Refractive index in generalized superconductors with Born–Infeld electrodynamics

Abstract

We investigate, in the probe limit, the negative refraction in the generalized superconductors with the BornInfeld electrodynamics. We observe that the system has a negative Depine-Lakhtakia index in the superconducting phase at small frequencies and the greater the Born-Infeld corrections the larger the range of frequencies or the range of temperatures for which the negative refraction occurs. Furthermore, we find that the tunable Born-Infeld parameter can be used to improve the propagation of light in the holographic setup. Our analysis indicates that the Born-Infeld electrodynamics plays an important role in determining the optical properties of the boundary theory.

Holographic p-wave superconductor with $$C^2F^2$$ correction

“…Meanwhile, we find that the effect of the C 2 F 2 correction on the superconductor phase transition is similar to the one of the Weyl correction(C F 2 ) on the superconductor model in Ref. [67] but in contrast to the influence of the pure high curvature correction [33][34][35][36] or the nonlinear electrodynamics [33,34,[37][38][39] on the superconductor model.…”

“…On the other hand, in order to understand the influences of the 1 λ (λ is the 't Hooft coupling) corrections on the holographic superconductor models, many works took into account the high curvature correction [33][34][35][36] and nonlinear electrodynamics [36], such as the Born-Infeld term [21,37,38], the Power-Maxwell term [33,34], Logarithmic term [39] and exponential term [40]. The results showed that both high curvature correction and nonlinear electrodynamics parameters hinder the conductor/superconductor phase transition.…”

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

“…It is interesting to note that Mahapatra et al [23] constructed the generalized holographic superconductors via the Stückelberg mechanism [24][25][26] in the four dimensional R-charged black hole and observed that the superconducting phase can exhibit a negative Depine-Lakhtakia (DL) index [27] at low frequencies and below a cut-off value of the charge parameter even in the probe limit. Extending the investigation to the generalized superconductors with Born-Infeld electrodynamics, Cheng et al found that the system has a negative DL index in the superconducting phase at small frequencies and the greater the Born-Infeld corrections the larger the range of frequencies or the range of temperatures for which the negative refraction occurs [28]. The refractive index in the holographic dual models can also be found, for example, in Refs.…”

“…In order to compare with the results given in Refs. [23,28], we will concentrate on the cases for the model parameters ξ = 0.2 and ξ = 0.5 in our discussion. For the convenience of numerics, we will set c 1 = r h and c 2 = −r 2 h /2, and choose the range of graviton mass parameters 0 ≤ m ≤ 1.2, just as in [11].…”

Spontaneous excitation of an accelerated atom coupled with quantum fluctuations of spacetime

“…Another effect expected is the Casimir-like force which arises from the quadrupole moments induced by quantum gravitational vacuum fluctuations [6][7][8][9][10][11][12][13], in close analogy to the Casimir and the Casimir-Polder forces [14,15]. Furthermore, quantum fluctuations of spacetime may serve as an environment that provides indirect interactions between the two independent gravitationally polarizable subsystems, which may lead to entanglement generation [16].…”