Floquet规范转变诱导拓扑π模产生的理论分析

人工晶体学报 ›› 2021, Vol. 50 ›› Issue (7): 1340-1347.

Floquet规范转变诱导拓扑π模产生的理论分析

宋万鸽, 祝世宁, 李涛

南京大学现代工程与应用科学学院,南京 210023

收稿日期:2021-04-22 出版日期:2021-07-15 发布日期:2021-08-16
通讯作者: 李涛,博士,教授。E-mail:taoli@nju.edu.cn
作者简介:宋万鸽(1995—),男,山西省人,博士研究生。E-mail:songwange@smail.nju.edu.cn
基金资助:
国家重点研发计划(2017YFA0303701);国家自然科学基金(91850204);南京大学登峰人才计划

Topological Origin of π Interface Modes Induced by Floquet Gauge Transition

SONG Wange, ZHU Shining, LI Tao

College of Engineering and Applied Sciences, Nanjing University, Nanjing 210023, China

Received:2021-04-22 Online:2021-07-15 Published:2021-08-16

摘要/Abstract

摘要： 拓扑绝缘体是一类内部绝缘而在表面可以导电的物态,其倒空间的能带具有非平庸的拓扑特性,而在其实空间的边界上具有可以单向传播的边界态。这种拓扑界面态出现往往依赖于界面处的拓扑相变。而最近有研究在一类Floquet的拓扑体系中实验观测到一种规范场相变诱导产生的拓扑π模,这种拓扑态的产生可能不依赖于拓扑相变。本文对于这种规范场诱导的拓扑π模的产生机理做出了理论解释。两个Floquet规范相反的体系的哈密顿量由于规范相变而具有相反的π能隙质量项,类似于Jackiw-Rebbi模型,从而导致拓扑界面态的出现。本文的研究为规范场相变诱导拓扑模式的产生提供了理论基础,并加深了人们对于Floquet规范场的理解。

关键词: Floquet系统, 拓扑π模, 人工规范场, Su-Schriffer-Heeger模型, Jackiw-Rebbi模型, 拓扑绝缘体

Abstract: Topological insulator is a kind of phase of matter that is internally insulated and can conduct electricity on the surface. The energy band of a topological insulator has non-trivial topological characteristics, which supports a boundary state that can propagate in one direction. The appearance of topological states usually depends on the topological phase transition at the interface or boundary. Recently, a new topological π mode induced by gauge transitions has been successfully observed experimentally in Floquet systems, despite the same topological order across the whole lattices. In this paper, the origin of the topological π mode induced by the gauge field transition are discussed. The Hamiltonian of two Floquet systems with different gauges has opposite π gap mass terms due to gauge transition, thus leads to the emergence of interface states, which is similar to the Jackiw-Rebbi model. The research of this paper provides a theoretical basis for the generation of topological states from gauge transitions, and deepen the understanding of the Floquet gauge.

Key words: Floquet system, topological π mode, artificial gauge field, Su-Schriffer-Heeger model, Jackiw-Rebbi model, topological insulator

中图分类号:

O469

宋万鸽, 祝世宁, 李涛. Floquet规范转变诱导拓扑π模产生的理论分析[J]. 人工晶体学报, 2021, 50(7): 1340-1347.

SONG Wange, ZHU Shining, LI Tao. Topological Origin of π Interface Modes Induced by Floquet Gauge Transition[J]. JOURNAL OF SYNTHETIC CRYSTALS, 2021, 50(7): 1340-1347.

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