Electron-phonon coupling in metallic carbon nanotubes: Dispersionless electron propagation despite dissipation

Abstract

A recent study [Rosati, Dolcini, and Rossi, Appl. Phys. Lett. 106, 243101 (2015)] has predicted that, while in semiconducting single-walled carbon nanotubes (SWNTs) an electronic wave packet experiences the typical spatial diffusion of conventional materials, in metallic SWNTs its shape remains essentially unaltered up to micron distances at room temperature, even in the presence of the electron-phonon coupling. Here, by utilizing a Lindblad-based density-matrix approach enabling us to account for both dissipation and decoherence effects, we test such prediction by analyzing various aspects that were so far unexplored. In particular, accounting for initial nonequilibrium excitations, characterized by an excess energy $E_0$, and including both intra- and interband phonon scattering, we show that for realistically high values of $E_0$ the electronic diffusion is extremely small and nearly independent of its energetic distribution, in spite of a significant energy-dissipation and decoherence dynamics. Furthermore, we demonstrate that the effect is robust with respect to the variation of the chemical potential. Our results thus suggest that metallic SWNTs are a promising platform to realise quantum channels for the non-dispersive transmission of electronic wave packets.

14 pages, 7 figures

References in corpus (9)

• An On-Demand Coherent Single Electron Source
• Quantum transport in carbon nanotubes
• Electron Beam Supercollimation in Graphene Superlattices
• Derivation of nonlinear single-particle equations via many-body Lindblad superoperators: A density-matrix approach
• Quantum detection of electronic flying qubits
• Electron supercollimation in graphene and Dirac fermion materials using one-dimensional disorder potentials
• Scattering nonlocality in quantum charge transport: Application to semiconductor nanostructures
• Dispersionless propagation of electron wavepackets in single-walled carbon nanotubes
• Dynamics of optically injected currents in carbon nanotubes

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