摘要
应用数值方法研究了一维渐近准周期势Ｖｎ＝λｃｏｓ（Ｑｎ＋αｎν）（０＜ν＜１，及为无理数）中运动的电子的能级和波函数，发现当λ＞２时，所有的态都是局域态，而当λ＜２时，存在着扩展态、局域态和迁移率边界．我们研究了它们与参数Ｑ，α，ν的关系，发现能带结构由Ｑ决定，而α，ν是无关的参数．
The energy levels,wave functions of electron moving in a one-dimensional asymptotic quasiperiodic potential Vn=λcos(Qn+an) (0<ν<1,Q/2π is irrational)are studied by numerical method in,this paper. We find that when λ>2 all eigenstates are localized state, while λ<2 there are extended state, localized state and mobility edges. Finally, we studied the relations of these characters with the parameters Q,α,ν and discovered that the structure of energy level is determined by Q and α,ν are irrelevant parameters.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
1995年第3期23-29,共7页
Journal of Nanjing Normal University(Natural Science Edition)
基金
江苏省教育委员会自然科学基金
关键词
势能场
电子
渐近准周期势
局域态
扩展态
Asymptotic
Perioel
Potential energy fields
Electrons
Mobility
