Magneto-Coulomb Drag: Interplay of Electron-Electron Interactions and Landau Quantization

Abstract

We use the Kubo formalism to calculate the transresistivity ${\ensuremath{\rho}}_{21}$ for carriers in coupled quantum wells in a large perpendicular magnetic field $B$. We find that ${\ensuremath{\rho}}_{21}$ is enhanced by approximately 50--100 times over that of the $B\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0$ case in the interplateau regions of the integer quantum Hall effect. The presence of both electron-electron interactions and Landau quantization results in (i) a twin-peaked structure of ${\ensuremath{\rho}}_{21}(B)$ in the interplateau regions at low temperatures and (ii) for the chemical potential at the center of a Landau level band, a peaked temperature dependence of ${\ensuremath{\rho}}_{21}(T)/{T}^{2}$.