Fingerprints of disorder in graphene

We present a systematic study of the electronic, transport and optical properties of disordered graphene including the next-nearest-neighbor hopping. We show that this hopping has a non-negligible effect on resonant scattering but is of minor importance for long-range disorder such as charged impurities, random potentials or hoppings induced by strain fluctuations. Different types of disorders can be recognized by their fingerprints appearing in the profiles of dc conductivity, carrier mobility, optical spectroscopy and Landau level spectrum. The minimum conductivity $4e^{2}/h$ found in the experiments is dominated by long-range disorder and the value of $4e^{2}/\pi h$ is due to resonant scatterers only.