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The Binding Energies of Shallow Donor Impurities in GaAs–(Ga,Al)As Coaxial Quantum-Well Wires

✍ Scribed by I.D. Mikhailov; R. Escorcia; J. Sierra-Ortega

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
83 KB
Volume
220
Category
Article
ISSN
0370-1972

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✦ Synopsis

Within the effective-mass approximation a simple method to calculate the spectra of a shallowdonor impurity in GaAs±(Ga, Al)As cylindrical quantum-well wires (QWWs) suitable for any confinement potential shape in radial direction is proposed. A trial function is taken as the product of a hydrogenic part with two envelope functions: the ground state wave function of the uncoupled electron in quantum-well wire f k (r), and a variational function j(z) that describes the orbit confinement in axial direction. A Schro È dinger-type equation for j(z) corresponding to the best trial function is deduced. The method is applied to analyze the D 0 ground and first excited states in coaxial cylindrical QWWs. Two peaks in the curve of the 1s-like state binding energy vs. the QWW radius are found.

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