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We investigate the effect of the mass anisotropy on Friedel Oscillations,Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, screening properties, andBoltzmann transport in two dimensional (2D) metallic and doped semiconductorsystems. We calculate the static polarizability and the dielectric functionwithin the random phase approximation with the mass anisotropy fully taken intoaccount without making any effective isotropic approximation in the theory. Wefind that carrier screening exhibits an isotropic behavior for small momentadespite the anisotropy of the system, and becomes strongly anisotropic above acertain threshold momentum. Such an anisotropy of screening leads toanisotropic Friedel oscillations, and an anisotropic RKKY interactioncharacterized by a periodicity dependent on the direction between the localizedmagnetic moments. We also explore the disorder limited dc transport propertiesin the presence of mass anisotropy based on the Boltzmann transport theory.Interestingly, we find that the anisotropy ratio of the short range disorderlimited resistivity along the heavy- and light-mass directions is always thesame as the mass anisotropy ratio whereas for the long range disorder limitedresistivity the anisotropy ratio is the same as the mass ratio only in the lowdensity limit, and saturates to the square root of the mass ratio in the highdensity limit. Our theoretical work should apply to many existing andto-be-discovered anisotropic 2D systems.

Screening, Friedel oscillations, RKKY interaction, and Drude transport in anisotropic two-dimensional systems