Magnetic Oscillations of a Fractional Hall Dot

TL;DR

This paper demonstrates that quantum dots in the fractional Hall regime display unique mesoscopic magnetic oscillations with periods multiple of those for free electrons, depending on temperature and strong magnetic fields.

Contribution

It provides exact calculations for parabolic quantum dots with hard-core interactions in the fractional Hall regime, revealing novel oscillation periods and temperature effects.

Findings

Magnetic oscillations have periods multiple of free electron periods.

Oscillation amplitudes depend explicitly on temperature.

Results are exact in the strong magnetic field and low-temperature limit.

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.