Ultranarrow resonance in Coulomb drag between quantum wires at coinciding densities

Abstract

We investigate the influence of the chemical potential mismatch $\Delta$ (different electron densities) on Coulomb drag between two parallel ballistic quantum wires. For pair collisions, the drag resistivity ${\rho }_{\mathrm{D}}(\Delta )$ shows a peculiar anomaly at $\Delta =0$ with ${\rho }_{\mathrm{D}}$ being finite at $\Delta =0$ and vanishing at any nonzero $\Delta$. The "bodyless" resonance in ${\rho }_{\mathrm{D}}(\Delta )$ at zero $\Delta$ is only broadened by processes of multi-particle scattering. We analyze Coulomb drag for finite $\Delta$ in the presence of both two- and three-particle scattering within the kinetic equation framework, focusing on a Fokker-Planck picture of the interaction-induced diffusion in momentum space of the double-wire system. We describe the dependence of ${\rho }_{\mathrm{D}}$ on $\Delta$ for both weak and strong intrawire equilibration due to three-particle scattering.

21 pages (+2.5 pages Suppl. Mat.), 2 figures; additional explanations

References in corpus (7)

• Coulomb drag
• Coulomb drag by small momentum transfer between quantum wires
• Three-particle collisions in quantum wires: Corrections to thermopower and conductance
• Coulomb drag between ballistic quantum wires
• Density-density propagator for one-dimensional interacting spinless fermions with non-linear dispersion and calculation of the Coulomb drag resistivity
• Interaction-induced backscattering in short quantum wires
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Cited by in corpus (4)

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• Nonreciprocal Coulomb Drag between Quantum Wires in the quasi-1D regime
• Spin-orbit coupling and resonances in the conductance of quantum wires
• Tunable reciprocal and nonreciprocal contributions to 1D Coulomb Drag