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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2408.00202 |
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| _version_ | 1866912528714432512 |
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| author | Huang, Yingyi |
| author_facet | Huang, Yingyi |
| contents | In contrast to conventional Weyl semimetals in achiral crystals, chiral topological semimetals in chiral crystals exhibit Weyl nodes at time-reversal-invariant momenta. A Fermi surface spin texture with parallel spin-momentum locking in these material has been observed by a recent experiment [Nat. Comm. 15,3720(2024)]. We find that the Weyl nodes location and the Fermi surface spin texture lead to gapped zero-momenta intranode superconductivity (SC), which is absent in achiral Weyl semimetals. Through self-consistent mean-field calculations, we find that a cubic lattice system in general favors a mixture of spin-singlet $s_\pm$ and $d+id$-wave pairings. In the presence of only the $s_\pm$-wave pairing, we identify a first-order time-reversal invariant topological SC phase. Notably, an SC phase with two Majorana cones for opened Fermi surfaces is energetically favorable. In addition, a second-order topological superconductor with chiral Majorana states can be realized in the presence of a mixture of $s\pm$- and $d+id$-wave pairing. We show that chiral topological semimetals in cubic lattice are fascinating platforms for exploring intrinsic unconventional superconductivity and topological superconductivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00202 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological superconductivity in superconducting chiral topological semimetals with parallel spin-momentum locking Huang, Yingyi Superconductivity In contrast to conventional Weyl semimetals in achiral crystals, chiral topological semimetals in chiral crystals exhibit Weyl nodes at time-reversal-invariant momenta. A Fermi surface spin texture with parallel spin-momentum locking in these material has been observed by a recent experiment [Nat. Comm. 15,3720(2024)]. We find that the Weyl nodes location and the Fermi surface spin texture lead to gapped zero-momenta intranode superconductivity (SC), which is absent in achiral Weyl semimetals. Through self-consistent mean-field calculations, we find that a cubic lattice system in general favors a mixture of spin-singlet $s_\pm$ and $d+id$-wave pairings. In the presence of only the $s_\pm$-wave pairing, we identify a first-order time-reversal invariant topological SC phase. Notably, an SC phase with two Majorana cones for opened Fermi surfaces is energetically favorable. In addition, a second-order topological superconductor with chiral Majorana states can be realized in the presence of a mixture of $s\pm$- and $d+id$-wave pairing. We show that chiral topological semimetals in cubic lattice are fascinating platforms for exploring intrinsic unconventional superconductivity and topological superconductivity. |
| title | Topological superconductivity in superconducting chiral topological semimetals with parallel spin-momentum locking |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2408.00202 |