Abstract
We investigated theoretically the effect of in-plane magnetic fields up to 20 Tesla on the quantum states of electrons and holes confined in quantum wells (QWs) with a non-flat bottom in GaAsA l GaAs heterostructures. Two kinds of QWs were studied: a) QWs bent by the Coulomb interaction in the 2D electron gas in modulation-doped superlattices and b) QWs grown with a triangle-shaped bottom throught controlled grading of the A l concentration in the QW region of undoped heterostructures. In this last kind of QW two special cases were treated: the symmetric QW (SQW) in which the conduction band (CB) edge has a maximum in the middle of the well and the asymmetric QW (AQW) in which the CB edge is at one border of the well. The energy dispersion ε(k) for the in-plane direction k perpendicular to the field is considerably affected by the field and for broader QWs the effect becomes dramatic. For the QWs of both kinds the system becomes indirect-gap type at high fields and for AQWs the symmetry ε(k) = = ε(−k) is broken.
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