Flux Response of Rotation-Invariant Topological Insulators
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909733446746112 |
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| author | Xun, Yechen Zhang, Rui-Xing |
| author_facet | Xun, Yechen Zhang, Rui-Xing |
| contents | Threading magnetic flux into topological phases can induce bound states that reveal intrinsic properties of the ground state. In a 3D $\mathbb{Z}_2$ topological insulator, a quantized $π$ flux traps a pair of 1D helical modes, whereas a trivial insulator hosts none. In this work, we show that in the presence of even-fold rotation symmetry $C_n$, a 3D band insulator features a refined $\mathbb{Z}_2 \times \mathbb{Z}_2$ classification of the flux response. Specifically, it can host two distinct types of helical flux-bound modes that are distinguished by their angular momentum. When both types of flux modes coexist, the system is not a strong topological insulator, but a $C_n$-protected topological crystalline insulator. Building on this result, we propose that flux-threaded nanowires of such topological phase provide a natural platform for realizing 1D crystalline topological superconductors with multiple $C_n$-protected Majorana modes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_08357 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flux Response of Rotation-Invariant Topological Insulators Xun, Yechen Zhang, Rui-Xing Mesoscale and Nanoscale Physics Superconductivity Threading magnetic flux into topological phases can induce bound states that reveal intrinsic properties of the ground state. In a 3D $\mathbb{Z}_2$ topological insulator, a quantized $π$ flux traps a pair of 1D helical modes, whereas a trivial insulator hosts none. In this work, we show that in the presence of even-fold rotation symmetry $C_n$, a 3D band insulator features a refined $\mathbb{Z}_2 \times \mathbb{Z}_2$ classification of the flux response. Specifically, it can host two distinct types of helical flux-bound modes that are distinguished by their angular momentum. When both types of flux modes coexist, the system is not a strong topological insulator, but a $C_n$-protected topological crystalline insulator. Building on this result, we propose that flux-threaded nanowires of such topological phase provide a natural platform for realizing 1D crystalline topological superconductors with multiple $C_n$-protected Majorana modes. |
| title | Flux Response of Rotation-Invariant Topological Insulators |
| topic | Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2508.08357 |