Based on the framework of the effective-mass theory, the electronic structure of ZnO nanorods doped with manganese ions in the magnetic field is calculated by the Bessel function expanding method; the conduction and valence subbands are found to be non-degenerate in ZnO nanorods doped with manganese ions. The 10 lowest possible transitions are presented and the optical circularly polarized properties of each transition are also labeled. Through the analysis, the order of the valence subbands will change when the concentration of manganese ions varies, while the optical circularly polarized properties of the lowest transitions do not change when the magnetic field and the concentration of manganese ions increase. Meanwhile, each of the radiative intensities will increase with the increase of the wave vector.
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