Metal-to-insulator transition and electron-hole puddle formation in disordered graphene nanoribbons

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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4+ pages, 7 figures, substantially revised version, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysrevLett.108.066402

The experimentally observed metal-to-insulator transition in hydrogenated graphene is numerically confirmed for actual sized graphene samples and realistic impurity concentrations. The eigenstates of our tight-binding model with substitutional disorder corroborate the formation of electron-hole-puddles with characteristic length scales comparable to the ones found in experiments. The puddles cause charge inhomogeneities and tend to suppress Anderson localization. Even though, monitoring the charge carrier quantum dynamics and performing a finite-size scaling of the local density of states distribution, we find strong evidence for the existence of localized states in graphene nanoribbons with short-range but also correlated long-range disorder.

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