Institut de Física Interdisciplinària i de Sistemes Complexos, IFISC (CSIC-UIB), E-07122 Palma de Mallorca, Spain.
Departament de Física, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
Phys Rev E. 2016 Mar;93(3):032105. doi: 10.1103/PhysRevE.93.032105. Epub 2016 Mar 4.
We discuss a model of random segmented wire, with linear segments of two-dimensional wires joined by circular bends. The joining vertices act as scatterers on the propagating electron waves. The model leads to resonant Anderson localization when all segments are of similar length. The resonant behavior is present with one and also with several propagating modes. The probability distributions evolve from diffusive to localized regimes when increasing the number of segments in a similar way for long and short localization lengths. As a function of the energy, a finite segmented wire typically evolves from localized to diffusive to ballistic behavior in each conductance plateau.
我们讨论了一种随机分段线模型,其中二维线的线性段由圆形弯曲连接。连接顶点作为传播电子波的散射中心。当所有线段长度相同时,该模型导致共振安德森局域化。当增加传播模式的数量时,也存在共振行为。当增加类似长度的线段数量时,概率分布从扩散到局域化区域的演化方式相同。作为能量的函数,在每个电导率平台中,典型的有限分段线通常从局域化到扩散再到弹道行为演变。