标题： 关于通过非线性Maxwell场的规范/引力对偶的超导体更多研究 显示英文标题

标题： More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field

摘要： 我们利用探针极限，研究了非线性Maxwell场强度与无质量标量场耦合的全息超导体中的二阶相变的近期研究。 通过解析方法，基于变分Sturm-Liouville最小化技术，我们研究了时空维度和非线性参数对边界上对偶算符临界温度和标量凝聚的影响。 进一步地，作为一项有意义的结果，我们在低温度和零温度区域解析地推导出直流电导率。 特别是在零温度极限下以及二维玩具模型中，我们完全解析计算了电导率。 我们的工作阐明了全息超导体在不同空间维度以及Maxwell场强度非线性效应方面的更多特征。 显示英文摘要

摘要： We have developed the recent investigations on the second-order phase transition in the holographic superconductor using the probe limit for a nonlinear Maxwell field strength coupled to a massless scalar field. By analytic methods, based on the variational Sturm- Liouville minimization technique, we study the effects of the space-time dimension and the non-linearity parameter on the critical temperature and the scalar condensation of the dual operators on the boundary. Further, as a motivated result, we analytically deduce the DC conductivity in the low and zero temperatures regime. Especially in the zero temperature limit and in two dimensional toy model, we thoroughly compute the conductivity analytically. Our work clarifies more features of the holographic superconductors both in different space dimensions and on the effect of the non-linearity in Maxwell's strength field.