论文标题
大量重力对$ S $ - 波全息超导体的影响
Effects of massive gravity on $s$-wave holographic superconductor
论文作者
论文摘要
使用Sturm-liouville特征值法进行了对探针极限进行大量重力理论的背景下$ S $ - 波全息超导体的性质的分析研究。我们获得了临界温度和电荷密度之间关系的分析表达。我们还获得了凝结算子的表达式和关键指数的值。我们的发现表明，随着我们增加大量重力耦合，临界温度升高，冷凝水减少。更确切地说，我们观察到，与爱因斯坦重力中的超导体相比，如果我们继续增加耦合常数，那么与爱因斯坦重力的超导体相比，大量重力的存在会增加临界温度。我们还通过分析求解电磁扰动的波方程来获得电导率的频率依赖性。从电导率的实际部分，我们最终估算了能带隙。
Analytical investigation of the properties of $s$-wave holographic superconductors in the background of a massive gravity theory in the probe limit has been carried out employing the Sturm-Liouville eigenvalue method . We obtain the analytical expression for the relation between the critical temperature and the charge density. We also obtain the expression for the condensation operator and value of the critical exponent. Our findings show that as we increase the massive gravity couplings the critical temperature increases and the condensate decreases. More precisely we observe that the presence of massive graviton increases the critical temperature compared to the superconductors in Einstein gravity at some point if we keep on increasing the coupling constants. We also obtain the frequency dependence of conductivity by solving analytically the wave equation for electromagnetic perturbations. From the real part of the conductivity, we finally estimate the energy band gap.
