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Holographic s+p superconductors with axion induced translation symmetry breaking

2025/10/02 by Chen, Ru-Qing, Zeng, Hui, Nie, Zhang-Yu +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2510.01922

Abstract

We construct a holographic model for an s+p superconductor with axion-induced translation symmetry breaking within the framework of gauge/gravity duality, working in the probe limit. The equations of motion are solved numerically to investigate the influence of the parameter k/T on the competition and coexistence between the s-wave and p-wave orders. We find that increasing k/T suppresses the thermodynamic stability of both the single condensate s-wave and p-wave solutions. With the k-μ phase diagram and the condensate curves, we see that the region dominated by the single condensate p-wave phase gradually decreases with the increasing of k/T, finally leaving only the single condensate s-wave phase in the large k/T region, which is explained by the grand potential curves showing a slower decreasing of the thermodynamic stability for the s-wave solution than that for the p-wave solution. Furthermore, a larger minimum ratio of the charges qp/qs is required to stabilize the s+p coexistent phase as k/T increases, and we determine the precise dependence of this critical ratio on k/T. Finally, our study of the optical conductivity reveals that the gap frequency increases with k/T. A characteristic kink, associated with the s+p coexistent phase, is identified in the dependence of gap frenquency on k/T, which could serve as a potential experimental signature for detecting multi-condensate superconductivity.

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