D^-centre in a quantum well in the presence of a strong magnetic field

ISSN： 0749-6036

Source： Superlattices and Microstructures, Vol.29, Iss.1, 2001-01, pp. : 17-24

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Abstract

An analytical approach to the problem of a negatively charged donor in a quantum well in the presence of a strong magnetic field directed perpendicular to the heteroplanes is developed. The double-adiabatic approximation is used. Firstly, the transverse motion of the electron caused by the strong magnetic field is much faster than that in the direction of the field. In the second stage the state of the ‘outer’ electron is governed by the short-range adiabatic potential formed by the impurity centre and tightly bounded ‘inner’ electron. The dependencies of the binding energy upon the magnitude of the magnetic field, the width of the well and the position of the impurity within the well are derived in an explicit form. The analytical results coincide with those obtained numerically. In principle, the presented approach is suitable for the description of a charged donor and an exciton in the quantum well in the presence of electric and strong magnetic fields.