulomb #Critical exponent #Electron #Exponent #Hartree #Landau quantization #Magnetic field #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Scaling #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.82.5100
published in Physical Review Letters 82(25), 5100-5103 (American Physical Society) · Minor changes. Final version to be published in Phys. Rev. Lett. June 28
arxiv created 1999/06/06 · openalex publication_date 1999/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We report on a study of interaction effects on the polarization of a disordered two-dimensional electron system in a strong magnetic field. Treating the Coulomb interaction within the time-dependent Hartree-Fock approximation, we find numerical evidence for dynamical scaling with a dynamical critical exponent z\phantom\rule0ex0ex=\phantom\rule0ex0ex1 at the integer quantum Hall plateau transition in the lowest Landau level. Within the numerical accuracy of our data the conductivity at the transition and the anomalous diffusion exponent are given by the values for noninteracting electrons, independent of the strength of the interaction.