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

Xiaoyu Mao (1) , Jie Liu (2) , Jianxin Zhong (3) , Rudolf Römer (4, 5)

1 School of Physics and Optoelectronics
2 School of Physics and Optoelectronics
3 School of Physics and Optoelectronics
4 Department of Physics, University of Warwick
5 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation

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.

Domains: Physics [physics]; Condensed Matter [cond-mat]; Disordered Systems and Neural Networks [cond-mat.dis-nn]

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, 2020, 124, pp.114340. ⟨10.1016/j.physe.2020.114340⟩. ⟨hal-03636454⟩