Generalized Holographic Superconductors with Higher Derivative Couplings
arXiv:1404.2190 · doi:10.1007/JHEP06(2014)147
Abstract
We introduce and study generalized holographic superconductors with higher derivative couplings between the field strength tensor and a complex scalar field, in four dimensional AdS black hole backgrounds. We study this theory in the probe limit, as well as with backreaction. There are multiple tuning parameters in the theory, and with two non-zero parameters, we show that the theory has a rich phase structure, and in particular, the transition from the normal to the superconducting phase can be tuned to be of first order or of second order within a window of one of these. This is established numerically as well as by computing the free energy of the boundary theory. We further present analytical results for the critical temperature of the model, and compare these with numerical analysis. Optical properties of this system are also studied numerically in the probe limit, and our results show evidence for negative refraction at low frequencies.
arXiv comment1 + 27 pages, LaTeX, 24 .eps figures. References added, typos fixed, discussion on optical properties expanded. Version accepted in JHEP
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- Analytical and Numerical Study of Gauss-Bonnet Holographic Superconductors with Power-Maxwell Field
- Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections
- Very General Holographic Superconductors and Entanglement Thermodynamics
- Four-dimensional black holes with scalar hair in nonlinear electrodynamics
- Electromagnetic response of strongly coupled plasmas
- Refractive index in generalized superconductors with Born-Infeld electrodynamics
- Generalized Superconductors and Holographic Optics - II
- Analysis of s-wave, p-wave and d-wave holographic superconductors in Hořava-Lifshitz gravity
- Generalized superconductors from the coupling of a scalar field to the Einstein tensor and their refractive index in massive gravity
- Analytical study of the holographic superconductor from higher derivative theory
- Phase transitions in four-dimensional AdS black holes with a nonlinear electrodynamics source