量子反常霍尔体系的有限尺寸效应  

Finite-size effects of quantum anomalous Hall systems

作　　者：尹萍 陈作霖 邹永连 YIN Ping;CHEN Zuolin;ZOU Yonglian(School of Physics and Optoelectronics,Xiangtan University,Xiangtan 411105,China)

机构地区：[1]湘潭大学物理与光电工程学院,湖南湘潭411105

出　　处：《湘潭大学学报(自然科学版)》2025年第1期124-128,共5页Journal of Xiangtan University(Natural Science Edition)

基　　金：国家自然科学基金(11904308)。

摘　　要：拓扑绝缘体具有体内导电但是边界不导电的奇异性质.它具有非平庸的拓扑数,而量子反常霍尔效应是基于拓扑绝缘体材料并且向该材料进行磁性掺杂得到的.和拓扑绝缘体类似,它也具有无能隙激发的边界态,并且边界态在有限尺寸时也会互相发生耦合.该文采用与拓扑绝缘体有限尺寸类似的解析方法,计算得到了反常量子霍尔效应的有限尺寸效应,一个与尺寸宽度呈指数衰减的能隙也被打开.The topological insulator have a strange property that is conductive in vivo but not at the boundary.It has a non-mediocre topological number,and the quantum anomalous Hall effect is based on a topological insulator material and is obtained by magnetic addition to the material.Similar to topological insulators,it also has gapless excited boundary states,and the boundary states will also be coupled to each other at finite sizes.This paper takes an analytical approach similar to the finite size of the topological insulator and calculate the finite size effect of the anomalous quantum Hall effect,an energy gap that decayed exponentially with the size width is also opened.

关 键 词：有限尺寸效应 量子反常霍尔效应 拓扑绝缘体 陈数 

分 类 号：O469[理学—凝聚态物理]