Symmetries of Weyl Superconductors with Different Pairings
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arXiv
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| Format: | Preprint |
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2025
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| author | Z-Abyaneh, Mehran Farhoudi, Mehrdad Mashkoori, Mahdi |
| author_facet | Z-Abyaneh, Mehran Farhoudi, Mehrdad Mashkoori, Mahdi |
| contents | We examine the Bogoliubov-de Gennes Hamiltonian and its symmetries for a time-reversal symmetry broken three dimensional Weyl superconductor. In the limit of vanishing pairing potential, we specify that this Hamiltonian is invariant under two sets of continues symmetries, i.e. the $U(1)$ gauge symmetry and the $U(1)_A$ axial symmetry. Although a pairing of the Bardeen-Cooper-Schrieffer type spontaneously breaks both of these symmetries, we show that a Fulde-Ferrell-Larkin-Ovchinnikov type pairing spontaneously breaks only the $U(1)$ gauge symmetry (that is then restored via the well-known scalar phase mode of superconductivity). Consequently, in the former case, two Nambu-Goldstone modes are required in the system to restore the broken symmetries. We indicate that one of these two modes is an emergent pseudo-scalar phase mode. We also demonstrate that such a phase mode leads to a pseudo-Meissner effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18573 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetries of Weyl Superconductors with Different Pairings Z-Abyaneh, Mehran Farhoudi, Mehrdad Mashkoori, Mahdi High Energy Physics - Theory Superconductivity We examine the Bogoliubov-de Gennes Hamiltonian and its symmetries for a time-reversal symmetry broken three dimensional Weyl superconductor. In the limit of vanishing pairing potential, we specify that this Hamiltonian is invariant under two sets of continues symmetries, i.e. the $U(1)$ gauge symmetry and the $U(1)_A$ axial symmetry. Although a pairing of the Bardeen-Cooper-Schrieffer type spontaneously breaks both of these symmetries, we show that a Fulde-Ferrell-Larkin-Ovchinnikov type pairing spontaneously breaks only the $U(1)$ gauge symmetry (that is then restored via the well-known scalar phase mode of superconductivity). Consequently, in the former case, two Nambu-Goldstone modes are required in the system to restore the broken symmetries. We indicate that one of these two modes is an emergent pseudo-scalar phase mode. We also demonstrate that such a phase mode leads to a pseudo-Meissner effect. |
| title | Symmetries of Weyl Superconductors with Different Pairings |
| topic | High Energy Physics - Theory Superconductivity |
| url | https://arxiv.org/abs/2501.18573 |