论文标题
4D爱因斯坦 - 高斯 - 骨网中的全息超导体
Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity
论文作者
论文摘要
我们研究了[K. Aoki，M.A。Gorji和S. Mukohyama，物理。 Lett。 b {\ bf 810}，135843（2020）]并构造（$ 2+1 $）的重力双二维超导体，并在探针限制中具有高斯 - 骨网校正。我们发现，曲率校正对S-WAVE超导体（$ 2+1 $） - 尺寸的标量凝结物具有更微妙的影响，这与较高级别曲率校正的较高级别超导体中的发现不同，这使得标量头发在完整的参数空间中更难开发。但是，在P波的情况下，我们观察到较高的曲率校正总是使矢量冷凝物在各个维度上形成更困难。此外，我们注意到，较高的曲率校正会导致与间隙频率$ω_g/t_c \ y 8 $（$ 2+1 $） - 维度S-WAVE和P-WAVE模型的期望关系更大。
We investigate the neutral AdS black-hole solution in the consistent $D\rightarrow4$ Einstein-Gauss-Bonnet gravity proposed in [K. Aoki, M.A. Gorji, and S. Mukohyama, Phys. Lett. B {\bf 810}, 135843 (2020)] and construct the gravity duals of ($2+1$)-dimensional superconductors with Gauss-Bonnet corrections in the probe limit. We find that the curvature correction has a more subtle effect on the scalar condensates in the s-wave superconductor in ($2+1$)-dimensions, which is different from the finding in the higher-dimensional superconductors that the higher curvature correction makes the scalar hair more difficult to be developed in the full parameter space. However, in the p-wave case, we observe that the higher curvature correction always makes it harder for the vector condensates to form in various dimensions. Moreover, we note that the higher curvature correction results in the larger deviation from the expected relation in the gap frequency $ω_g/T_c\approx 8$ in both ($2+1$)-dimensional s-wave and p-wave models.
