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Higher-order topological Anderson insulator on the Sierpiński lattice |
| Huan Chen(陈焕)1, Zheng-Rong Liu(刘峥嵘)1, Rui Chen(陈锐)1,†, and Bin Zhou(周斌)1,2,‡ |
1 Department of Physics, Hubei University, Wuhan 430062, China;
2 Key Laboratory of Intelligent Sensing System and Security of Ministry of Education, Hubei University, Wuhan 430062, China |
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Abstract Disorder effects on topological materials in integer dimensions have been extensively explored in recent years. However, its influence on topological systems in fractional dimensions remains unclear. Here, we investigate the disorder effects on a fractal system constructed on the Sierpiński lattice in fractional dimensions. The system supports the second-order topological insulator phase characterized by a quantized quadrupole moment and the normal insulator phase. We find that the second-order topological insulator phase on the Sierpiński lattice is robust against weak disorder but suppressed by strong disorder. Most interestingly, we find that disorder can transform the normal insulator phase to the second-order topological insulator phase with an emergent quantized quadrupole moment. Finally, the disorder-induced phase is further confirmed by calculating the energy spectrum and the corresponding probability distributions.
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Received: 08 October 2023
Revised: 06 November 2023
Accepted manuscript online: 06 November 2023
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PACS:
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72.15.Rn
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(Localization effects (Anderson or weak localization))
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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| Fund: R.C. acknowledges the support of the National Natural Science Foundation of China (Grant No. 12304195) and the Chutian Scholars Program in Hubei Province. B.Z. was supported by the National Natural Science Foundation of China (Grant No. 12074107), the program of outstanding young and middle-aged scientific and technological innovation team of colleges and universities in Hubei Province (Grant No. T2020001), and the innovation group project of the Natural Science Foundation of Hubei Province of China (Grant No. 2022CFA012). Z.-R.L. was supported by the Postdoctoral Innovation Research Program in Hubei Province (Grant No. 351342). |
Corresponding Authors:
Rui Chen, Bin Zhou
E-mail: chenr@hubu.edu.cn;binzhou@hubu.edu.cn
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Cite this article:
Huan Chen(陈焕), Zheng-Rong Liu(刘峥嵘), Rui Chen(陈锐), and Bin Zhou(周斌) Higher-order topological Anderson insulator on the Sierpiński lattice 2024 Chin. Phys. B 33 017202
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