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

被引：18
|
作者：
Mao, Xiaoyu [1 ]
Liu, Jie [1 ]
Zhong, Jianxin [1 ]
Romer, Rudolf A. [1 ,2 ,3 ,4 ]
机构：
[1] Xiangtan Univ, Sch Phys & Optoelect, Xiangtan 411105, Peoples R China
[2] Univ Warwick, Dept Phys, Coventry CV4 7AL, W Midlands, England
[3] CY Cergy Paris Univ, CY Adv Studies, F-95302 Cergy Pontoise, France
[4] CY Cergy Paris Univ, LPTM UMR8089 CNRS, F-95302 Cergy Pontoise, France
来源：
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2020年 / 124卷
基金：
中国国家自然科学基金;
关键词：
SCALING THEORY; LOCALIZATION; FERROMAGNETISM; PARTICLES; ELECTRONS;
D O I：
10.1016/j.physe.2020.114340
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
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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收藏
页数：6
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