标题： 探索使用类时超导体的紫外线和红外线的类型-II全息超导体 显示英文标题

标题： Exploring the UV and IR of a type-II holographic superconductor using a dyonic black hole

摘要： 在本研究中，我们调查了一种带有微扰标量场的类型-II全息超导体，在(3 + 1)维电荷和磁荷平面AdS黑洞背景下。 在一致地将标量场部分从完整的Einstein-Maxwell-Scalar系统中解耦后，我们深入研究了背景的热力学性质，这对于超导态的Ginzburg-Landau密度的对偶描述是相关的。 采用伦敦规范使我们能够将磁场视为均匀的外部场，全息超导体受其作用。 这种考虑使得能够一致地描述典型存在于类型-II超导体中的Abrikosov涡旋晶格的出现。 因此，通过匹配标量场的近视界和边界展开，我们在规范系综和大规范系综中得到了上限磁场作为温度函数的表达式。 这些新结果证实了我们的微扰标量场模型一致地再现了根据Ginzburg-Landau理论和其他阿贝尔-希格斯全息发展对于类型-II超导体的上限磁场已知的温度行为。 此外，通过对标量场方程以薛定谔势的形式进行新的分析，我们观察到沿着全息坐标分布的势阱的存在。 我们将具有局部最小值的这些区域解释为可以存在束缚态的区域，对应于库珀对密度。 这些结果为极端性附近存在红外序参数提供了证据。 鉴于此，我们对红外有效标量方程进行了更仔细的检查，在该方程中几何结构采用了Schwarzschild AdS$_{2}\times \mathbb{R}^{2}$结构。 显示英文摘要

摘要： In this study, we investigate a type-II holographic superconductor with a perturbative scalar field over a (3 + 1)-dimensional electric and magnetically charged planar AdS black hole. After consistently decoupling the scalar field sector from the complete Einstein-Maxwell-Scalar system, we delve into the thermodynamical properties of the background relevant for the dual description of the Ginzburg-Landau density of superconducting states. The adoption of a London gauge allowed us to consider the magnetic field as a uniform external field over which the holographic superconductor is subject. This consideration enables a consistent description of the appearance of Abrikosov vortex lattices typical in type-II superconductors. Thus, by matching near horizon and boundary expansions of the scalar field, we obtained an expression for the upper critical magnetic field as a function of temperature in both, the canonical and grand canonical ensemble. These novel results confirm that our perturbative scalar field model consistently reproduces the well-known temperature behavior of the upper critical magnetic field according to the Ginzburg-Landau theory and other Abelian-Higgs holographic developments for type-II superconductors. In addition, a new analysis of the scalar field equation in terms of a Schr\"odinger potential led us to observe the existence of potential wells distributed along the holographic coordinate. We interpret these regions with a local minimum as those in which bound states can exist, dual to the Cooper pairs density. These results provide evidence for the existence of an IR order parameter near the extremality. In view of this, we performed a closer inspection of the IR effective scalar equation in which the geometry adopts a Schwarzschild AdS$_{2}\times \mathbb{R}^{2}$ structure.