Nonlocal transport and the hydrodynamic shear viscosity in graphene

Torre, Iacopo and Tomadin, Andrea and Geim, Andre K. and Polini, Marco (2015) Nonlocal transport and the hydrodynamic shear viscosity in graphene. Physical review B, 92 (16). ISSN 1098-0121

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Motivated by recent experimental progress in preparing encapsulated graphene sheets with ultrahigh 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 nonlocal resistances in multiterminal 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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Journal Article
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Physical review B
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22 Nov 2018 09:00
Last Modified:
19 Sep 2023 02:02