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二维拓扑超导的Z2强弱拓扑分类

胡潇 肖进鹏 徐珮芝 许江川

井冈山大学学报(自然科学版)2025,Vol.46Issue(2):20-26,7.
井冈山大学学报(自然科学版)2025,Vol.46Issue(2):20-26,7.DOI:10.3969/j.issn.1674-8085.2025.02.003

二维拓扑超导的Z2强弱拓扑分类

THE Z2 TOPOLOGICAL CLASSIFICATION ON TWO-DIMENSIONAL TOPOLOGICAL SUPERCONDUCTORS

胡潇 1肖进鹏 1徐珮芝 1许江川1

作者信息

  • 1. 井冈山大学数理学院,江西,吉安 343009
  • 折叠

摘要

Abstract

A set of invariants related to particle-hole symmetry is found from the Zak phase angle,the equivalent between the Kitaev Z2 invariant and the Zak phase in two-dimentional system is proved in this paper.This set of invariants provides more complete information about the topology boundary zero modes than the Chern numbers.On this base,two topological superconductivity is classified as strong and weak,and the causes of mismatch between the Chern numbers and the numbers of Majorana zero modes in topological superconductors are explained.Compared with the topological insulator,the topological superconductivity is characterized by the Z2 invariant rather than the Chern numbers.

关键词

拓扑分类/强拓扑超导/弱拓扑超导/Z2不变量/二维系统

Key words

topological classification/strong topological superconductors/weak topological superconductors/Z2 topological invariant/two dimensional system

分类

物理学

引用本文复制引用

胡潇,肖进鹏,徐珮芝,许江川..二维拓扑超导的Z2强弱拓扑分类[J].井冈山大学学报(自然科学版),2025,46(2):20-26,7.

基金项目

国家自然科学基金项目(11947082) (11947082)

井冈山大学自然科学基金项目(JZ2403) (JZ2403)

井冈山大学2023年校级大学生创新创业训练计划项目 ()

井冈山大学学报(自然科学版)

1674-8085

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