论文标题
在连贯的扰动无序晶格中的存在和不存在)
Presence and Absence of Delocalization-localization Transition in Coherently Perturbed Disordered Lattices
论文作者
论文摘要
研究了一种新型的)由一维Anderson-Alocalizatizatization的无定位障碍系统引起的新型离域化。只有几个$ m $频率就实现了正常扩散,但是由于扰动强度削弱了临界值以下,向局部状态的过渡总是发生。过渡的性质定性地遵循安德森过渡(AT),如果自由度$ m+1 $的程度被视为空间尺寸$ d $,但是关键维度不是$ d = m+1-2 $,而是普通的,而是$ d = 3 $。
A new type of delocalization induced by coherent harmonic perturbations in one-dimensional Anderson-localized disordered systems is investigated. With only a few $M$ frequencies a normal diffusion is realized, but the transition to localized state always occurs as the perturbation strength is weakened below a critical value. The nature of the transition qualitatively follows the Anderson transition (AT) if the number of degrees of freedom $M+1$ is regarded as the spatial dimension $d$, but the critical dimension is not $d=M+1-2$ of the ordinary AT but $d=3$.