标题： 全息s+p超导体中轴子诱导的平移对称性破缺 显示英文标题

标题： Holographic s+p superconductors with axion induced translation symmetry breaking

摘要： 我们构建了一个全息模型，用于研究在规范/引力对偶框架内由轴子引起的平移对称性破缺的s+p超导体，在探测器极限下进行研究。 运动方程被数值求解，以研究参数$k/T$对s波和p波序之间竞争与共存的影响。 我们发现增加$k/T$会抑制单凝聚s波和p波解的热力学稳定性。 通过$k-\mu$相图和凝聚曲线，我们看到由单凝聚p波相主导的区域随着$k/T$的增加而逐渐减少，最终在大$k/T$区域仅留下单凝聚s波相，这由展示s波解的热力学稳定性比p波解下降更慢的广义势曲线来解释。 此外，为了稳定s+p共存相，需要更大的电荷最小比$q_p/q_s$，当$k/T$增加时，我们确定了这个临界比与$k/T$的精确依赖关系。 最后，我们对光学电导率的研究表明，能隙频率随着$k/T$的增加而增加。 在能隙频率与$k/T$的依赖关系中，识别出一个与s+p共存相相关的特征拐点，这可能作为检测多凝聚体超导性的潜在实验标志。 显示英文摘要

摘要： 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 $k-\mu$ 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 $q_p/q_s$ 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.