Decoding flat bands from compact localized states
Strongly Correlated Electrons
2023-12-12 v1 Superconductivity
Abstract
The flat band system is an ideal quantum platform to investigate the kaleidoscope created by the electron-electron correlation effects. The central ingredient of realizing a flat band is to find its compact localized states. In this work, we develop a systematic way to generate the compact localized states by designing destructive interference pattern from 1-dimensional chains. A variety of 2-dimensional new flat band systems are constructed with this method. Furthermore, we show that the method can be extended to generate the compact localized states in multi-orbital systems by carefully designing the block hopping scheme, as well as in quasicrystal and disorder systems.
Cite
@article{arxiv.2212.13526,
title = {Decoding flat bands from compact localized states},
author = {Yuge Chen and Juntao Huang and Kun Jiang and Jiangping Hu},
journal= {arXiv preprint arXiv:2212.13526},
year = {2023}
}