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In this work the conducting properties of graphene lattice with a particularconcentration of defect (5\% and 10\%) has been studied. The real space blockrecursion method introduced by Haydock et al. has been used in presence of therandom distribution of defects in graphene. This Green function based method isfound more powerful than the usual reciprocal based methods which needartificial periodicity. Different resonant states appear because of thepresence of topological and local defects are studied within the framework ofGreen function.

Disorder induced lifetime effects in binary disordered systems : a first principles formalism and an application to doped Graphene