Optical properties of Born-Infeld-dilaton-Lifshitz holographic superconductors

Abstract

In this paper, we first study the Lifshitz-dilaton holographic superconductors with nonlinear Born-Infeld (BI) gauge field and obtain the critical temperature of the system for different values of Lifshitz dynamical exponent, $z$, and nonlinear parameter $b$. We find that for fixed value of $b$, the critical temperature decreases with increasing $z$. This indicates that the increase of anisotropy between space and time prevents the phase transition. Also, for fixed value of $z$, the critical temperature decrease with increasing $b$. Then, we investigate the optical properties of ($2+1$) and ($3+1$)-dimensional BI-Lifshitz holographic superconductors in the the presence of dilaton field. We explore the refractive index of the system. For $z=1$ and $(2+1)$-dimensional holographic superconductor, we observe negative real part for permittivity $\text{Re}[\epsilon ]$ as frequency $\omega$ decreases. Thus, in low frequency region our superconductor exhibit metamaterial property. This behaviour is independent of the nonlinear parameter and can be seen for either linear ($b=0$) and nonlinear ($b\ne 0$) electrodynamics. Interestingly, for ($3+1$)-dimensional Lifshitz-dilaton holographic superconductors, we observe metamaterial behavior neither in the presence of linear nor nonlinear electrodynamics.

11 pages, 9 figures (including subfigures), some references added in V2

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Cited by in corpus (4)

• Conductivity of higher dimensional holographic superconductors with nonlinear electrodynamics
• One-dimensional backreacting holographic p-wave superconductors
• Generalized superconductors from the coupling of a scalar field to the Einstein tensor and their refractive index in massive gravity
• Holographic Superconductors: An Analytic Method Revisit