| 二维晶格色散关系和态密度的紧束缚模型计算 |
| |
| 引用本文： | 王妮娜,路洪艳,魏梦俊,徐慧,刘晓静,张娇娇,胡新春.二维晶格色散关系和态密度的紧束缚模型计算[J].淮北煤炭师范学院学报(自然科学版),2014(4):12-16. |
| |
| 作者姓名： | 王妮娜 路洪艳 魏梦俊 徐慧 刘晓静 张娇娇 胡新春 |
| |
| 作者单位： | 淮北师范大学 物理与电子信息学院,安徽 淮北,235000 |
| |
| 基金项目： | 国家自然科学基金项目(11104099)；安徽省自然科学基金项目(1408085QA12)；安徽省高等学校省级质量工程项目(2013jtxx042;2012jyxm261)；淮北师范大学校级教研项目(jy13235;jy12111)；安徽省大学生创新训练计划项目 |
| |
| 摘 要： | 文章利用紧束缚模型计算了二维正方、三角、六角格子色散关系。对于正方和三角格子，主要考虑电子在最近邻格点上的跳跃情况。对于六角格子，以石墨烯为例，考虑电子只在最近邻格点上跳跃以及同时考虑电子在最近邻和次近邻格点上跳跃两种情况。对于以上3种格子的色散关系，利用Matlab软件进行图形化，并用Fortran软件编程计算相应的态密度，计算结果对理解不同晶格的电学性质提供理论基础。
|
| 关 键 词： | 紧束缚模型 哈密顿量 二维晶格 色散关系 态密度 |
Solving the Dispersion Relation and Density of States of Two-dimensional Lattice by Tight Binding Model |
| |
| WANG Ni-na,LU Hong-yan,WEI Meng-jun,XU Hui,LIU Xiao-jing,ZHANG Jiao-jiao,HU Xin-chun.Solving the Dispersion Relation and Density of States of Two-dimensional Lattice by Tight Binding Model[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2014(4):12-16. |
| |
| Authors: | WANG Ni-na LU Hong-yan WEI Meng-jun XU Hui LIU Xiao-jing ZHANG Jiao-jiao HU Xin-chun |
| |
| Institution: | (School of Physics and Electronic Information, Huaibei Normal University,235000,Huaibei,Anhui, China) |
| |
| Abstract: | In this paper,we calculated the dispersion relations of two-dimensional square,triangular and hex？agonal lattice by tight binding model.For the square and triangular lattice,we mainly considered the electrons hops between the nearest neighbors,while for the hexagonal lattice,taking graphene as example,we consid？ered the electrons not only hops between the nearest neighbors but also between the next nearest neighbors. For the dispersion relations of above three kinds of lattices,we use Matlab software to draw the figures.Be？sides,the corresponding density of states （DOS） was calculated by Fortran software.These results provide a theoretical basis for understanding the electronic properties of different lattices. |
| |
| Keywords: | tight binding model Hamiltonian two-dimensional lattice dispersion relations density of states |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
