In this paper we have analytically investigated holographic superconductors in four dimensional Einstein-Gauss-Bonnet gravity background. Recently the novel four dimensional Einstein-Gauss-Bonnet gravity has been formulated by rescaling the Gauss-Bonnet coupling constant $\alpha \to \frac{\alpha }{d-4}$ and taking the limit $d\to 4$, and this predicts several interesting new features. To know the effect of the curvature correction on the $(2+1)$-dimensional holographic superconductors, we have considered $(3+1)$-dimensional Einstein-Gauss-Bonnet gravity. Using the Sturm-Liouville eigenvalue approach, the critical temperature and the condensation operator values has been investigated in this framework away from the probe limit. We reproduce the numerical results from our analytical investigation.

在本文中，我们分析研究了四维爱因斯坦-高斯-博内引力背景下的全息超导体。最近，新的四维爱因斯坦-高斯-博内引力已经通过重新调整高斯-博内耦合常数得到了公式化$\alpha \to \frac{\alpha }{d-4}$ 并采取极限 $d\to 4$，这预测了几个有趣的新功能。了解曲率校正对$(2+1)$维全息超导体，我们已经考虑过 $(3+1)$维爱因斯坦-高斯-博内引力。使用 Sturm-Liouville 特征值方法，已在此框架中远离探针限制研究了临界温度和冷凝算子值。我们从我们的分析研究中重现了数值结果。