Anderson localization of electron states in graphene in different types of disorder

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dc.creatorXiong, Shi-Jie
dc.creatorXiong, Ye
dc.date2007-12-29
dc.date.accessioned2026-07-07T08:51:51Z
dc.date.available2026-07-07T08:51:51Z
dc.descriptionAnderson localization of electron states on graphene lattice with diagonal and off-diagonal (OD) disorder in the absence of magnetic field is investigated by using the standard finite-size scaling analysis. In the presence of diagonal disorder all states are localized as predicted by the scaling theory for two-dimensional systems. In the case of OD disorder, the states at the Dirac point (E=0) are shown to be delocalized due to the specific chiral symmetry, although other states ($E \neq 0$) are still localized. In OD disorder the conductance at E=0 in an $M\times L$ rectangular system at the thermodynamical limit is calculated with the transfer-matrix technique for various values of ratio $M/L$ and different types of distribution functions of the OD elements $t_{nn'}$. It is found that if all the $t_{nn'}$'s are positive the conductance is independent of $L/M$ as restricted by 2 delocalized channels at E=0. If the distribution function includes the sign randomness of elements $t_{nn'}$, the conductivity, rather than the conductance, becomes $L/M$ independent. The calculated value of the conductivity is around $\frac{4e^2}{h}$, in consistence with the experiments.
dc.description24 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/0801.0027
dc.identifierhttp://arxiv.org/abs/0801.0027
dc.identifierPhys. Rev. B, 76, 214204 (2007)
dc.identifierdoi:10.1103/PhysRevB.76.214204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145084
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleAnderson localization of electron states in graphene in different types of disorder
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