Generalized superconductors from the coupling of a scalar field to the Einstein tensor and their refractive index in massive gravity

Abstract

We construct the generalized superconductors from the coupling of a scalar field to the Einstein tensor in the massive gravity and investigate their negative refraction in the probe limit. We observe that the larger graviton mass and Einstein tensor coupling parameters both hinder the formation of the condensation, but the larger graviton mass or smaller coupling parameter makes it easier for the emergence of the Cave of Winds. Furthermore, we see that the larger graviton mass but smaller coupling parameter make the range of frequencies or the range of temperatures larger for which a negative Depine-Lakhtakia index occurs, which indicates that the graviton mass and Einstein tensor have completely different effects on the negative refraction. In addition, we find that the larger graviton mass and coupling parameters both can reduce the dissipation and improve the propagation in the holographic setup.

20 pages, 12 figures

References in corpus (18)

• Building an AdS/CFT superconductor
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Lectures on Holographic Superfluidity and Superconductivity
• Thermodynamics of Black Holes in Massive Gravity
• The Physics and Applications of Superconducting Metamaterials
• Progress in Superconducting Metamaterials
• The Many Phases of Holographic Superfluids
• Building a Holographic Superconductor with a Scalar Field Coupled Kinematically to Einstein Tensor
• Lifshitz effects on holographic $p$-wave superfluid
• Hydrodynamics of RN AdS${}_4$ black hole and Holographic Optics
• A holographic p-wave superfluid
• Holographic Optics and Negative Refractive Index
• Refractive index in holographic superconductors
• Generalized Holographic Superconductors with Higher Derivative Couplings
• Electromagnetic response of strongly coupled plasmas
• Holographic p-wave superfluid in Gauss-Bonnet gravity
• Generalized Superconductors and Holographic Optics - II
• Backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor

Cited by in corpus (1)

• Holographic p-wave superfluid in the AdS soliton background with $R{F}^2$ corrections