Unconventional hybrid-order topological insulators

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Hauptverfasser: Jia, Wei, Tian, Yuping, Yang, Huanhuan, Kong, Xiangru, Huang, Zhi-Hao, Gong, Wei-Jiang, An, Jun-Hong
Format: Preprint
Veröffentlicht: 2025
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author Jia, Wei
Tian, Yuping
Yang, Huanhuan
Kong, Xiangru
Huang, Zhi-Hao
Gong, Wei-Jiang
An, Jun-Hong
author_facet Jia, Wei
Tian, Yuping
Yang, Huanhuan
Kong, Xiangru
Huang, Zhi-Hao
Gong, Wei-Jiang
An, Jun-Hong
contents Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological materials. Here, we report a class of unconventional hybrid-order topological insulators (HyOTIs), which simultaneously host various different higher-order topological states in a single band gap. Such topological states exhibit a unique bulk-boundary correspondence that is different from the well-known first-order topological states, higher-order topological states, and the coexistence of both. Particularly, we develop a generic surface theory to precisely capture them and discover a three-dimensional unconventional HyOTI protected by inversion symmetry, which renders both helical and corner topological states and exhibits an unprecedented bulk-edge-corner correspondence. By adjusting the parameters of the system, we also observe the nontrivial phase transitions between the inversion-symmetric HyOTI and other conventional phases. We further propose a circuit-based experimental scheme to detect these interesting results. Remarkably, we demonstrate that a modified tight-binding model of bismuth can support the unconventional HyOTI, suggesting a possible route for its material realization. This work shall significantly advance the research of hybrid topological states in both theory and experiment.
format Preprint
id arxiv_https___arxiv_org_abs_2507_22666
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unconventional hybrid-order topological insulators
Jia, Wei
Tian, Yuping
Yang, Huanhuan
Kong, Xiangru
Huang, Zhi-Hao
Gong, Wei-Jiang
An, Jun-Hong
Mesoscale and Nanoscale Physics
Materials Science
Strongly Correlated Electrons
Quantum Physics
Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological materials. Here, we report a class of unconventional hybrid-order topological insulators (HyOTIs), which simultaneously host various different higher-order topological states in a single band gap. Such topological states exhibit a unique bulk-boundary correspondence that is different from the well-known first-order topological states, higher-order topological states, and the coexistence of both. Particularly, we develop a generic surface theory to precisely capture them and discover a three-dimensional unconventional HyOTI protected by inversion symmetry, which renders both helical and corner topological states and exhibits an unprecedented bulk-edge-corner correspondence. By adjusting the parameters of the system, we also observe the nontrivial phase transitions between the inversion-symmetric HyOTI and other conventional phases. We further propose a circuit-based experimental scheme to detect these interesting results. Remarkably, we demonstrate that a modified tight-binding model of bismuth can support the unconventional HyOTI, suggesting a possible route for its material realization. This work shall significantly advance the research of hybrid topological states in both theory and experiment.
title Unconventional hybrid-order topological insulators
topic Mesoscale and Nanoscale Physics
Materials Science
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2507.22666