Integer quantum Hall effect of interacting electrons: dynamical scaling and critical conductivity

Details Integer quantum Hall effect of interacting electrons: dynamical scaling and critical conductivity Integer quantum Hall effect of interacting electrons: dynamical scaling and critical conductivity

1998-07-03

arxiv.org/abs/cond-mat/9807054v2

Phys. Rev. Lett. 82, 5100-5103 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Minor changes. Final version to be published in Phys. Rev. Lett. June 28

Scientific paper

10.1103/PhysRevLett.82.5100

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=1 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 non-interacting electrons, independent of the strength of the interaction.

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