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Due to the chiral nature of electrons in a monolayer of graphite (graphene)one can expect weak antilocalisation and a positive weak-fieldmagnetoresistance in it. However, trigonal warping (which breaks p/-p symmetryof the Fermi line in each valley) suppresses antilocalisation, whileinter-valley scattering due to atomically sharp scatterers in a realisticgraphene sheet or by edges in a narrow wire tends to restore conventionalnegative magnetoresistance. We show this by evaluating the dependence of themagnetoresistance of graphene on relaxation rates associated with variouspossible ways of breaking a 'hidden' valley symmetry of the system.Comment: Phys. Rev. Lett. 97, 146805 (2006

Weak-Localization Magnetoresistance and Valley Symmetry in Graphene