Abstract
The properties of an exciton in an anisotropic parabolic quantum-well wire in a magnetic field are investigated theoretically. It is found that a decrease in the confinement length increases the exciton binding energy and decreases the longitudinal extension of the exciton wave function. The results of the exciton diamagnetic shifts are in agreement with previously reported magneto-photoluminescence experimental data. Details of the effects of the magnetic field on the binding energy and the wave function of the exciton have been investigated. The conclusion is drawn that the magnetic field has a more pronounced effect in wider quantum-well wires.
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