Can Hall drag be observed in Coulomb coupled quantum wells in a magnetic field?

Abstract

We study the transresistivity $\tensorρ_{21}$ (or equivalently, the drag rate) of two Coulomb-coupled quantum wells in the presence of a perpendicular magnetic field, using semi-classical transport theory. Elementary arguments seem to preclude any possibility of observation of ``Hall drag'' (i.e., a non-zero off-diagonal component in $\tensorρ_{21}$). We show that these arguments are specious, and in fact Hall drag can be observed at sufficiently high temperatures when the {\sl intra}layer transport time $\tau$ has significant energy-dependence around the Fermi energy ${\epsilon }_F$. The ratio of the Hall to longitudinal transresistivities goes as $T^{2}Bs$, where $T$ is the temperature, $B$ is the magnetic field, and $s=[\partial \tau /\partial \epsilon ]({\epsilon }_F)$.

LaTeX, 13 pages, 2 figures (to be published in Physica Scripta, Proc. of the 17th Nordic Semiconductor Conference)

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• Oscillating sign of drag in high Landau levels
• Frictional Coulomb drag in strong magnetic fields
• Hall Drag in Correlated Double Layer Quantum Hall Systems
• Magnetodrag in hydrodynamic regime: effects of magnetoplasmon resonance and Hall viscosity
• Anomalous Hall Coulomb drag of massive Dirac fermions
• Drag and Hall drag in a bi-layer system with pinholes
• Coulomb drag in longitudinal magnetic field in quantum wells
• Magneto-Coulomb Drag and Hall Drag in Double-Layer Dirac Systems
• Hall Coulomb drag induced by electron-electron skew scattering