Lu Yan-Yan, Mu Zhao-Nan, Huang Yu, Guo Gui-Rong, Li Han-Hui, Xiong Shao-Jie, Zhong Jian-Xin
School of Computer and Information Engineering, Guizhou University of Commerce, Guizhou, 550014, China.
Guizhou Power Grid Company Limited Guiyang Power Supply Bureau, Guizhou, 550001, China.
Sci Rep. 2024 Jul 5;14(1):15528. doi: 10.1038/s41598-024-66391-5.
This paper utilizes the theory of quantum diffusion to analyze the electron probability and spreading width of a wavepacket on each layer in a two-dimensional (2D) coupled system with edge disorder, aiming to clarify the effects of edge disorder on the stability of the electron periodic oscillations in 2D coupled systems. Using coupled 2D square lattices with edge disorder as an example, we show that, the electron probability and wavepacket spreading width exhibit periodic oscillations and damped oscillations, respectively, before and after the wavepacket reaches the boundary. Furthermore, these electron oscillations exhibit strong resistance against disorder perturbation with a longer decay time in the regime of large disorder, due to the combined influences of ordered and disordered site energies in the central and edge regions. Finally, we numerically verified the universality of the results through bilayer graphene, demonstrating that this anomalous quantum oscillatory behavior is independent of lattice geometry. Our findings are helpful in designing relevant quantum devices and understanding the influence of edge disorder on the stability of electron periodic oscillations in 2D coupled systems.
本文利用量子扩散理论分析了具有边缘无序的二维（2D）耦合系统中各层上波包的电子概率和展宽宽度，旨在阐明边缘无序对二维耦合系统中电子周期性振荡稳定性的影响。以具有边缘无序的耦合二维方格为例，我们表明，在波包到达边界之前和之后，电子概率和波包展宽宽度分别呈现周期性振荡和阻尼振荡。此外，由于中心和边缘区域有序和无序位点能量的综合影响，这些电子振荡在大无序 regime 中对无序微扰表现出很强的抗性，具有较长的衰减时间。最后，我们通过双层石墨烯对结果的普遍性进行了数值验证，表明这种反常的量子振荡行为与晶格几何形状无关。我们的发现有助于设计相关量子器件，并理解边缘无序对二维耦合系统中电子周期性振荡稳定性的影响。
