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1s-like, 2p−-like and 2p+-like States of a Hydrogenoid Impurity in a Cylindrical Quantum Dot Under the Action of an Applied Magnetic Field

Abstract

The quantum states of a cylindrical quantum dot (CDQ) of GaAs/Ga0.6Al0.4As are studied theoretically with a hydrogen-like impurity inside and under the action of a uniform magnetic field, applied in the axial direction of the cylinder. Using the variational method, the energies and wave functions of the impurity states, 1s-like, 2p−-like and 2p+-like, when she moves inside the CQD. It was found that there is degeneracy in the impurity energy for the 2p−-like and 2p+-like states in the absence of a magnetic field. This degeneracy is broken only by applying a magnetic field, indicating a Zeeman effect in the system, thus, the variation of the intensity of the magnetic field allows to tune the resonance condition of two photons.

Keywords

Cylindrical quantum dot, hydrogenoid impurity, magnetic field.

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