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arXiv 2109.02207hep-thgr-qc
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四维Einstein-Gauss-Bonnet引力下的全息超导体

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions

Jie Pan, Xiongying Qiao, Dong Wang, Qiyuan Pan, Zhang-Yu Nie, Jiliang Jing

摘要:

我们在一致的$D\rightarrow4$ Einstein-Gauss-Bonnet引力下构造了远离探测极限的全息超导体。我们观察到,无论是对基态和激发态,临界温度的第一次降低,然后增加的曲率修正趋于陈-西蒙斯限制在一个backreaction依赖的方式。然而,反作用的减小、标量质量的增加或节点数目的增加将削弱曲率校正的这种微妙效果。此外,当曲率修正接近Chern-Simons极限时,我们发现电导率的带隙频率$ω_g/T_c$随反反应的增加先减小后增大,这与在($3+1$)维超导体中发现的在全参数空间中反反应的增加会使$ω_g/T_c$增大不同. Gauss-Bonnet引力和逆反应的结合提供了($2+1$)维超导体中标量凝聚体和导电性的更丰富的物理。

英文摘要:

We construct the holographic superconductors away from the probe limit in the consistent $D\rightarrow4$ Einstein-Gauss-Bonnet gravity. We observe that, both for the ground state and excited states, the critical temperature first decreases then increases as the curvature correction tends towards the Chern-Simons limit in a backreaction dependent fashion. However, the decrease of the backreaction, the increase of the scalar mass, or the increase of the number of nodes will weaken this subtle effect of the curvature correction. Moreover, for the curvature correction approaching the Chern-Simons limit, we find that the gap frequency $ω_g/T_c$ of the conductivity decreases first and then increases when the backreaction increases in a scalar mass dependent fashion, which is different from the finding in the ($3+1$)-dimensional superconductors that increasing backreaction increases $ω_g/T_c$ in the full parameter space. The combination of the Gauss-Bonnet gravity and backreaction provides richer physics in the scalar condensates and conductivity in the ($2+1$)-dimensional superconductors.

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