Analytic expressions for topologically protected edge states in Su–Schrieffer–Heeger model

doi:10.1016/j.ssc.2022.114970

	Analytic expressions for topologically protected edge states in Su–Schrieffer–Heeger model
	Cheng, Jinhong1,2 ; Zhao, Qianru 1; Zheng, Yuqing 1; Lin, Tie 1; Meng, Xiangjian 1; Shen, Hong 1; Wang, Xudong 1; Wang, Jianlu 1; Chu, Junhao 1
	2022-12-01
发表期刊	SOLID STATE COMMUNICATIONS (IF:2.1[JCR-2023],1.9[5-Year])
ISSN	0038-1098
卷号	357
发表状态	已发表
DOI	10.1016/j.ssc.2022.114970
摘要	The Su–Schrieffer–Heeger (SSH) model can demonstrate the topological phase transition of spinless fermions in a two-dimensional square lattice. In this work, we investigate the topologically protected edge states (TESs) in 1D SSH ribbons by using the wave mechanics approach. A concise analytic equation is derived to determine the localization length of TESs. Based on the resulted localization length, the explicit analytic expressions are given for the energy dispersions and wave functions of TESs in 1D SSH ribbons. The effect of the size of the 1D SSH ribbon on the topological phase transition and the critical exponent of the localization length of TESs are further demonstrated. It also shows that the degeneracy of TESs is lifted due to the coupling of the two-side TESs. Our results can elucidate the TESs appearing in nontrivial phase, and can also be employed to optimize the structure of the nanoribbon devices. © 2022 Elsevier Ltd
关键词	Topology Wave functions Analytic expressions Edge state Localization length Protected edge state Spinless fermion Su Schrieffer Heeger model Topological phase Topological phase transition Two dimensional square lattice Wave mechanics
URL	查看原文
收录类别	SCIE ; EI
语种	英语
出版者	Elsevier Ltd
EI入藏号	20224212979305
EI主题词	Nanoribbons
EI分类号	761 Nanotechnology ; 921 Mathematics ; 921.4 Combinatorial Mathematics, Includes Graph Theory, Set Theory
原始文献类型	Journal article (JA)
Scopus 记录号	2-s2.0-85140139234
来源库	Scopus
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/241076
专题	物质科学与技术学院_硕士生
通讯作者	Lin, Tie; Meng, Xiangjian
作者单位	1.State Key Laboratory of Infrared Physics,Shanghai Institute of Technical Physics,Chinese Academy of Sciences,Shanghai,500 Yutian Road,200083,China 2.School of Physical Science and Technology,ShanghaiTech University,Shanghai,393 Middle Huaxia Road,201210,China
第一作者单位	物质科学与技术学院
推荐引用方式 GB/T 7714	Cheng, Jinhong,Zhao, Qianru,Zheng, Yuqing,et al. Analytic expressions for topologically protected edge states in Su–Schrieffer–Heeger model[J]. SOLID STATE COMMUNICATIONS,2022,357.
APA	Cheng, Jinhong.,Zhao, Qianru.,Zheng, Yuqing.,Lin, Tie.,Meng, Xiangjian.,...&Chu, Junhao.(2022).Analytic expressions for topologically protected edge states in Su–Schrieffer–Heeger model.SOLID STATE COMMUNICATIONS,357.
MLA	Cheng, Jinhong,et al."Analytic expressions for topologically protected edge states in Su–Schrieffer–Heeger model".SOLID STATE COMMUNICATIONS 357(2022).