| 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].井冈山大学自然版,2025,46(2):20-26 |
| 二维拓扑超导的Z2强弱拓扑分类 |
| THE Z2 TOPOLOGICAL CLASSIFICATION ON TWO-DIMENSIONAL TOPOLOGICAL SUPERCONDUCTORS |
| 投稿时间：2024-11-03 修订日期：2024-12-28 |
| DOI：10.3969/j.issn.1674-8085.2025.02.003 |
| 中文关键词: 拓扑分类 强拓扑超导 弱拓扑超导 Z2不变量 二维系统 |
| 英文关键词: topological classification strong topological superconductors weak topological superconductors Z2 topological invariant two dimensional system |
| 基金项目:国家自然科学基金项目(11947082)；井冈山大学自然科学基金项目(JZ2403)；井冈山大学 2023 年校级大学生创新创业训练计划项目 |
|
| 摘要点击次数: 101 |
| 全文下载次数: 238 |
| 中文摘要: |
| 研究从 Zak 相位角度出发, 寻找与粒子-空穴对称相关的一组 Z2 不变量, 证明了在二维拓扑超导中 Z2不变量与 Kitaev Z2 不变量的等价性。这组 Z2不变量提供了陈数无法提供的关于边界拓扑零模更完备的信息。在此基础上, 本研究将二维拓扑超导作强弱拓扑分类。并据此解释了拓扑超导材料中存在的一类陈数和马约拉纳费米子零模数量不匹配的原因。相比拓扑绝缘体，拓扑超导的特有性质应由 Z2不变量而不是陈数表征。 |
| 英文摘要: |
| 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. |
|
查看全文
查看/发表评论 下载PDF阅读器 |
| 关闭 |
