Effect of Dimensionality on the Localization Behavior in Hydrogenated Graphene Systems

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Recently, several experiments have shown that graphene exhibits a metal-to-insulator transition by hydrogenation. Here we theoretically study the transport properties of hydrogenated graphene and graphene nanoribbons (GNRs), focusing on the conductance fluctuation behavior in the localized regime. Using a simple model for the conductance distribution in the quasi-localized regime where the conventional theory fails, we derive the modified single parameter scaling (SPS) relations for quasi-one-dimensional (Q1D) GNRs as well as two-dimensional (2D) graphene. We show that, as the dimensional crossover occurs from 2D to Q1D, the shape of the conductance distribution evolves from positively skewed distribution to a log-normal distribution. We predict that GNRs with widths much larger than the localization lengths do not behave as a Q1D system. Our results provide fundamental insights into the dimensionality change not only in graphene, but also in general mesoscopic systems in the localized regime.
Publisher
AMER CHEMICAL SOC
Issue Date
2012-10
Language
English
Article Type
Article
Keywords

SCALING THEORY; CONDUCTANCE FLUCTUATIONS; TRANSPORT; GAP

Citation

NANO LETTERS, v.12, no.10, pp.5175 - 5180

ISSN
1530-6984
DOI
10.1021/nl302207p
URI
http://hdl.handle.net/10203/102888
Appears in Collection
PH-Journal Papers(저널논문)
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