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arXiv · 1508.00363

Non-local transport and the hydrodynamic shear viscosity in graphene

Iacopo Torre·Andrea Tomadin·Andre K. Geim·Marco Polini
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Abstract

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.

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Iacopo Torre, Andrea Tomadin, Andre K. Geim, Marco Polini. 2015-08-03. Non-local transport and the hydrodynamic shear viscosity in graphene. https://doi.org/10.1103/physrevb.92.165433

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