Topological invariant for holographic Weyl-Nodal line coexisting semimetal
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915638732128256 |
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| author | Chen, Xiantong Ji, Xuanting Sun, Ya-Wen |
| author_facet | Chen, Xiantong Ji, Xuanting Sun, Ya-Wen |
| contents | The presence of a topological phase in a topological many-body system can be distinguished through the analysis of topological invariants. In the present study, the topological invariants for the strongly coupled holographic semimetals have been systematically computed, especially focusing on the holographic Weyl-Nodal line coexisting semimetal. The topological invariants that we calculate include the Weyl charge, the topological charges for a nodal ring $ζ_0$, $ζ_1$, $ζ_2$ and an additional mirror symmetry protected topological invariant, $\widetildeζ_{2}$, that we herein introduce. In addition, the effective band structures and topological invariants in the critical phases of holographic semimetals are investigated, including the case of Weyl, nodal line and Weyl-Nodal line coexisting semimetals. The findings indicate the presence of notable and unique features inherent to strongly coupled topological semimetals, including band-crossing ordering interchange and multi Fermi surfaces, which provide a valuable platform for experimental investigations of strongly coupled semimetals in condensed matter physics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_15574 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological invariant for holographic Weyl-Nodal line coexisting semimetal Chen, Xiantong Ji, Xuanting Sun, Ya-Wen High Energy Physics - Theory The presence of a topological phase in a topological many-body system can be distinguished through the analysis of topological invariants. In the present study, the topological invariants for the strongly coupled holographic semimetals have been systematically computed, especially focusing on the holographic Weyl-Nodal line coexisting semimetal. The topological invariants that we calculate include the Weyl charge, the topological charges for a nodal ring $ζ_0$, $ζ_1$, $ζ_2$ and an additional mirror symmetry protected topological invariant, $\widetildeζ_{2}$, that we herein introduce. In addition, the effective band structures and topological invariants in the critical phases of holographic semimetals are investigated, including the case of Weyl, nodal line and Weyl-Nodal line coexisting semimetals. The findings indicate the presence of notable and unique features inherent to strongly coupled topological semimetals, including band-crossing ordering interchange and multi Fermi surfaces, which provide a valuable platform for experimental investigations of strongly coupled semimetals in condensed matter physics. |
| title | Topological invariant for holographic Weyl-Nodal line coexisting semimetal |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.15574 |