中国物理B ›› 2006, Vol. 15 ›› Issue (2): 253-265.doi: 10.1088/1009-1963/15/2/003
田强1, 徐权2
Xu Quan (徐权)a, Tian Qiang (田强)b
摘要: By virtue of the method of multiple-scale and the quasi-discreteness approach, we have discussed the nonlinear vibration equation of a 3D discrete monatomic lattice with its nearest-neighbours interaction. The 3D simple cubic lattices have the same localized modes as a 1D discrete monatomic chain with cubic and quartic nonlinearity. The nonlinear vibration in the 3D simple cubic lattice has 3D distorted solitons and 3D envelop solitons in the direction of $k_{x}=k_{y}=k_{z}=k$ and $k=\pm \pi$/6$a_{0}$ in the Brillouin zone, as well as has 3D vortices in the direction of $k_{x}=k_{y}=k_{z}=k$ and $k=\pm \pi$/$a_{0}$ in the Brillouin zone.
中图分类号: (Theory of crystal structure, crystal symmetry; calculations and modeling)