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Disorder effects in the two-dimensional Lieb lattice and its extensions
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Mao, Xiaoyu, Liu, Jie, Zhong, Jianxin and Römer, Rudolf A. (2020) Disorder effects in the two-dimensional Lieb lattice and its extensions. Physica E: Low-Dimensional Systems and Nanostructures, 124 . 114340. doi:10.1016/j.physe.2020.114340 ISSN 1386-9477.
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Official URL: https://doi.org/10.1016/j.physe.2020.114340
Abstract
We study the localization properties of the two-dimensional Lieb lattice and its extensions in the presence of disorder using 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 band 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.
Item Type: | Journal Article | |||||||||||||||
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Subjects: | Q Science > QC Physics | |||||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | |||||||||||||||
Library of Congress Subject Headings (LCSH): | Quantum theory -- Mathematical models, Mathematical physics, Lattice theory | |||||||||||||||
Journal or Publication Title: | Physica E: Low-Dimensional Systems and Nanostructures | |||||||||||||||
Publisher: | Elsevier BV | |||||||||||||||
ISSN: | 1386-9477 | |||||||||||||||
Official Date: | October 2020 | |||||||||||||||
Dates: |
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Volume: | 124 | |||||||||||||||
Article Number: | 114340 | |||||||||||||||
DOI: | 10.1016/j.physe.2020.114340 | |||||||||||||||
Status: | Peer Reviewed | |||||||||||||||
Publication Status: | Published | |||||||||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||
Date of first compliant deposit: | 7 July 2020 | |||||||||||||||
Date of first compliant Open Access: | 9 July 2021 | |||||||||||||||
RIOXX Funder/Project Grant: |
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