Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
Mesoscale and Nanoscale Physics
2014-07-22 v1
Abstract
We review a calculation of the quantum corrections to electrical transport in graphene using the trajectory-based semiclassical method. Compared to conventional metals, for graphene the semiclassical propagator contains an additional pseudospin structure, which influences the results for weak localization, and interaction-induced effects, such as the Altshuler-Aronov correction and dephasing. Our results apply to a sample of graphene that is doped away from the Dirac point and subject to a smooth disorder potential, such that electrons follow classical trajectories. In such system, the Ehrenfest time enters as an additional timescale.
Cite
@article{arxiv.1404.2129,
title = {Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis},
author = {Martin Schneider and Piet W. Brouwer},
journal= {arXiv preprint arXiv:1404.2129},
year = {2014}
}
Comments
34 pages, 9 figures