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Charged Excitons of Composite Fermions in the Fractional Quantum Hall Effect

Kwon Park
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Abstract

Charged excitons of composite fermions (CFs) are considered in the fractional quantum Hall effect. Energies of the charged CF excitons are computed at $ν=1/3$ as a function of the size of exciton. We show that the charged CF exciton with size of roton is lower in energy than the unbound state of a neutral roton and a lone charge. Therefore we propose that the lowest-energy excitation of the fractional quantum Hall effect is in fact due to the charged excitons of composite fermions composed of two CF-particles and one CF-hole. We believe that charged excitons of composite fermions shed new light on interpreting the resonant inelastic light scattering experiments.

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Kwon Park. 2001-05-17. Charged Excitons of Composite Fermions in the Fractional Quantum Hall Effect. https://doi.org/10.1016/s0038-1098(01)00408-2

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