Weak-Field Hall Effect in Graphene Calculated within Self-Consistent Born Approximation

The weak-field Hall conductivity is calculated in monolayer graphene within a self-consistent Born approximation. The Hall conductivity sufficiently away from the Dirac point exhibits the dependence qualitatively in agreement with the Boltzmann result, but it deviates in the region near zero energy, the width of which is singularly dependent on the scattering strength. The experimental results can be reasonably well understood by assuming that the scattering strength increases with the decrease of the electron concentration and saturates in this region.