物理学报2023，Vol.72Issue(24)：167-177,11.DOI:10.7498/aps.72.20231286
非厄米Su-Schrieffer-Heeger链边缘态和趋肤效应依赖的电子输运特性
Edge states and skin effect dependent electron transport properties of non-Hermitian Su-Schrieffer-Heeger chain
摘要
Abstract
In the non-reciprocal Su-Schrieffer-Heeger(SSH)chain,the hopping amplitude of an electron in the intra-cell depends on its hopping direction.Consequently,the non-Hermitian SSH chain has both non-trivial topological edge state and non-Hermitian skin effect.However,how to detect the non-trivial topological edge states and non-Hermitian skin effect has become an important topic in non-Hermitian physics.In this paper,we study the relationships of the non-trivial topological edge states and the non-Hermitian skin effect of non-Hermitian SSH chain with their electron transport properties in the vicinity of the zero energy.It is demonstrated that when the peak value of the electron transmission probability in the vicinity of the zero energy is much smaller than 1,the non-Hermitian SSH chain has a left-non-Hermitian skin effect;while that in the vicinity of the zero energy is much larger than 1,the non-Hermitian SSH chain has a right-non-Hermitian skin effect.In particular,the skin effect of non-Hermitian SSH chain can be further enhanced in the region of non-trivial topological edge states.Moreover,with the increase of the electron tunneling coupling amplitudes between the non-Hermitian SSH chain and the left and right leads from the weak coupling regime to the strong coupling one,the number of the dips of reflection probability in the vicinity of the zero energy will change from two to zero.Therefore,these results theoretically provide an alternative scheme for detecting non-trivial topological edge states and non-Hermitian skin effect types of the non-Hermitian SSH chain.关键词
边缘态/非厄米趋肤效应/非厄米Su-Schrieffer-Heeger链/反射率/透射率Key words
edge states/non-Hermitian skin effect/non-Hermitian Su-Schrieffer-Heeger chain/reflection probability/transmission probability引用本文复制引用
杨艳丽,段志磊,薛海斌..非厄米Su-Schrieffer-Heeger链边缘态和趋肤效应依赖的电子输运特性[J].物理学报,2023,72(24):167-177,11.基金项目
山西省应用基础研究计划(批准号:20210302123184,201601D011015)、山西省高等学校优秀青年学术带头人支持计划(批准号:163220120-S)和山西省高等学校教学改革创新项目(批准号:J20221492)资助的课题.Project supported by the Applied Basic Research Program of Shanxi Province,China(Grant Nos.20210302123184,201601D011015),the Outstanding Innovative Academic Leader of Higher Learning Institutions of Shanxi Province,China(Grant No.163220120-S),and the Teaching Reform and Innovation Project of Colleges and Universities in Shanxi Province,China(Grant No.J20221492). （批准号:20210302123184,201601D011015）
