Abstract
We study Coulomb drag in a system consisting of a carbon nanotube (CNT) and monolayer graphene. Within the Fermi liquid theory we calculate the drag resistivity and find that the dimensional mismatch of the system components leads to a dependence of the drag rate on the carrier density, temperature, and spacing, which is substantially different from what is known for graphene double layers. Due to the competing effects of forward and backward scattering, we identify new features of the drag dependence on the electron density, which allows us to control their relative contribution to the drag resistivity.
Highlights
Coulomb drag in double-well systems has been of considerable theoretical and experimental interest for several decades
We study Coulomb drag in dimensionally mismatched graphene systems, consisting of either a metallic or a semiconducting carbon nanotube (CNT) and monolayer graphene
We find that the screening effect, taken into account within the random phase approximation (RPA), strongly suppresses the drag rate and qualitatively changes its dependence on the system parameters
Summary
Coulomb drag in double-well systems has been of considerable theoretical and experimental interest for several decades. Many recent works address Coulomb drag in dimensionally symmetric graphene-based structures: drag between two graphene layers has been studied both experimentally and theoretically [7,8,9,10,11,12,13,14,15]. We show that the transresistivity for systems with a semiconducting CNT exhibits a slight dip or upturn depending, respectively, on the carrier density in a CNT or graphene, at densities corresponding to the matched Fermi wave vectors This is because the 2D momentum is not conserved in this hybrid system and the backscattering events, which are, in general, possible in semiconducting CNTs, are suppressed due to the presence of graphene.
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