关键词: 
Lindhard势 /
超晶格 /
非线性 /
共振

摘要: 假设超晶格“折沟道”对粒子的作用等效为形状相似的周期调制； 利用Lindhard 展开势， 并在小振幅近似下， 将面沟道粒子的运动行为化为了具有硬特性的弹簧振子。 利用多重尺度法分析了共振线附近的粒子运动行为， 讨论了系统的主共振、 子共振和超共振。 计算了超晶格“折沟道”临界斜率与系统参数之间的关系， 为研究超晶格光磁电效应提供了理论分析。It is assumed that a periodic modulation is equivalent to the deflected channel of the superlattice. In the small amplitude approximation the particle motion equation has been reduced to the Duffing equation with a hard-spring properties by using Lindhard expanded potential. The main resonance, the sub-harmonic resonance and the super-harmonic resonance have been analysed by the multi-scale technique. The critical parameter of the deflected channelling has been calculated, the results provided a theory analyse for the photo-magneto-electric effects of the superlattice. 