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Quantum transport signatures of non-trivial topological edge states in a ring-shaped Su–Schrieffer–Heeger double-chain system
引用本文:叶成芝,张蓝云,薛海斌. Quantum transport signatures of non-trivial topological edge states in a ring-shaped Su–Schrieffer–Heeger double-chain system[J]. 中国物理 B, 2022, 31(2): 27304-027304. DOI: 10.1088/1674-1056/ac34ff
作者姓名:叶成芝  张蓝云  薛海斌
作者单位:1.School of Physics and Electronic Engineering, Linyi University, Linyi 276005, China;2.Key Laboratory of Interface Science and Engineering in Advanced Materials, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China
基金项目:supported by the National Natural Science Foundation of China(Grant No.11974153);the Natural Science Foundation of Shanxi Province,China(Grant No.20210302123184);the Program for the Outstanding Innovative Teams of Higher Learning Institutions of Shanxi Province,China(Grant No.163220120-S);the Natural Science Foundation of Shandong Province,China(Grant No.ZR2020MA091)。
摘    要:In the ring-shaped Su–Schrieffer–Heeger(SSH)double-chain,the quantum interference between the two different electron tunneling paths of the upper and lower chains has an important influence on the electron transport properties of non-trivial topological edge states.Here,we have studied the electron transport signatures of non-trivial topological edge states in a ring-shaped SSH double-chain system based on the wave-guide theory and transfer-matrix method.In the ringshaped SSH double-chain with the upper chain being different from the lower one,it is demonstrated that the electron transmission probability displays the four and two resonance peaks associated with the non-trivial topological edge states in the weak and strong coupling regimes,respectively.Whereas in the case of the upper chain being the same as the lower one,the two transmission resonance peaks associated with the non-trivial topological edge states in the weak coupling regime are only found,and that in the strong coupling regime disappear that originated from the destructive interference between the two different electron tunneling paths of the upper and lower chains.Consequently,the variation of the number of transmission resonance peaks associated with the non-trivial topological edge states in the weak and strong coupling regimes suggests that an alternative scheme for detecting non-trivial topological edge states in the ring-shaped SSH doublechain system.

关 键 词:ring-shaped  Su-Schrieffer-Heeger  double-chain  non-trivial  topological  edge  states  transmission  probability
收稿时间:2021-08-17

Quantum transport signatures of non-trivial topological edge states in a ring-shaped Su-Schrieffer-Heeger double-chain system
Cheng-Zhi Ye,Lan-Yun Zhang,Hai-Bin Xue. Quantum transport signatures of non-trivial topological edge states in a ring-shaped Su-Schrieffer-Heeger double-chain system[J]. Chinese Physics B, 2022, 31(2): 27304-027304. DOI: 10.1088/1674-1056/ac34ff
Authors:Cheng-Zhi Ye  Lan-Yun Zhang  Hai-Bin Xue
Affiliation:1.School of Physics and Electronic Engineering, Linyi University, Linyi 276005, China;2.Key Laboratory of Interface Science and Engineering in Advanced Materials, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China
Abstract:In the ring-shaped Su-Schrieffer-Heeger (SSH) double-chain, the quantum interference between the two different electron tunneling paths of the upper and lower chains has an important influence on the electron transport properties of non-trivial topological edge states. Here, we have studied the electron transport signatures of non-trivial topological edge states in a ring-shaped SSH double-chain system based on the wave-guide theory and transfer-matrix method. In the ring-shaped SSH double-chain with the upper chain being different from the lower one, it is demonstrated that the electron transmission probability displays the four and two resonance peaks associated with the non-trivial topological edge states in the weak and strong coupling regimes, respectively. Whereas in the case of the upper chain being the same as the lower one, the two transmission resonance peaks associated with the non-trivial topological edge states in the weak coupling regime are only found, and that in the strong coupling regime disappear that originated from the destructive interference between the two different electron tunneling paths of the upper and lower chains. Consequently, the variation of the number of transmission resonance peaks associated with the non-trivial topological edge states in the weak and strong coupling regimes suggests that an alternative scheme for detecting non-trivial topological edge states in the ring-shaped SSH double-chain system.
Keywords:ring-shaped Su-Schrieffer-Heeger double-chain  non-trivial topological edge states  transmission probability  
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