一维非公度系统中电子的动力学行为

Electronic Dynamics in an Incommensurate System

本文研究了一类非公度系统中电子运动的能谱及其与电子动力学性质的联系 ,分析了体系的本征能量E与参数λ的关系 ,计算了自关联函数C(t)和均方位移σ(t) ,分析其长期行为 ,发现当体系各态均为扩展态时 ,σ(t)～t1,C(t)～t- 1,当体系中仅存在局域态时 ,σ(t)～t0 ,C(t)～t0 ;当体系在复杂相区时 ,体系的长期行为 ,即t→∞时 ,σ(t)～t1。

The relation between electronic eigenenergies E,λ and dynamics of a one-dimensional incommensurate system has been studied.By calculating the autocorrelation function C(t) and mean square displacement σ(t) and analyzing their long-time behavior,we find σ(t)～t 1 and C(t)～t -1 , when all states in the system become extended.In the regime with absolute localized states,σ(t)～t O,C(t)～t O,there exists a complex phase regime in which extended states and localized states coexist.In the regime the long-time behavior of C(t) is σ(t)～t 1.