Abstract

We study theoretically charged excitons (`hole+N electrons') in a double quantum well with a metal gate in a magnetic field. In this system the interaction between the hole and the electrons can be approximated by a parabolic potential. We find the spectrum of far-infrared absorption by charged excitons and show how the Kohn's theorem in quantum dots can be extended to the case of a system with a finite total mass. In the case of the N-electron exciton in a quantum ring, the exciton energy oscillates as a function of the magnetic flux with a period that depends on N and the ratio of the masses.

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