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We review a calculation of the quantum corrections to electrical transport ingraphene using the trajectory-based semiclassical method. Compared toconventional metals, for graphene the semiclassical propagator contains anadditional pseudospin structure, which influences the results for weaklocalization, and interaction-induced effects, such as the Altshuler-Aronovcorrection and dephasing. Our results apply to a sample of graphene that isdoped away from the Dirac point and subject to a smooth disorder potential,such that electrons follow classical trajectories. In such system, theEhrenfest time enters as an additional timescale.

Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis