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arXiv · 2501.18573

Symmetries of Weyl Superconductors with Different Pairings

Mehran Z-Abyaneh·Mehrdad Farhoudi·Mahdi Mashkoori
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Abstract

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.

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Mehran Z-Abyaneh, Mehrdad Farhoudi, Mahdi Mashkoori. 2025-01-30. Symmetries of Weyl Superconductors with Different Pairings. https://doi.org/10.1038/s41598-025-88502-6

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