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In ultra-high quality two-dimensional (2D) materials the mean free paths ofphonons and electrons relative to all mechanisms of scattering can be muchgreater than a size of a sample. In this case the most intensive type ofscattering of particles is their collisions with sample edges and the ballisticregime of heat and charge transport is realized. We study the ballistictransport of classical interacting 2D particles in a long narrow sample. Weshow that the inter-particle scattering conserving momentum leads to a positivehydrodynamic correction to the ballistic conductance, which is a precursor ofthe viscous Poiseuille flow. We examine the effect of weak magnetic field onthe electron ballistic conductance and predict a novel classical ballisticmechanism for negative magnetoresistance. Our analysis demonstrates that,apparently, such mechanism explains the temperature-independent part of thegiant negative magnetoresistance recently observed in the ultra-high mobilityGaAs quantum wells.

A classical mechanism for negative magnetoresistance in two-dimensional systems in the ballistic regime