Abstract
In this paper, we investigate the effects of nonlinear exponential electrodynamics as well as backreaction on the properties of one-dimensional s-wave holographic superconductors. We continue our study both analytically and numerically. In analytical study, we employ the Sturm–Liouville method while in numerical approach we perform the shooting method. We obtain a relation between the critical temperature and chemical potential analytically. Our results show a good agreement between analytical and numerical methods. We observe that the increase in the strength of both nonlinearity and backreaction parameters causes the formation of condensation in the black hole background harder and critical temperature lower. These results are consistent with those obtained for two dimensional s-wave holographic superconductors.
Highlights
BTZ black holes play a significant role in many of recent developments in string theory [17,18,19]
This paper is organized as follows: In section, we introduce the action and basic field equations governing (1 + 1)-dimensional holographic superconductors in the presence of exponential electrodynamics
L (F) stands for the Lagrangian of electrodynamics model. (1 + 1)-dimensional holographic superconductors in the presence of linear Maxwell electrodynamics presented by L (F) = −F/4 have been studied in [21,62]
Summary
BTZ black holes play a significant role in many of recent developments in string theory [17,18,19]. Considering the effects of backreaction, the properties of one-dimensional holographic superconductors have been studied both numerically [21,22] and analytically [23,24]. 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]. We will study the one-dimensional holographic superconductors both analytically and numerically in the presence of exponential electrodynamics. We will study the effects of nonlinear exponential electrodynamics model as well as backreaction on critical temperature.
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