Interplay of Flat-band and Anderson localizations in disordered moire superlattices
Abstract
Disorder in moire superlattices simultaneously degrades flat-band localization and induces Anderson localization, yet how these two regimes interact has remained unclear. Here, we introduce a combined framework linking localization-length scaling with differential probability density analysis to map localization transitions in partially disordered one-dimensional silicon moire lattices. It is found that flat bands confined within the interband gap keep their strong localization even as disorder grows. In contrast, flat bands intersecting dispersive bands exhibit rich behaviors: the low-frequency branch undergoes an inverse Anderson transition, while the high-frequency branch supports coexisting flat-band and Anderson localization at strong disorder. Our results deliver the direct evidence of competing localization mechanisms in disordered moire systems and offer guiding principles for engineering robust, nonideal moire photonic devices.
Keywords
Cite
@article{arxiv.2604.20272,
title = {Interplay of Flat-band and Anderson localizations in disordered moire superlattices},
author = {Qian Liu and Xiaoshuang Xia and Junjie Wang and Peilong Hong and Lei Xu and Lujun Huang and Daohong Song and Yi Liang},
journal= {arXiv preprint arXiv:2604.20272},
year = {2026}
}
Comments
5pages, 6figures