Magnetoresistance of a 2DEG in a 2D superlattice: Boltzmann theory of commensurability oscillations and their gradual suppression with increasing mobility

We present analytical and numerical results of a classical magnetotransport theory, based on Boltzmann's equation, for a two-dimensional electron gas in a two-dimensional superlattice of square symmetry. We show that commensu rability oscillations of the magnetoresistance are increasingly suppressed with increasing modulation amplitude and increasing mean free path lambda ( tr) but will be observable for sufficiently weak modulation and short lambd a (tr). The calculation shows different type commensurability effects at st ronger modulation. (C) 2001 Elsevier Science B.V. All rights reserved.