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

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arxiv 2001.05830 v2 pith:WNLWGE2K submitted 2020-01-16 cond-mat.dis-nn cond-mat.str-el

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

Xiaoyu Mao , Jie Liu , Jianxin Zhong , Rudolf A. R\"omer This is my paper
classification cond-mat.dis-nn cond-mat.str-el
keywords liebdisorderextensionslatticedisorderedlocalizationpropertiestwo-dimensional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $W \geq 1$. 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.

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