Using a variational procedure within the effective-mass approximation we have calculated the binding energies of shallow-donor impurities in cylindrical GaAs quantum-well wires, in an axial magnetic field and an infinite confinement potential. In contrast to the previous results in quantum wells, we
Binding energy of a shallow donor in an AlAs/GaAs quantum well and the Γ - X mixing
✍ Scribed by Dag Wang
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 97 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0749-6036
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✦ Synopsis
The effects of mixing between the (\Gamma) and (X) valleys of the conduction band on the binding energy of a shallow donor in a thin type I AlAs/GaAs quantum well are investigated. The multivalley effective mass equations are solved variationally, with a separable hydrogen-like trial function. The binding energy, as a function of well width, is found to be almost the same as in the zero mixing case, except in the vicinity of the type I to type II crossover, where mixing leads to a fundamentally different behavior, namely, instead of decreasing monotonically with increasing well width, the binding energy reaches a maximum close to the crossover.
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