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

We use the Kubo formalism to calculate the transresistivity ${\rho }_{21}$ for carriers in coupled quantum wells in a large perpendicular magnetic field $B$. We find that ${\rho }_{21}$ is enhanced by approximately 50–100 times over that of the $B=0\mathrm{}$ 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 ${\rho }_{21}\left(B\right)$ 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 ${\rho }_{21}\left(T\right)/T^2$.