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Nonlinear magnetotransport in a dc-current-biased graphene

A balance-equation scheme is developed to investigate the magnetotransport in a dc-current-biased graphene. We examine the Shubnikov-de Haas oscillation under a nonzero bias current. With an increase in the current density, the oscillatory differential resistivity exhibits phase inversion, in agreement with recent experimental observation. In the presence of surface optical phonons, a second phase inversion may occur at higher dc bias, due to the reduced influence of electron-heating and the enhanced direct effect of current on differential magnetoresistivity. We also predict the appearance of current-induced magnetoresistance oscillation in suspended graphene at lower magnetic fields and larger current densities. For the graphene mobility currently available ($\approx 20\,{\rm m^2/Vs}$), the oscillatory behavior may be somewhat altered by magnetophonon resonance arising from intrinsic acoustic phonon under finite bias current condition.