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

TL;DR

This paper investigates how electron-electron interactions and Landau quantization influence Coulomb drag in coupled quantum wells under strong magnetic fields, revealing significant enhancements and characteristic structures in transresistivity.

Contribution

It provides a theoretical calculation of magneto-Coulomb drag considering both interactions and Landau levels, highlighting new features in transresistivity behavior in quantum Hall regimes.

Findings

Transresistivity is 50-100 times larger than at zero magnetic field.

Twin-peaked structure of $ ho_{21}(B)$ in inter-plateau regions.

Peaked temperature dependence of $ ho_{21}(T)/T^2$ at Landau level center.

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 $\rho_{21}(T)/T^2$.