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arXiv · 1501.00555

The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime

Alessandro Principi·Giovanni Vignale
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Abstract

The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is extremely high and dominates over the electron-impurity and electron-phonon scattering rates, which are therefore neglected. The system is brought to a local quasi-equilibrium described by a set of smoothly varying (in space and time) functions, {\it i.e.} the density, the velocity field and the local temperature. In this paper we calculate the charge and spin conductivities of doped graphene due solely to electron-electron interactions. We show that, in spite of the linear low-energy band dispersion, graphene behaves in a wide range of temperatures as an effectively Galilean invariant system: the charge conductivity diverges in the limit $T \to 0$, while the spin conductivity remains finite. These results pave the way to the description of charge transport in graphene in terms of Navier-Stokes equations.

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Alessandro Principi, Giovanni Vignale. 2015-01-03. The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime. https://doi.org/10.1103/physrevb.91.205423

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