Effect of Dimensionality on the Localization Behavior in Hydrogenated Graphene Systems. Choe, D. & Chang, K. J. Nano Letters, 12(10):5175–5180, October, 2012.
Effect of Dimensionality on the Localization Behavior in Hydrogenated Graphene Systems [link]Paper  doi  abstract   bibtex   
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 a 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.
@article{choe_effect_2012,
	title = {Effect of {Dimensionality} on the {Localization} {Behavior} in {Hydrogenated} {Graphene} {Systems}},
	volume = {12},
	issn = {1530-6984},
	url = {https://doi.org/10.1021/nl302207p},
	doi = {10.1021/nl302207p},
	abstract = {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 a 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.},
	number = {10},
	urldate = {2020-06-28},
	journal = {Nano Letters},
	author = {Choe, Duk-Hyun and Chang, K. J.},
	month = oct,
	year = {2012},
	pages = {5175--5180}
}

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