Charge transport in channel-shaped 2D Dirac systems is studied employing the Boltzmann equation. The dependence of the resistivity on temperature and chemical potential is investigated. An accurate understanding of the influence of electron-electron interaction and material disorder allows us to identify a parameter regime, where the system reveals hydrodynamic transport behavior. We point out the conditions for three Dirac fermion specific features: heat flow hydrodynamics, pseudo\-diffusive transport, and the electron-hole scattering dominated regime. It is demonstrated that for clean samples the relativistic Gurzhi effect, a definite indicator of hydrodynamic transport, can be observed.
@article{arxiv.1805.02987,
title = {Relativistic Gurzhi effect in channels of Dirac materials},
author = {Oleksiy Kashuba and Björn Trauzettel and Laurens W. Molenkamp},
journal= {arXiv preprint arXiv:1805.02987},
year = {2018}
}