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A self-consistent approach to the localization-delocalization problem of the quantum Hall effect

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Zeitschrift für Physik B Condensed Matter

Abstract

I present a semi-phenomenological framework for the calculation of the Kubo conductivities in 2d systems subject to a magnetic field based on the memory function formalism. The notion of a memory oscillation time is introduced and its peculiar role related to the orientation dependent quantities in magnetic fields is discussed. Self-consistency equations are formulated which allow to approach the localization-delocalization transition. I study the Hall conductivity and the longitudinal conductivity in the low temperature limit and find that they are related by a universal relation refered to as stable trajectories in renormalization group approaches on the QHE.

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  1. Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, W-7000, Stuttgart 80, Germany

    O. Viehweger

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Viehweger, O. A self-consistent approach to the localization-delocalization problem of the quantum Hall effect. Z. Physik B - Condensed Matter 83, 45–53 (1991). https://doi.org/10.1007/BF01314396

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  • DOI: https://doi.org/10.1007/BF01314396

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