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 phononinduced 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.