Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevB.87.144202
Title: Analytical and numerical study of uncorrelated disorder on a honeycomb lattice
Authors: Lee, K.L.
Grémaud, B. 
Miniatura, C. 
Delande, D.
Issue Date: 10-Apr-2013
Citation: Lee, K.L., Grémaud, B., Miniatura, C., Delande, D. (2013-04-10). Analytical and numerical study of uncorrelated disorder on a honeycomb lattice. Physical Review B - Condensed Matter and Materials Physics 87 (14) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevB.87.144202
Abstract: We consider a tight-binding model on the regular honeycomb lattice with uncorrelated on-site disorder. We use two independent methods (recursive Green's function and self-consistent Born approximation) to extract the scattering mean-free path, the scattering mean-free time, the density of states, and the localization length as a function of the disorder strength. The two methods give excellent quantitative agreement for these single-particle properties. Furthermore, a finite-size scaling analysis reveals that all localization lengths for different lattice sizes and different energies (including the energy at the Dirac points) collapse onto a single curve, in agreement with the one-parameter scaling theory of localization. The predictions of the self-consistent theory of localization however fail to quantitatively reproduce these numerically extracted localization lengths. © 2013 American Physical Society.
Source Title: Physical Review B - Condensed Matter and Materials Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/116227
ISSN: 10980121
DOI: 10.1103/PhysRevB.87.144202
Appears in Collections:Staff Publications

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