Disorder effect on the density of states in Landau quantized graphene

We study the effect of Gaussian potential (on-site) and unidirectional bond disorder on the density of states (DOS) of Landau quantized graphene. The broadening of the Landau levels depends weakly on energy and the symmetry of the disorder except at the Dirac point. There, the peak in the DOS is enhanced significantly by bond disorder. For stronger disorder, Landau quantization becomes irrelevant, the discrete structures from Landau levels disappear, and we recover the zero field DOS