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It is shown that in a degenerate two-dimensional electron gas (2DEG), intralevel intracenter electron transitions due to a strong impurity potential, for not too low temperatures, can lead to the observed activated behavior of the resistivity in micrometer-, or submicrometer-width parabolic channels. This contribution is exponentially suppressed if the Fermi level is not too close to the bottom of the nearest Landau level. As the temperature decreases, at fixed confining potential, this activated behavior is changed to a temperature-independent behavior that is usual for elastic scattering of the degenerate 2DEG. The latter is related with intralevel interedge electron transitions. The asymmetry of the Shubnikov--de Haas oscillations and their dependence on confinement and temperature are obtained in agreement with experimental observations.
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Balev et al. (1994) studied this question.
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