Generalized Superconductors and Holographic Optics - II

TL;DR

This paper investigates the optical response of generalized holographic superconductors in four-dimensional black hole backgrounds, revealing negative Depine-Lakhtakia indices at low frequencies and analyzing parameter dependencies.

Contribution

It extends previous probe limit studies by including backreaction effects and numerically analyzing optical responses in 4D holographic superconductor models.

Findings

Negative Depine-Lakhtakia index at low frequencies

Response functions depend on backreaction and model parameters

Completes the analysis of holographic superconductors beyond probe limit

Abstract

Using linear response theory, we analyze optical response properties of generalized holographic superconductors, in AdS-Schwarzschild and single R-charged black hole backgrounds in four dimensions. By introducing momentum dependent vector mode perturbations, the response functions for these systems are studied numerically, including the effects of backreaction. This complements and completes the probe limit analysis for these backgrounds initiated in our previous work ({\tt arXiv : 1305.6273}). Our numerical analysis indicates a negative Depine-Lakhtakia index for both the backgrounds studied, at low enough frequencies. The dependence of the response functions on the backreaction parameter and the model parameters are established and analyzed with respect to similar backgrounds in five dimensions.