Temperature and Magnetic Field Enhanced Hall Slope of a Dilute 2D Hole System in the Ballistic Regime

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We report the temperature(T) and perpendicular magnetic field(B) dependence of the Hall resistivity ρxy(B) of dilute metallic two-dimensional(2D) holes in GaAs over a broad range of temperature(0.02-1.25K). The low B Hall coefficient, Rₕ, is found to be enhanced when T decreases. Strong magnetic fields further enhance the slope of ρxy(B) at all temperatures studied. Coulomb interaction corrections of a Fermi liquid(FL) in the ballistic regime can not explain the enhancement of ρxy which occurs in the same regime as the anomalous metallic longitudinal conductivity. In particular, although the metallic conductivity in 2D systems has been attributed to electron interactions in a FL, these same interactions should reduce, not enhance the slope of ρxy(B) as T decreases and/or B increases.