教学讨论

能带结构的布里渊区折叠法浅析

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  • 南京大学固体微结构物理国家重点实验室,江苏 南京210093
吴宗铄(2000—),男,山东济宁人,南京大学物理学院2023级硕士生.
杨玉荣,E-mail:yangyr@nju.edu.cn

收稿日期: 2024-07-25

  修回日期: 2024-09-04

  网络出版日期: 2025-05-29

基金资助

国家自然科学基金(12274201)资助

Analysis of Brillouin zone folding method for band structures

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  • National Laboratory of Solid State Microstructures, Nanjing University, Nanjing, Jiangsu 210008, China

Received date: 2024-07-25

  Revised date: 2024-09-04

  Online published: 2025-05-29

摘要

能带是固体材料中重要的电子性质,它是在倒空间中高对称波矢所对应的电子能量本征值的连线. 能带结构和倒空间的布里渊区相联系. 当二维层状结构卷曲成管状结构时,相应的倒空间也会从二维转变为一维,因而一维结构的能带可以从二维结构的布里渊区折叠得到. 本文通过二维石墨烯与一维单壁碳纳米管、以及二维La3Ni2O7层状结构与其卷曲成的纳米管的能带两个实例介绍分析了能带结构的布里渊区折叠法.

本文引用格式

吴宗铄, 李旭, 张海军, 杨玉荣 . 能带结构的布里渊区折叠法浅析[J]. 大学物理, 2025 , 44(3) : 29 . DOI: 10.16854 /j.cnki.1000-0712.240337

Abstract

Electronic band structure is a key property in solid materials. It is the connecting lines of energy eigenvalues of the high symmetric points in the Brillouin zone. As the twodimensional layered structure is rolled into a tubular structure, the corresponding reciprocal space will also transform from two dimension to one dimension. Therefore, the energy band of a onedimensional structure can be obtained by folding the corresponding twodimensional Brillouin zone. In this paper, the Brillouin zone folding method of band structure is discussed from two examples, graphene and singlewalled carbon nanotubes, as well as the twodimensional La3Ni2O7 layered structure and its corresponding nanotubes by rolling the La3Ni2O7 layer.

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