Hole-Hole Interaction Effect in the Conductance of the Two-Dimensional Hole Gas in the Ballistic Regime

Abstract

On a high-mobility two-dimensional hole gas (2DHG) in a $\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{s}/\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{l}\mathrm{A}\mathrm{s}$ heterostructure we study the interaction correction to the Drude conductivity in the ballistic regime, ${k}_{B}T\ensuremath{\tau}/\ensuremath{\hbar}>1$. It is shown that the ``metallic'' behavior of the resistivity ($d\ensuremath{\rho}/dT>0$) of the low-density 2DHG is caused by the hole-hole interaction effect in this regime. We find that the temperature dependence of the conductivity and the parallel-field magnetoresistance are in agreement with this description, and determine the Fermi-liquid interaction constant ${F}_{0}^{\ensuremath{\sigma}}$ which controls the sign of $d\ensuremath{\rho}/dT$.