一维准周期镶嵌模型的扩展态  

Extended States of a One-dimensional Quasi-periodic Mosaic Model

作　　者：张彪 张艳阳 ZHANG Biao;ZHANG Yanyang

机构地区：[1]广州大学物理与材料科学学院,广州510006

出　　处：《科技创新与应用》2024年第26期32-36,41,共6页Technology Innovation and Application

基　　金：广东省自然科学基金(2023A1515010698)。

摘　　要：最近的理论研究发现,一维准周期镶嵌模型存在迁移率边。在该文中,研究该模型的量子输运,尤其是扩展态的两端口电导,模型的输运相图、平均值和统计分布。扩展态的电导并不恒为1,而是有干涉共振条纹,用波函数的行为解释这些干涉条纹。该模型的扩展态能在极强的准周期势能下存活,通过电导的统计分布,以及与波函数分形维度的比较,解释其中的物理图像。Recent theoretical studies have found that there is a mobility edge in the one-dimensional quasi-periodic mosaic model.This paper studies the quantum transport of the model,especially the two-port conductance of the extended state,its transport phase diagram,average value and statistical distribution.The conductance of the extended state is not always 1,but there are interference resonance fringes.We explain these interference fringes by the behavior of wave function.The extended state of the model can survive under extremely strong quasi-periodic potential energy.Explain the physical images through the statistical distribution of conductance and the comparison with the fractal dimension of wave function.

关 键 词：准周期镶嵌模型 扩展态 电导 介观输运 量子输运 

分 类 号：O413[理学—理论物理]