Quantum higher-spin Hall insulators
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914488807063552 |
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| author | Kawakami, Takuto Kuzmenko, Igor Avishai, Yshai Meir, Yigal Sato, Masatoshi |
| author_facet | Kawakami, Takuto Kuzmenko, Igor Avishai, Yshai Meir, Yigal Sato, Masatoshi |
| contents | We develop a theory of quantum spin Hall insulators with arbitrary spin $J$. Our analysis demonstrates that such systems support $J+\tfrac{1}{2}$ pairs of helical edge modes protected by nontrivial mirror Chern numbers. We establish that the corresponding edge theory is described by a generalized Dirac fermion with higher-order dispersion. These modes produce unique transport responses that are non-linear with voltage. An in-plane magnetic field opens a mass gap in the edge spectrum, and magnetic domain walls host $(J+\tfrac{1}{2})$-fold degenerate bound states characterized by nontrivial winding numbers. Our results extend quantum spin Hall physics to higher-spin systems and suggest possible realizations in ultracold atomic gases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17479 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum higher-spin Hall insulators Kawakami, Takuto Kuzmenko, Igor Avishai, Yshai Meir, Yigal Sato, Masatoshi Mesoscale and Nanoscale Physics We develop a theory of quantum spin Hall insulators with arbitrary spin $J$. Our analysis demonstrates that such systems support $J+\tfrac{1}{2}$ pairs of helical edge modes protected by nontrivial mirror Chern numbers. We establish that the corresponding edge theory is described by a generalized Dirac fermion with higher-order dispersion. These modes produce unique transport responses that are non-linear with voltage. An in-plane magnetic field opens a mass gap in the edge spectrum, and magnetic domain walls host $(J+\tfrac{1}{2})$-fold degenerate bound states characterized by nontrivial winding numbers. Our results extend quantum spin Hall physics to higher-spin systems and suggest possible realizations in ultracold atomic gases. |
| title | Quantum higher-spin Hall insulators |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2604.17479 |