Year: 2025
Type: article
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 [Formula: see text] 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.
Source: Scientific Reports
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,690
OpenAlex ID: W4409629895