Phonon-induced quantum diffusion in Carbon-based materials

Employing as prototypical systems the metallic single-walled carbon nanotubes (SWNTs), we investigate the electronic propagation in Carbon-based materials, showing that their linear electronic spectra protect the spatial shape of electronic wavepackets from phonon- induced diffusion, up to micrometric scale already at room temperature. To this end, we employ a recently proposed nonlinear Lindblad-based density-matrix approach, which allows us to account for the interplay between phase coherence and dissipation/decoherence, avoiding both huge computational costs of non-Markovian approaches or the limitations of oversimplified dephasing models.