Decoding flat bands from compact localized states

Yuge Chen; Juntao Huang; Kun Jiang; Jiangping Hu

doi:10.1016/j.scib.2023.11.032

Decoding flat bands from compact localized states

Sci Bull (Beijing). 2023 Dec 30;68(24):3165-3171. doi: 10.1016/j.scib.2023.11.032. Epub 2023 Nov 20.

Authors

Yuge Chen¹, Juntao Huang², Kun Jiang³, Jiangping Hu⁴

Affiliations

¹ Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
² Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China.
³ Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China. Electronic address: jiangkun@iphy.ac.cn.
⁴ Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; Kavli Institute of Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China. Electronic address: jphu@iphy.ac.cn.

PMID: 38007328
DOI: 10.1016/j.scib.2023.11.032

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 compact localized states by designing destructive interference patterns 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.

Keywords: Compact localized states; Destructive interference; Electronic structure; Flat bands.