随机无序对一维Kitaev模型拓扑和局域化特性的影响  

Effect of Random Disorder on the Topology and Localization Properties of the One-dimensional Kitaev Model

作　　者：刘晓阳 武晔虹 陆展鹏 徐志浩[1,2,4] LIU Xiaoyang;WU Yehong;LU Zhanpeng;XU Zhihao(Institute of Theoretical Physics,Shanxi University,Taiyuan 030006,China;State Key Laboratory of Quantum Optics and Quantum Optics Devices,Shanxi University,Taiyuan 030006,China;School of Basic Medical Sciences,Shanxi Medical University,Taiyuan 030001,China;Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学理论物理研究所,山西太原030006 [2]山西大学量子光学与光量子器件国家重点实验室,山西太原030006 [3]山西医科大学基础医学院,山西太原030001 [4]山西大学极端光学协同创新中心,山西太原030006

出　　处：《山西大学学报（自然科学版）》2024年第4期792-803,共12页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11604188,12147215,11905118);山西省基础研究计划(20210302123442);北京凝聚态物理国家研究中心开放课题,山西省“1331工程”重点学科建设计划资助的课题。

摘　　要：本文研究了在位无序、跃迁无序、超导配对无序和这三种无序都有的完全无序对Kitaev模型拓扑特性、态密度(DOS)和局域化性质的影响。这种影响可能会诱发新的拓扑相,也可能使已有的拓扑特性消失。通过对比DOS和拓扑相图的结果,发现DOS中存在零模峰并不能作为探测拓扑相变的证据。最后以在位无序效应为例,分析了有限尺寸情况下的Kitaev模型的局域化性质。In this paper,we study the topological properties,the density of states(DOS),and the localization properties of the Kitaev mode with the on-site disorder,the hopping disorder,the superconducting pairing disorder,and the full disorder,which includes all the above three disorders.These disorder effects may induce topologically nontrivial phases or destroy topologically nontrivial properties.We also compare the DOS with the topological phase diagram,and find that the existence of the zero-energy peak cannot be used as a proof in the experimental detection.Finally,we study the localization properties of the Kitaev mode with the on-site disorder effect as an example in finite-size cases.

关 键 词：Majorana费米子 Z_(2)拓扑不变量 LYAPUNOV指数 态密度 

分 类 号：O469[理学—凝聚态物理]