Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/101624
Title: Analytical and numerical study of uncorrelated disorder on a honeycomb lattice
Authors: Lee, Kean Loon
Grémaud, Benoît
Miniatura, Christian
Delande, Dominique
Keywords: DRNTU::Science::Physics
Issue Date: 2013
Source: Lee, K. L., Grémaud, B., Miniatura, C., & Delande, D. (2013). Analytical and numerical study of uncorrelated disorder on a honeycomb lattice. Physical review B, 87(14), 144202-.
Series/Report no.: Physical review B
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.
URI: https://hdl.handle.net/10356/101624
http://hdl.handle.net/10220/18746
DOI: 10.1103/PhysRevB.87.144202
Rights: © 2013 American Physical Society. This paper was published in Physical Review B - Condensed Matter and Materials Physics and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevB.87.144202].  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:IAS Journal Articles

Files in This Item:
File Description SizeFormat 
Analytical and numerical study of uncorrelated disorder on a honeycomb lattice.pdf1.14 MBAdobe PDFThumbnail
View/Open

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.