Critical wavefunctions in disordered graphene |
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Authors: | Barrios-Vargas J E Naumis Gerardo G |
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Affiliation: | Departamento de Física-Química, Instituto de Física, Universidad Nacional Autónoma de México (UNAM). Apartado Postal 20-364, 01000, México DF, Mexico. |
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Abstract: | In order to elucidate the presence of non-localized states in doped graphene, a scaling analysis of the wavefunction 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 wavefunctions that follow a critical (power-law) decay, which show a behavior intermediate between those of metals and insulators. The power-law exponent distribution is robust against the inclusion of next-nearest neighbors and growing the system size. |
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