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

Abstract

We report the temperature($T$) and perpendicular magnetic field($B$) dependence of the Hall resistivity ${\rho }_{xy}(B)$ of dilute metallic two-dimensional(2D) holes in GaAs over a broad range of temperature(0.02-1.25K). The low $B$ Hall coefficient, $R_H$, is found to be enhanced when $T$ decreases. Strong magnetic fields further enhance the slope of ${\rho }_{xy}(B)$ at all temperatures studied. Coulomb interaction corrections of a Fermi liquid(FL) in the ballistic regime can not explain the enhancement of ${\rho }_{xy}$ 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, {\it not enhance} the slope of ${\rho }_{xy}(B)$ as $T$ decreases and/or $B$ increases.

arXiv commentAccepted for publication in Physical Review Letters

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• Spin polarization induced tenfold magneto-resistivity of highly metallic 2D holes in a narrow GaAs quantum well
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• Interaction Correction to the Longitudinal Conductivity and Hall Resistivity in High Quality Two-Dimensional GaAs Electron and Hole Systems
• Hall coefficient and magnetoresistance of 2D spin-polarized electron systems
• Degenerate versus semi-degenerate transport in a correlated 2D hole system
• Temperature dependent weak field Hall resistance in 2D carrier systems
• Nonmonotonic Temperature Dependence of the Hall Resistance for 2D Electron System in Si
• Impact of Short-Range Scattering on the Metallic Transport of Strongly Correlated 2D Holes in GaAs Quantum Wells
• Evidence for a New Intermediate Phase in a Strongly Correlated 2D System near Wigner Crystallization
• Surprising coincidence of the apparent 2D metal-to-insulator transition data with Fermi-gas based model results