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The authors' have performed self-consistent electronic structure calculations for a two-dimensional electron gas confined at a GaAs/Al x Ga 1-x As interface in the presence of a parallel magnetic field. Their study has focused on the evolution of the subband states with increasing field strength and the depopulation of higher subbands as a result of diamagnetic energy shifts. Significant differences have been found between the self-consistent results and those obtained by the commonly used perturbative method. These differences can be attributed to two limitations of the perturbative formulation: (i) neglect of the magnetic field dependence of the self-consistent potentials and (ii) neglect of the modification of the density of states from the zero-field behaviour. A comparison of both theoretical formulations with data derived from magnetic depopulation experiments is also made.
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Heisz et al. (1993) studied this question.
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