Energy spectrum theory of incommensurate systems  

作　　者：Zhe He Xin-Yu Guo Zhen Ma Jin-Hua Gao 

机构地区：[1]School of Physics and Wuhan National High Magnetic Field Center,Huazhong University of Science and Technology,Wuhan 430074,China

出　　处：《National Science Review》2024年第12期128-135,共8页国家科学评论(英文版)

基　　金：supported by the National Natural Science Foundation of China(12141401 and 11874160);the National Key Research and Development Program of China(2022YFA1403501).

摘　　要：Because of the lack of translational symmetry,calculating the energy spectrum of an incommensurate system has always been a theoretical challenge.Here,we propose a natural approach to generalize energy band theory to incommensurate systems without reliance on the commensurate approximation,thus providing a comprehensive energy spectrum theory of incommensurate systems.Except for a truncation-dependent weighting factor,the formulae of this theory are formally almost identical to that of Bloch electrons,making it particularly suitable for complex incommensurate structures.Toil lustrate the application of this theory,we give three typical examples:one-dimensional bichromatic and trichromatic incommensurate potential models,as well as a moiréquasicrystal.Our theory establishes a fundamental framework for understanding incommensurate systems.

关 键 词：incommensurate system quasiperiodic potential plane-wave method moiréquasicrystal 

分 类 号：O469[理学—凝聚态物理]