Interactions, localization, and the integer quantum hall effect

Sung Ryul Yang, A. H. MacDonald, Bodo Huckestein

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We report on numerical studies of the influence of Coulomb interactions on the localization of electronic wave functions 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 interactions have no effect on the critical exponent characterizing the diverging localization length, no effect on the fractal dimension of the second moment of the extended wave functions, and no effect on Thouless number estimates of the maximum dissipative conductivity.

Original languageEnglish
Pages (from-to)3229-3232
Number of pages4
JournalPhysical Review Letters
Issue number16
Publication statusPublished - 1995 Dec 1
Externally publishedYes


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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