非周期Kronig-Penney模型中的反常局部化
Anomalous localisation in the aperiodic Kronig-Penney model
摘要：
我们分析了具有弱组分和结构无序的Kronig-Penney模型中特定电子态的反常性质。使用的哈密顿映射的方法，我们表明，电子态的局域化长度表现出共振效应靠近带中心和带边缘的异常标度。这些异常类似于在具有对角无序的安德森模型中发现的相应异常。我们还讨论了如何组成和结构的无序之间的特定的交叉相关性可以产生一个有害的本地化状态附近的能带的中间。这种状态的尾部以相同的拉伸指数定律衰减，该定律表征了具有纯非对角无序的安德森模型中的带中心状态。
英文摘要：
We analyse the anomalous properties of specific electronic states in the Kronig-Penney model with weak compositional and structural disorder. Using the Hamiltonian map approach, we show that the localisation length of the electronic states exhibits a resonant effect close to the band centre and anomalous scaling at the band edges. These anomalies are akin to the corresponding ones found in the Anderson model with diagonal disorder. We also discuss how specific cross-correlations between compositional and structural disorder can generate an anomalously localised state near the middle of the energy band. The tails of this state decay with the same stretched-exponential law which characterises the band-centre state in the Anderson model with purely off-diagonal disorder.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
