Dirac fermion heating, current scaling, and direct insulator-quantum Hall transition in multilayer epitaxial graphene

Abstract

We have performed magnetotransport measurements on multilayer epitaxial graphene. By increasing the driving current I through our graphene devices while keeping the bath temperature fixed, we are able to study Dirac fermion heating and current scaling in such devices. Using zero-field resistivity as a self thermometer, we are able to determine the effective Dirac fermion temperature (T ^sub DF^) at various driving currents. At zero field, it is found that T ^sub DF^ I ^sup [asymptotically =]1/2^. Such results are consistent with electron heating in conventional two-dimensional systems in the plateau-plateau transition regime. With increasing magnetic field B, we observe an I-independent point in the measured longitudinal resistivity [rho] ^sub xx^ which is equivalent to the direct insulator-quantum Hall (I-QH) transition characterized by a temperature-independent point in [rho] ^sub xx^. Together with recent experimental evidence for direct I-QH transition, our new data suggest that such a transition is a universal effect in graphene, albeit further studies are required to obtain a thorough understanding of such an effect.