Nonmonotonous classical magneto-conductivity of a two-dimensional electron gas in a disordered array of obstacles

Abstract

Magnetotransport measurements in combination with molecular dynamics (MD) simulations on two-dimensional disordered Lorentz gases in the classical regime are reported. In quantitative agreement between experiment and simulation, the magnetoconductivity displays a pronounced peak as a function of perpendicular magnetic field $B$ which cannot be explained in the framework of existing kinetic theories. We show that this peak is linked to the onset of a directed motion of the electrons along the contour of the disordered obstacle matrix when the cyclotron radius becomes smaller than the size of the obstacles. This directed motion leads to transient superdiffusive motion and strong scaling corrections in the vicinity of the insulator-to-conductor transitions of the Lorentz gas.

5 pages, 4 figures

References in corpus (7)

• Anomalous transport in the crowded world of biological cells
• Negative magnetoresistance in viscous flow of two-dimensional electrons
• Development of anomalous diffusion among crowding proteins
• The Effective Temperature Concept Tested in an Active Colloid Mixture
• Microwave-induced resistance oscillations as a classical memory effect
• Rounding of the localization transition in model porous media
• Commensurability resonances in two-dimensional magneto-electric lateral superlattices

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