Holographic Superconductors in a Non-minimally Coupled Einstein-Maxwell-scalar Model

Abstract

In this paper, we investigate holographic superconductors dual to asymptotically anti-de Sitter black holes in an Einstein-Maxwell-scalar model with a non-minimal coupling between the scalar and Maxwell fields. In the probe limit, it shows that the scalar condensate occurs below the critical temperature $T_c$, and decreases with the increase of the coupling constant $\alpha$. On the other hand, the the critical temperature $T_c$ increases as the coupling constant $\alpha$ grows. We also calculate the optical conductivity of the holographic superconductor, and observe that a gap forms below $T_c$. Interestingly, the non-minimal coupling can lead to a spike occurring in the gap at a low temperature.

11 pages, 5 figures, 1 table

References in corpus (13)

• Building an AdS/CFT superconductor
• Holographic Superconductors with Various Condensates
• Spontaneously scalarised Kerr black holes
• Superconductivity from gauge/gravity duality with flavor
• Photon Ring and Observational Appearance of a Hairy Black Hole
• Photon Spheres and Spherical Accretion Image of a Hairy Black Hole
• Quasinormal modes of scalarized black holes in the Einstein-Maxwell-Scalar theory
• Black hole spontaneous scalarisation with a positive cosmological constant
• Onset of rotating scalarized black holes in Einstein-Chern-Simons-Scalar theory
• Scalarized black holes in the Einstein-Maxwell-scalar theory with a quasi-topological term
• Radial perturbations of the scalarized black holes in Einstein-Maxwell-conformally coupled scalar theory
• Reissner-Nordström black holes supporting non-minimally coupled massive scalar field configurations
• Thermodynamics and Phase Structure of an Einstein-Maxwell-scalar Model in Extended Phase Space