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The calculated electron mobility for a graphene nanoribbon as a function ofapplied electric field has been found to have a large threshold field forentering a nonlinear transport regime. This field depends on the latticetemperature, electron density, impurity scattering strength, nanoribbon widthand correlation length for the line-edge roughness. An enhanced electronmobility beyond this threshold has been observed, which is related to theinitially-heated electrons in high energy states with a larger group velocity.However, this mobility enhancement quickly reaches a maximum due to the Fermivelocity in graphene and the dramatically increased phonon scattering.Super-linear and sub-linear temperature dependence of mobility seen in thelinear and nonlinear transport regimes. By analyzing the calculatednon-equilibrium electron distribution function, this difference is attributedseparately to the results of sweeping electrons from the right Fermi edge tothe left one through the elastic scattering and moving electrons fromlow-energy states to high-energy ones through field-induced electron heating.The threshold field is pushed up by a decreased correlation length in the highfield regime, and is further accompanied by a reduced magnitude in the mobilityenhancement. This implies an anomalous high-field increase of the line-edgeroughness scattering with decreasing correlation length due to the occupationof high-energy states by field-induced electron heating.

Field enhanced electron mobility by nonlinear phonon scattering of Dirac electrons in semiconducting graphene nanoribbons