TY - JOUR

T1 - Nonlocal transport and the hydrodynamic shear viscosity in graphene

AU - Torre, Iacopo

AU - Tomadin, Andrea

AU - Geim, Andre K.

AU - Polini, Marco

PY - 2015/10/15

Y1 - 2015/10/15

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevB.92.165433

DO - 10.1103/PhysRevB.92.165433

M3 - Journal article

VL - 92

JO - Physical review B

JF - Physical review B

SN - 1098-0121

IS - 16

M1 - 165433

ER -