Hydrodynamic theory of transport in doped graphene

Details Hydrodynamic theory of transport in doped graphene Hydrodynamic theory of transport in doped graphene

2009-06-16

arxiv.org/abs/0906.2992v1

Phys. Rev. B 80, 085109 (2009)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

We study non-linear dc transport in graphene using a hydrodynamic approach and conclude that in clean samples the drift velocity saturates at a weakly density-dependent value v_{sat} ~ 10^7 cm/s. We show that saturation results from the interactions between graphene's Dirac quasi-particles and both acoustic and optical phonons. Saturation is accompanied by substantial electron heating and is not reached at realistic driving fields in moderately or strongly disordered samples. We find that it is essential to account for interactions among graphene's Dirac quasi-particles, which increase the linear response resistivity at high temperatures or low densities.

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