Charged Excitons of Composite Fermions in the Fractional Quantum Hall Effect

Details Charged Excitons of Composite Fermions in the Fractional Quantum Hall Effect Charged Excitons of Composite Fermions in the Fractional Quantum Hall Effect

2001-05-08

arxiv.org/abs/cond-mat/0105174v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures, extensively revised with more numerical studies

Scientific paper

10.1016/S0038-1098(01)00408-2

Charged excitons of composite fermions (CFs) are considered in the fractional quantum Hall effect. Energies of the charged CF excitons are computed at $\nu=1/3$ 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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