Abstract

We studied size-effects in wide parabolic quantum wells by measuring the low field magnetoresistance in perpendicular and parallel magnetic field configurations. We have also studied the evolutions of the resistivity oscillations as a function of the electron sheet density N S, by in situ illumination of the samples at the temperature of 1.5 K . We observed the maximum in the resistivity in the perpendicular magnetic field when the cyclotron radius was equal to the width of the electronic slab R c= W e. It allows to determine the width W e as a function of the electron density. The oscillation amplitude decreases with N S, which can be attributed to the increase of the probability of electrons to be specularly reflected by the boundary with increase of the electron slab width. In parallel magnetic field we also found oscillations corresponding to R c≈ W e and R c/ W e≈2.2 in agreement with quantum-mechanical calculations of the size effects in narrow quantum wires.

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