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.
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.
出处
《淮北师范大学学报（自然科学版）》
CAS
2014年第4期12-16,共5页
Journal of Huaibei Normal University：Natural Sciences
基金
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
2011248
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(AH201310373143)
关键词
紧束缚模型
哈密顿量
二维晶格
色散关系
态密度
tight binding model
Hamiltonian
two-dimensional lattice
dispersion relations
density of states
