Holographic $s$-wave condensation and Meissner-like effect in Gauss-Bonnet gravity with various non-linear corrections

Abstract

In this paper we have studied the onset of holographic s-wave condensate in the (4 + 1) dimensional planar Gauss-Bonnet-AdS black hole background with several non-linear corrections to the gauge field. In the probe limit, performing explicit analytic computations, with and without magnetic field, we found that these higher order corrections indeed affect various quantities characterising the holographic superconductors. Also, performing a comparative study of the two non-linear electrodynamics it has been shown that the exponential electrodynamics has stronger effects on the formation of the scalar hair. We observe that our results agree well with those obtained numerically [Z. Zhao et. al., Nucl. Phys. B 871 [FS] (2013) 98].

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

“…Considering the fact that the nonlinear parameter b is small, and following [29,30], we can write the above relation as…”

“…Using the matching method in the probe limit, some properties of holographic superconductor in Gauss-Bonnet gravity with Born-Infeld electrodynamics and in the presence of a critical magnetic field were investigated in [28]. Performing explicit analytic computations, with and without magnetic field, the effects of higher order corrections to gravity as well as gauge field on the holographic s-wave condensation and Meissner-like effect have been explored in [29,30]. In recent years, other types of nonlinear electrodynamics in the context of gravitational field have also been introduced, which can also remove the divergence of the electric field at the origin, similar to Born-Infeld nonlinear electrodynamics.…”

Magnetic response of holographic Lifshitz superconductors: Vortex and Droplet solutions

“…The studies of these holographic models of superconductor have been extended by including several higher derivative corrections to the usual Einstein gravity as well as in the Maxwell gauge sector (see Ref. [25] and references therein). Along with this the response of the holographic superconductors in external magnetic fields has also been studied [25]- [38].…”

Holographic superconductors in Born–Infeld electrodynamics and external magnetic field

“…They exhibit perfect diamagnetism as the temperature is lowered below T c in the presence of an external magnetic field and the phenomenon is known as Meissner effect [12]. Till date a number of numerical studies have been made to study the effects of external magnetic field on holographic superconductors [13]- [15] but relatively small number of analytical invetigations have been made [16]- [18]. Further, the analyses (both in the presence and absence of external magnetic field) are carried out mostly in the framework of Maxwell electrodynamics [19]- [30].…”