Double-helicoid surface states in Dirac semimetals protected by glide-time-reversal symmetry
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916652571951104 |
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| author | Yukitake, Taiki Hara, Daisuke Murakami, Shuichi |
| author_facet | Yukitake, Taiki Hara, Daisuke Murakami, Shuichi |
| contents | Recently, some $Z_2$ monopole charges were defined for Dirac semimetals with $\mathcal{GT}$ symmetry ($\mathcal{G}$: glide, $\mathcal{T}$: time-reversal) in previous works, and the charges are believed to lead to double-helicoid surface states. However, no proof of the bulk-surface correspondence is given there. In this paper, we point out one of the $Z_2$ charges in the previous works is gauge-dependent, and newly define another $Z_2$ charge. Using this new $Z_2$ charge, we give a proof of the bulk-surface correspondence. We also compare the new $Z_2$ charge with the $Z_2$ invariant for $\mathcal{G}$-protected topological crystalline insulators, and the second Stiefel-Whitney number for $\mathcal{PT}$-protected nodal line semimetals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11152 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Double-helicoid surface states in Dirac semimetals protected by glide-time-reversal symmetry Yukitake, Taiki Hara, Daisuke Murakami, Shuichi Materials Science Mesoscale and Nanoscale Physics Recently, some $Z_2$ monopole charges were defined for Dirac semimetals with $\mathcal{GT}$ symmetry ($\mathcal{G}$: glide, $\mathcal{T}$: time-reversal) in previous works, and the charges are believed to lead to double-helicoid surface states. However, no proof of the bulk-surface correspondence is given there. In this paper, we point out one of the $Z_2$ charges in the previous works is gauge-dependent, and newly define another $Z_2$ charge. Using this new $Z_2$ charge, we give a proof of the bulk-surface correspondence. We also compare the new $Z_2$ charge with the $Z_2$ invariant for $\mathcal{G}$-protected topological crystalline insulators, and the second Stiefel-Whitney number for $\mathcal{PT}$-protected nodal line semimetals. |
| title | Double-helicoid surface states in Dirac semimetals protected by glide-time-reversal symmetry |
| topic | Materials Science Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2503.11152 |