• 文献标题:   Nonlocal transport and the hydrodynamic shear viscosity in graphene
  • 文献类型:   Article
  • 作  者:   TORRE I, TOMADIN A, GEIM AK, POLINI M
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:   Scuola Normale Super Pisa
  • 被引频次:   80
  • DOI:   10.1103/PhysRevB.92.165433
  • 出版年:   2015

▎ 摘  要

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.