从紧局域态解密平带  

Decoding flat bands from compact localized states

作　　者：陈宇戈 黄俊涛 蒋坤 胡江平 Yuge Chen;Juntao Huang;Kun Jiang;Jiangping Hu(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;Kavli Institute of Theoretical Sciences,University of Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]Beijing National Laboratory for Condensed Matter Physics and Institute of Physics,Chinese Academy of Sciences,Beijing 100190,China [2]School of Physical Sciences,University of Chinese Academy of Sciences,Beijing 100190,China [3]Kavli Institute of Theoretical Sciences,University of Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Science Bulletin》2023年第24期3165-3171,M0005,共8页科学通报（英文版）

基　　金：supported by the Ministry of Science and Technology of China(2022YFA1403901);the National Natural Science Foundation of China(11888101 and 12174428);the Strategic Priority Research Program of the Chinese Academy of Sciences(XDB28000000);the Chinese Academy of Sciences through the Youth Innovation Promotion Association(2022YSBR-048)。

摘　　要：平带系统由于平带自身不存在结构,是研究由电子——电子关联导致的各种新奇物理效应的理想量子平台.因此,从理论上寻找各种新型的平带系统就十分的重要.实现一个平带的核心要素是找到系统中蕴含的紧局域激发.本文开发了一种系统的方法,从一个简单的一维链出发,通过一系列有约束的变形,得到存在一个在边缘处波函数完全相干相消激发的一个有限系统.利用该方法构造的有限系统经过简单平移和组合就可以产生各种新型二维平带系统.此时,这些被构造出来的有限系统中,边缘处波函数完全相干相消的激发就构成了这些新型二维平带系统中的紧局域态.此外,作者还证明了该方法可以扩展到准晶和多轨道平带系统的构造中,并将这种设计方法扩展到了三维平带系统的构造中.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.

关 键 词：Flat bands Compact localized states Electronic structure Destructive interference 

分 类 号：O413[理学—理论物理]