Disorder effects in the two-dimensional Lieb lattice and its extensions
Disordered Systems and Neural Networks
2020-08-05 v2 Strongly Correlated Electrons
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 . 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.
Keywords
Cite
@article{arxiv.2001.05830,
title = {Disorder effects in the two-dimensional Lieb lattice and its extensions},
author = {Xiaoyu Mao and Jie Liu and Jianxin Zhong and Rudolf A. Römer},
journal= {arXiv preprint arXiv:2001.05830},
year = {2020}
}
Comments
7 pages, 20 figures, 1 table