大学物理 ›› 2025, Vol. 44 ›› Issue (4): 86-.doi: 10.16854 /j.cnki.1000-0712.240360

• 大学生园地 • 上一篇    下一篇

hcp晶格s能带的紧束缚近似计算

蒋浩林,袁喆   

  1. 1. 复旦大学 物理学系,上海200437;2. 复旦大学 微纳电子器件与量子计算机研究院,上海200433
  • 收稿日期:2024-08-07 修回日期:2024-08-27 出版日期:2025-06-25 发布日期:2025-07-01
  • 作者简介:蒋浩林(2004—),男,四川广安人,复旦大学物理学系22级本科生.

The tight-binding approximation calculation of the s-band in hcp lattice

JIANG Haolin1, YUAN Zhe2   

  1. 1. Department of Physics, Fudan University, Shanghai 200437, China;
    2. Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai 200433, China
  • Received:2024-08-07 Revised:2024-08-27 Online:2025-06-25 Published:2025-07-01

摘要: 紧束缚近似是计算固体中电子能带的重要方法.近期一篇文章错误地运用紧束缚近似计算了六角密堆积晶格能带,得到了复数的能量本征值.本文指出了其计算中的教条性错误,给出了正确的计算方法和结果,并且对能带的对称性,极值点,高对称路径上的布洛赫函数特性以及受次近邻交叠积分的影响进行了详细讨论.

关键词: 固体能带, 紧束缚近似, 六角密堆晶格

Abstract: The tightbinding approximation is an important method for calculating electron energy bands in solids. Recently, an article incorrectly applied the tightbinding approximation to calculate the energy bands of hexagonal closepacked (hcp) lattice, resulting in complex energy eigenvalues. This paper identifies the doctrinal errors in their calculations, presents the correct calculation methods and results, and provides a detailed discussion on the symmetry of the energy bands, the extremal points, the characteristics of Bloch functions along highsymmetry paths, and the effects of nextnearest neighbor overlap integrals.

Key words: solid energy bands, tightbinding approximation, hexagonal closepacked lattice