Collective Modes in Weyl Superconductors and the Axial Anomaly

2025/05/18 by Z-Abyaneh, Mehran
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Superconductivity (cond-mat.supr-con)

paper · doi:10.48550/arxiv.2505.12498

Abstract

We write the Lagrangian of a time-reversal symmetry broken three dimensional Weyl superconductor in a covariant form. Then, based on an analogy with the Nambu Jona-Lasinio model and by employing the Fierz transformations, we demonstrate that new collective modes should exist in such a system, including a pseudo-scalar Nambu-Goldstone boson and its corresponding amplitude mode plus a vector and an axial-vector collective mode. It is also observed that the pseudo-scalar mode can become massive due to an explicit chiral symmetry breaking term in the Lagrangian. Analogous to pions in low-energy QCD, such a massive pseudo-scalar mode can decay via the axial anomaly.

Citations

• Probing dynamical axion quasiparticles with two-photon correlations
• Axion electrodynamics of Weyl superconductors with broken time-reversal symmetry
• Symmetries of Weyl Superconductors with Different Pairings
• A derivation of the first generation particle masses from internal spacetime
• Axion-like Quasiparticles and Topological States of Matter: Finite Density Corrections of the Chiral Anomaly Vertex
• An introduction to chiral perturbation theory

Related

• Symmetries of Weyl Superconductors with Different Pairings
• Collective modes in an unconventional superconductor with j=3/2 fermions
• Collective mode spectroscopy in time-reversal symmetry breaking superconductors
• Torsional Anomalies and Bulk-Dislocation Correspondence in Weyl Systems
• Collective modes in singlet superconductors