Shape of Disorder-Broadened Landau Subbands in Graphene

In this Letter, we calculate the density of states of graphene under a highly uniform magnetic field and white-noise random potential. We discover that the disorder-broadened zero-energy Landau band has a Gaussian shape and its width is proportional to the random potential variance and the square root of magnetic field. We also use the Wegner-type calculation to justify our simulation results.