Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chains

Abstract Topology is being widely adopted to understand and to categorize quantum matter in modern physics. The nexus of topology orders, which engenders distinct quantum phases with benefits to both fundamental research and practical applications for future quantum devices, can be driven by topolog...

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Main Authors: Jingyuan Zhong, Ming Yang, Wenxuan Zhao, Kaiyi Zhai, Xuan Zhen, Lifu Zhang, Dan Mu, Yundan Liu, Zhijian Shi, Ningyan Cheng, Wei Zhou, Jianfeng Wang, Weichang Hao, Zhenpeng Hu, Jincheng Zhuang, Jinhu Lü, Yi Du
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-56593-4
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author Jingyuan Zhong
Ming Yang
Wenxuan Zhao
Kaiyi Zhai
Xuan Zhen
Lifu Zhang
Dan Mu
Yundan Liu
Zhijian Shi
Ningyan Cheng
Wei Zhou
Jianfeng Wang
Weichang Hao
Zhenpeng Hu
Jincheng Zhuang
Jinhu Lü
Yi Du
author_facet Jingyuan Zhong
Ming Yang
Wenxuan Zhao
Kaiyi Zhai
Xuan Zhen
Lifu Zhang
Dan Mu
Yundan Liu
Zhijian Shi
Ningyan Cheng
Wei Zhou
Jianfeng Wang
Weichang Hao
Zhenpeng Hu
Jincheng Zhuang
Jinhu Lü
Yi Du
author_sort Jingyuan Zhong
collection DOAJ
description Abstract Topology is being widely adopted to understand and to categorize quantum matter in modern physics. The nexus of topology orders, which engenders distinct quantum phases with benefits to both fundamental research and practical applications for future quantum devices, can be driven by topological phase transition through modulating intrinsic or extrinsic ordering parameters. The conjoined topology, however, is still elusive in experiments due to the lack of suitable material platforms. Here we use scanning tunneling microscopy, angle-resolved photoemission spectroscopy, and theoretical calculations to investigate the doping-driven band structure evolution of a quasi-one-dimensional material system, bismuth halide, which contains rare multiple band inversions in two time-reversal-invariant momenta. According to the unique bulk-boundary correspondence in topological matter, we unveil a composite topological phase, the coexistence of a strong topological phase and a high-order topological phase, evoked by the band inversion associated with topological phase transition in this system. Moreover, we reveal multiple-stage topological phase transitions by varying the halide element ratio: from high-order topology to weak topology, the unusual dual topology, and trivial/weak topology subsequently. Our results not only realize an ideal material platform with composite topology, but also provide an insightful pathway to establish abundant topological phases in the framework of band inversion theory.
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publishDate 2025-01-01
publisher Nature Portfolio
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spelling doaj-art-0c6f83f0e28f434db2122f1a1df49b3c2025-02-02T12:31:53ZengNature PortfolioNature Communications2041-17232025-01-011611810.1038/s41467-025-56593-4Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chainsJingyuan Zhong0Ming Yang1Wenxuan Zhao2Kaiyi Zhai3Xuan Zhen4Lifu Zhang5Dan Mu6Yundan Liu7Zhijian Shi8Ningyan Cheng9Wei Zhou10Jianfeng Wang11Weichang Hao12Zhenpeng Hu13Jincheng Zhuang14Jinhu Lü15Yi Du16School of Physics, Beihang University, Haidian DistrictSchool of Physics, Beihang University, Haidian DistrictState Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversityState Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversitySchool of Physics, Nankai UniversitySchool of Biomedical Engineering and Technology, Tianjin Medical UniversityHunan Key Laboratory of Micro-Nano Energy Materials and Devices, and School of Physics and OptoelectronicsHunan Key Laboratory of Micro-Nano Energy Materials and Devices, and School of Physics and OptoelectronicsSchool of Physics, Beihang University, Haidian DistrictInformation Materials and Intelligent Sensing Laboratory of Anhui Province, Key Laboratory of Structure and Functional Regulation of Hybrid Materials of Ministry of Education, Institutes of Physical Science and Information Technology, Anhui UniversitySchool of Electronic and Information Engineering, Changshu Institute of TechnologySchool of Physics, Beihang University, Haidian DistrictSchool of Physics, Beihang University, Haidian DistrictSchool of Physics, Nankai UniversitySchool of Physics, Beihang University, Haidian DistrictSchool of Automation Science and Electrical Engineering, Beihang UniversitySchool of Physics, Beihang University, Haidian DistrictAbstract Topology is being widely adopted to understand and to categorize quantum matter in modern physics. The nexus of topology orders, which engenders distinct quantum phases with benefits to both fundamental research and practical applications for future quantum devices, can be driven by topological phase transition through modulating intrinsic or extrinsic ordering parameters. The conjoined topology, however, is still elusive in experiments due to the lack of suitable material platforms. Here we use scanning tunneling microscopy, angle-resolved photoemission spectroscopy, and theoretical calculations to investigate the doping-driven band structure evolution of a quasi-one-dimensional material system, bismuth halide, which contains rare multiple band inversions in two time-reversal-invariant momenta. According to the unique bulk-boundary correspondence in topological matter, we unveil a composite topological phase, the coexistence of a strong topological phase and a high-order topological phase, evoked by the band inversion associated with topological phase transition in this system. Moreover, we reveal multiple-stage topological phase transitions by varying the halide element ratio: from high-order topology to weak topology, the unusual dual topology, and trivial/weak topology subsequently. Our results not only realize an ideal material platform with composite topology, but also provide an insightful pathway to establish abundant topological phases in the framework of band inversion theory.https://doi.org/10.1038/s41467-025-56593-4
spellingShingle Jingyuan Zhong
Ming Yang
Wenxuan Zhao
Kaiyi Zhai
Xuan Zhen
Lifu Zhang
Dan Mu
Yundan Liu
Zhijian Shi
Ningyan Cheng
Wei Zhou
Jianfeng Wang
Weichang Hao
Zhenpeng Hu
Jincheng Zhuang
Jinhu Lü
Yi Du
Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chains
Nature Communications
title Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chains
title_full Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chains
title_fullStr Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chains
title_full_unstemmed Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chains
title_short Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chains
title_sort coalescence of multiple topological orders in quasi one dimensional bismuth halide chains
url https://doi.org/10.1038/s41467-025-56593-4
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