Quantum transport signatures of non-trivial topological edge states in a ring-shaped Su-Schrieffer-Heeger double-chain system

doi:10.1088/1674-1056/ac34ff

中国物理B ›› 2022, Vol. 31 ›› Issue (2): 27304-027304.doi: 10.1088/1674-1056/ac34ff

Quantum transport signatures of non-trivial topological edge states in a ring-shaped Su-Schrieffer-Heeger double-chain system

Cheng-Zhi Ye(叶成芝)¹, Lan-Yun Zhang(张蓝云)², and Hai-Bin Xue(薛海斌)^2,†

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

收稿日期:2021-08-17 修回日期:2021-10-08 接受日期:2021-11-01 出版日期:2022-01-13 发布日期:2022-01-25
通讯作者: Hai-Bin Xue E-mail:xuehaibin@tyut.edu.cn
基金资助:
Project 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), and the Natural Science Foundation of Shandong Province, China (Grant No. ZR2020MA091).

Quantum transport signatures of non-trivial topological edge states in a ring-shaped Su-Schrieffer-Heeger double-chain system

Cheng-Zhi Ye(叶成芝)¹, Lan-Yun Zhang(张蓝云)², and Hai-Bin Xue(薛海斌)^2,†

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

Received:2021-08-17 Revised:2021-10-08 Accepted:2021-11-01 Online:2022-01-13 Published:2022-01-25
Contact: Hai-Bin Xue E-mail:xuehaibin@tyut.edu.cn
Supported by:
Project 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), and the Natural Science Foundation of Shandong Province, China (Grant No. ZR2020MA091).

摘要/Abstract

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 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.

关键词: ring-shaped Su-Schrieffer-Heeger double-chain, non-trivial topological edge states, transmission probability

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.

Key words: ring-shaped Su-Schrieffer-Heeger double-chain, non-trivial topological edge states, transmission probability

中图分类号: (Electronic transport in mesoscopic systems)

73.23.-b

73.20.-r (Electron states at surfaces and interfaces) 71.23.An (Theories and models; localized states) 74.25.Jb (Electronic structure (photoemission, etc.))

Cheng-Zhi Ye(叶成芝), Lan-Yun Zhang(张蓝云), and Hai-Bin Xue(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.

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Quantum transport signatures of non-trivial topological edge states in a ring-shaped Su-Schrieffer-Heeger double-chain system

Quantum transport signatures of non-trivial topological edge states in a ring-shaped Su-Schrieffer-Heeger double-chain system

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