Magneto-Coulomb drag: interplay of electron--electron interactions and Landau quantization

Abstract

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 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 ${\rho }_{21}(B)$ in the inter-plateau regions at low temperatures, and, (ii) for the chemical potential at the center of a Landau level band, a peaked temperature dependence of ${\rho }_{21}(T)/T^2$.

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