Elastic response of the electron fluid in intrinsic graphene: The collisionless regime

Abstract

The elastic response of an electron fluid at finite frequencies is defined by the electron viscosity $\eta (\omega )$. We determine $\eta (\omega )$ for graphene at the charge neutrality point in the collisionless regime, including the leading corrections due to the electron-electron Coulomb interaction. We find interaction corrections to $\eta (\omega )$ that are significantly larger if compared to the corresponding corrections to the optical conductivity. In addition, we find comparable contributions to the dynamic momentum flux due to single-particle and many-particle effects. We also demonstrate that $\eta (\omega )$ is directly related to the nonlocal energy-flow response of graphene at the Dirac point. The viscosity in the collisionless regime is determined with the help of the strain generators in the Kubo formalism. Here, the pseudo-spin of graphene describing its two sublattices plays an important role in obtaining a viscosity tensor that fulfills the symmetry properties of a rotationally symmetric system.

arXiv comment18 pages, 5 figures

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