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22 March 2025
 
  » arxiv » 1508.0363

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Non-local transport and the hydrodynamic shear viscosity in graphene
Iacopo Torre ; Andrea Tomadin ; Andre K. Geim ; Marco Polini ;
Date 3 Aug 2015
AbstractMotivated 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.
Source arXiv, 1508.0363
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