Motivated by recent experimental progress in preparing encapsulated graphene sheets with ultra-high mobilities up to room temperature, we present a theoretical study of dc transport in doped graphene in the hydrodynamic regime. By using the continuity and Navier-Stokes equations, we demonstrate analytically that measurements of non-local resistances in multi-terminal Hall bar devices can be used to extract the hydrodynamic shear viscosity of the two-dimensional (2D) electron liquid in graphene. We also discuss how to probe the viscosity-dominated hydrodynamic transport regime by scanning probe potentiometry and magnetometry. Our approach enables measurements of the viscosity of any 2D electron liquid in the hydrodynamic transport regime.
@article{arxiv.1508.00363,
title = {Non-local transport and the hydrodynamic shear viscosity in graphene},
author = {Iacopo Torre and Andrea Tomadin and Andre K. Geim and Marco Polini},
journal= {arXiv preprint arXiv:1508.00363},
year = {2015}
}