Eur. Phys. J. C (2018) 78: 381
https://doi.org/10.1140/epjc/s10052-018-5871-4

Regular Article - Theoretical Physics

One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics

¹ Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran
² Physics Department, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz, 61357-43135, Iran
³ Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P. O. Box: 55134-441, Maragha, Iran

^* e-mail: mkzangeneh@scu.ac.ir

Received: 14 April 2018
Accepted: 4 May 2018
Published online: 17 May 2018

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.