Charged Excitons of Composite Fermions in the Fractional Quantum Hall Effect

Abstract

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.

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

References in corpus (4)

• Charged Excitons in a Dilute 2D Electron Gas in a High Magnetic Field
• Magneto-roton excitation of fractional quantum Hall effect: Comparison between theory and experiment
• Activation gaps for the fractional quantum Hall effect: realistic treatment of transverse thickness
• Two-Roton Bound State in the Fractional Quantum Hall Effect

Cited by in corpus (2)

• Splitting of Long-Wavelength Modes of the Fractional Quantum Hall Liquid at $\nu =1/3$
• Excitons in the Fractional Quantum Hall Effect