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Disorder and the theory of the fractionally quantized Hall effect

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Zeitschrift für Physik B Condensed Matter

Abstract

In a recent article we showed that weak disorder does not change the ground states of a system of interacting electrons on a torus in a strong magnetic field at a filling factorf 0, if the denominator off 0 is odd and small. At filling factors near but not equalf 0 disorder becomes important. We show that the ground states and the low excited states of such a system may be constructed from the ground states atf 0 through adding localized electrons or holes. These states have the same degeneracy as the ground states atf 0 and lead to the same value of the Hall conductance.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Heidelberg, Philosophenweg 19, D-6900, Heidelberg 1, Federal Republic of Germany

    A. Mielke

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  1. A. Mielke
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Mielke, A. Disorder and the theory of the fractionally quantized Hall effect. Z. Physik B - Condensed Matter 73, 191–199 (1988). https://doi.org/10.1007/BF01305736

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  • DOI: https://doi.org/10.1007/BF01305736

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