EPJ Web Conf.
Volume 233, 2020Portuguese Condensed Matter Physics National Conference (CMPNC 2019)
|Number of page(s)||6|
|Section||Thin films, Nanostructures, Artificially Structured Materials, Device Physics|
|Published online||16 April 2020|
Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method
1 Centro de Física das Universidades do Minho e Porto Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto, 4169-007 Porto, Portugal
Published online: 16 April 2020
In this paper, we report numerical calculations of the localization length in a non-interacting one-dimensional tight-binding model at zero tem¬perature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial implementation of the Thouless formula for the inverse localization length of a general nearest-neighbor 1D tight-binding model with open boundaries. Our results confirm the delocalization of all eigenstates in de Moura-Lyra model for α > 1 and a localization length which diverges as ξ ∝ (1 – α)–1 for α → 1–, at all energies in the weak disorder limit (as previously seen in ).
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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