Exponential nonlinear electrodynamics and backreaction effects on holographic superconductor in the Lifshitz black hole background

Abstract

We analytically describe the properties of the s-wave holographic superconductor with the Exponential nonlinear electrodynamics in the Lifshitz black hole background in four-dimensions. Employing an assumption the scalar and gauge fields backreact on the background geometry, we calculate the critical temperature as well as the condensation operator. Based on Sturm-Liouville method, we show that the critical temperature decreases with increasing exponential nonlinear electrodynamics and Lifshitz dynamical exponent, z, indicating that condensation becomes difficult. Also we find that the effects of backreaction has a more important role on the critical temperature and condensation operator in small values of Lifshitz dynamical exponent, while z is around one. In addition, the properties of the upper critical magnetic field in Lifshitz black hole background using Sturm-Liouville approach is investigated to describe the phase diagram of the corresponding holographic superconductor in the prob limit. We observe that the critical magnetic field decreases with increasing Lifshitz dynamical exponent, z, and it goes to zero at critical temperature, independent of the Lifshitz dynamical exponent, z.

Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics

“…Much research was carried out in Lifshitz scaling by using the holographic approach (see e.g. [59][60][61][62]). However, all the previous work about the effects of Lifshitz scaling on holographic p-wave superconductor was done by considering a SU(2) Yang-Mills gauge field in the bulk in the presence of Maxwell electrodynamics [56,59].…”

Unbalanced Stückelberg holographic superconductors with backreaction

“…This holographic model undergoes a phase transition from a black hole with no hair to a black hole with scalar hair at low temperatures [8,9]. There exist several studies on holographic superconductors to describe their different aspects [10][11][12][13][14][15][16][17][18][19]. One of the most interesting phenomena in superconductor research is the second order phase transitions in Abelian-Higgs models [9].…”

One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics

“…It is interesting to investigate the effect of nonlinear electrodynamic models on holographic systems including holographic superconductors [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. Nonlinear models carry more information than the usual Maxwell case and * Electronic address: mkzangeneh@scu.ac.ir † Electronic address: asheykhi@shirazu.ac.ir also are considered as a possible way for avoiding the singularity of the point-like charged particle at the origin [45][46][47][48][49].…”

“…The oldest nonlinear electrodynamic model is Born-Infeld (BI) model. There are also two BI-like nonlinear electrodynamics namely logarithmic [33,50,51] and exponential [40,52,53] electrodynamics. It has been found that the exponential electrodynamics has stronger effect on the condensation than other models [54].…”