A simple model for the vibrational modes in honeycomb lattices

被引：27

作者：

Cserti, J

Tichy, G

机构：

[1] Eotvos Lorand Univ, Dept Phys Complex Syst, H-1117 Budapest, Hungary

[2] Eotvos Lorand Univ, Dept Solid State Phys, H-1117 Budapest, Hungary

来源：

EUROPEAN JOURNAL OF PHYSICS | 2004年 / 25卷 / 06期

关键词：

D O I：

10.1088/0143-0807/25/6/004

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

The classical lattice dynamics of honeycomb lattices is studied in the harmonic approximation. Interactions between nearest neighbours are represented by springs connecting them. A short and necessary introduction of the lattice structure is presented. The dynamical matrix of the vibrational modes is then derived and its eigenvalue problem is solved analytically. The solution may provide deeper insight into the nature of the vibrational modes. Numerical results for the vibrational frequencies are presented. To show how effective our method for the honeycomb lattice is, we also apply it to triangular and square lattice structures. A few suggested problems are listed in the concluding section.

引用

页码：723 / 736

页数：14