{ "id": "1501.00555", "version": "v1", "published": "2015-01-03T11:31:20.000Z", "updated": "2015-01-03T11:31:20.000Z", "title": "The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime", "authors": [ "Alessandro Principi", "Giovanni Vignale" ], "comment": "19 pages, 7 figures. arXiv admin note: text overlap with arXiv:1406.2940", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "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.", "revisions": [ { "version": "v1", "updated": "2015-01-03T11:31:20.000Z" } ], "analyses": { "keywords": [ "doped graphene", "intrinsic charge", "fermi-liquid regime", "linear low-energy band dispersion", "spin conductivity remains finite" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150100555P" } } }