Classical and quantum ballistic-transport anomalies in microjunctions

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Abstract
We have performed quantum-mechanical and classical calculations of the magnetotransport behavior of two-dimensional four-terminal junctions in the ballistic regime. Experimentally, these systems exhibit magnetotransport anomalies at small fields, suppression (‘‘quenching’’) of the Hall resistance, and enhanced bend resistance, which we have reproduced with our model calculations. Because the structures are ballistic, scattering from geometric features of the junction are responsible for the anomalous transport behavior. We study several different kinds of junction (including those with soft and hard walls) and find that their Hall and bend resistances are extremely sensitive to the geometry of the junction.

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