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Magnetic Oscillations of a Fractional Hall Dot

A. H. MacDonald·M. D. Johnson
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Abstract

We show that a quantum dot in the fractional Hall regime exhibits mesoscopic magnetic oscillations with a period which is a multiple of the period for free electrons. Our calculations are performed for parabolic quantum dots with hard-core electron-electron interactions and are exact in the strong field limit for $k_B T$ smaller than the fractional Hall gap. Explicit expressions are given for the temperature dependence of the amplitude of the oscillations.

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A. H. MacDonald, M. D. Johnson. 1992-11-30. Magnetic Oscillations of a Fractional Hall Dot. https://doi.org/10.1103/physrevlett.70.3107

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