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Resonant tunneling in fractional quantum Hall effect: superperiods and braiding statistics

Jainendra K. Jain·Chuntai Shi
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Abstract

We study theoretically resonant tunneling of composite fermions through their quasi-bound states around a fractional quantum Hall island, and find a rich set of possible transitions of the island state as a function of the magnetic field or the backgate voltage. These considerations have possible relevance to a recent experimental study, and bring out many subtleties involved in deducing fractional braiding statistics.

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Jainendra K. Jain, Chuntai Shi. 2006-03-21. Resonant tunneling in fractional quantum Hall effect: superperiods and braiding statistics. https://doi.org/10.1103/physrevlett.96.136802

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