Work

Interactions, Localization, and the Integer Quantum Hall Effect

Year: 1995

Type: article

Abstract: 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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.74.3229

Authors: S.-R. Eric Yang, A. H. MacDonald, Bodo Huckestein

Institutions: Institute for Microstructural Sciences, National Research Council Canada, Indiana University Bloomington, Indiana University, University of Cologne

Language: English

Topic: Quantum and electron transport phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2107049610

FWCI: 1.969

Cites: 25

Cited by: 59

Related to: 10