Interactions, Localization, and the Integer Quantum Hall Effect

Details Interactions, Localization, and the Integer Quantum Hall Effect Interactions, Localization, and the Integer Quantum Hall Effect

1995-01-06

arxiv.org/abs/cond-mat/9501019v1

Physics

Condensed Matter

10 pages, latex (revtex 3.0), 3 figures are avaiable from S.R. Eric Yang (e-mail yang@cm7.phy.nrc.ca)

Scientific paper

10.1103/PhysRevLett.74.3229

We report on numerical studies of the influence of Coulomb interactions on localization of electronic wavefunctions in a strong magnetic field. Interactions are treated in the Hartree-Fock approximation. Localization properties are studied both by evaluating participation ratios of Hartree-Fock eigenfunctions and by studying the boundary-condition dependence of Hartree-Fock eigenvalues. We find that localization properties are independent of interactions. Typical energy level spacings near the Fermi level and the sensitivity of those energy levels to boundary condition show similar large enhancements so that the Thouless numbers of the Hartree-Fock eigenvalues are similar to those of non-interacting electrons.

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