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Improved fabrication techniques have enabled the possibility of ballistictransport and unprecedented spin manipulation in ultraclean graphene devices.Spin transport in graphene is typically probed in a nonlocal spin valve and isanalyzed using spin diffusion theory, but this theory is not necessarilyapplicable when charge transport becomes ballistic or when the spin diffusionlength is exceptionally long. Here, we study these regimes by performingquantum simulations of graphene nonlocal spin valves. We find that conventionalspin diffusion theory fails to capture the crossover to the ballistic regime aswell as the limit of long spin diffusion length. We show that the latter can bedescribed by an extension of the current theoretical framework. Finally, bycovering the whole range of spin dynamics, our study opens a new perspective topredict and scrutinize spin transport in graphene and other two-dimensionalmaterial-based ultraclean devices.

Nonlocal Spin Dynamics in the Crossover from Diffusive to Ballistic Transport