  In order to elucidate the presence of non-localized states in doped graphene,
an scaling analysis of the wave function moments known as inverse participation
ratios is performed. The model used is a tight- binding hamiltonian considering
nearest and next-nearest neighbors with random substitutional impurities. Our
findings indicate the presence of non-normalizable wave functions that follow a
critical (power-law) decay, which are between a metallic and insulating
behavior. The power-law exponent distribution is robust against the inclusion
of next-nearest neighbors and on growing the system size.

Mesoscale and Nanoscale Physics;Materials Science