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Disorder effects in the two-dimensional Lieb lattice and its extensions

Abstract : We study the localization properties of the two-dimensional Lieb lattice and its extensions in the presence of disorder using the transfer matrix method and finite-size scaling. We find that all states in the Lieb lattice and its extensions are localized for W ≥ 1. Clear differences in the localization properties between disordered flat bands and disordered dispersive bands are identified. Our results complement previous experimental studies of clean photonic Lieb lattices and provide information about their stability with respect to disorder.
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Contributor : Rudo Roemer Connect in order to contact the contributor
Submitted on : Sunday, April 10, 2022 - 2:26:14 PM
Last modification on : Wednesday, May 18, 2022 - 2:59:58 PM

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Xiaoyu Mao, Jie Liu, Jianxin Zhong, Rudolf Römer. Disorder effects in the two-dimensional Lieb lattice and its extensions. Physica E: Low-dimensional Systems and Nanostructures, Elsevier, 2020, 124, pp.114340. ⟨10.1016/j.physe.2020.114340⟩. ⟨hal-03636454⟩

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