Coulomb drag of coupled cylindrical quantum wells in magnetic field

Abstract

We investigate the Coulomb drag resistivity between a couple of barrier separated cylindrical δ quantum wells (CDWs) with common rotated symmetry axis ( z-axis) in the presence of external magnetic field along z-direction. We find that in the presence of external magnetic field along z-axis, the characteristic properties of momentum relaxation rate (MRR) in the absence of magnetic field which are originated from the dimensionalities of both CDWs coupled, are still maintained. For example, for the coupled 2D-1D CDWs, the MRR, τ D −1, is approximately proportional to T 4 in the temperature range of 0 to 10 K, while for coupled 2D-2D CDWs, it is proportional to T 2 which is in accord with the characteristic behaviour of MRR in coupled 2D-2D planes. The presence of magnetic field can only change the value of the MRR and the temperature T max at which the MRR divided by T 4 for coupled 2D-1D CDWs (or by T 2 for coupled 2D-2D CDWs) is found to exhibit a maximum. For coupled 2D-2D CDWs, the presence of magnetic field can either raise or reduce the value of MRR, while for coupled 2D-1D CDWs, except the negligible reducing at low strength of magnetic field, the value of MRR is raised significantly in nearly the whole range of external magnetic field strength.