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二维耦合无序体系量子扩散的周期性振荡
Periodic Oscillations of Quantum Diffusion in Two-Dimensional Coupled Disordered Systems

DOI: 10.12677/app.2024.1412089, PP. 832-848

Keywords: 耦合系统,量子扩散,周期性振荡,Anderson局域化
Coupled Systems
, Quantum Diffusion, Periodic Oscillations, Anderson Localization

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Abstract:

本文首先介绍了二维材料与耦合机制,随后基于紧束缚近似理论研究二维耦合无序量子扩散现象,运用解析及数值的方法证实了二维耦合体系横向及纵向传播中的同步量子扩散周期性振荡。研究表明:双层无序石墨烯体系周期性振荡对无序度承受能力相对双层无序四方晶格体系更强。边界无序体系周期性振荡任意无序度下均存在。当无序仅处于系统边界, P k ( t ) d k ( t ) 振荡在波包到达边界后开始以 y k ( t )=0.5±0.5 e t/ t 0 cos( 2vt+ ) y k ( t )= P k ( t ) d

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