Weak localisation magnetoresistance and valley symmetry in graphene

Details Weak localisation magnetoresistance and valley symmetry in graphene Weak localisation magnetoresistance and valley symmetry in graphene

2006-04-02

arxiv.org/abs/cond-mat/0604015v3

Phys. Rev. Lett. 97, 146805 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Phys. Rev. Lett. 97, 146805 (2006)

Scientific paper

10.1103/PhysRevLett.97.146805

Due to the chiral nature of electrons in a monolayer of graphite (graphene) one can expect weak antilocalisation and a positive weak-field magnetoresistance in it. However, trigonal warping (which breaks p/-p symmetry of the Fermi line in each valley) suppresses antilocalisation, while inter-valley scattering due to atomically sharp scatterers in a realistic graphene sheet or by edges in a narrow wire tends to restore conventional negative magnetoresistance. We show this by evaluating the dependence of the magnetoresistance of graphene on relaxation rates associated with various possible ways of breaking a 'hidden' valley symmetry of the system.

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