Magnetoresistance due to chaos and nonlinear resonances in lateral surface superlattices

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Abstract
We show that chaos and nonlinear resonances are clearly reflected in the magnetotransport in lateral surface superlattices and thereby explain a series of magnetoresistance peaks observed recently in ‘‘antidot’’ arrays on semiconductor heterojunctions. We find a mechanism of cyclotron-orbit pinning in an electric field resulting from Kolmogorov-Arnol’d-Moser tori. An experimental verification is suggested in terms of an enhanced cyclotron frequency associated with an anomalously reduced cyclotron radius.