Negative Parabolic Magneto-resistance in a strongly interacting 2D Hole system in GaAs/AlGaAs*

Electron-electron interactions are believed to be an important factor in the origin of the 2D Metal-Insulator Transition observed in strongly correlated 2D electron/hole systems. In the weakly interacting (Fermi Liquid) regime, these interactions can be shown to cause a negative parabolic correction to the magneto-resistance of the 2D electron/hole system. We observe a similar magneto-resistance effect in the strong field regime (ω_cτ > 1) for a strongly interacting 2D hole liquid (r_s=20-30) in a GaAs/AlGaAs quantum well at low temperatures (T =0.09 - 1 K), in a hole density range (p=0.98-1.98 *10¹⁰ /cm²) close to the critical density for the 2D Metal-Insulator transition, where the temperature dependence of resistivity is non-monotonic. We study the extracted hole-hole interaction correction to Drude conductivity in this regime and compare its temperature dependence to conventional Fermi Liquid theories. This study gives insight on the validity of a Fermi Liquid picture in the strongly interacting regime and explores whether this conventional picture of interacting electron systems can be used to explain the origin of the 2D metallic state.