One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics

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.

8 pages (two columns), 2 figures (each including 2 subfigures), 3 tables

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• Conductivity of the one-dimensional holographic p-wave superconductors in the presence of nonlinear electrodynamics
• Meissner-like effect and conductivity of power-Maxwell holographic superconductors
• Backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor
• Three dimensional charged black holes in Gauss-Bonnet gravity
• Noncommutative $p$-wave holographic superconductors
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