Holographic superconductor with nonlinear Born - Infeld-type electrodynamics

TL;DR

This paper investigates holographic s-wave superconductors within nonlinear Born-Infeld-type electrodynamics in Schwarzschild-AdS black hole backgrounds, deriving analytical expressions for critical temperatures, phase transition behavior, and conductivity.

Contribution

It introduces an analytical study of holographic superconductors with nonlinear electrodynamics, extending previous models to include Born-Infeld and exponential types and deriving key physical quantities.

Findings

Critical temperature depends on model parameters.

Critical exponent near transition is 1/2.

Analytical expressions for condensation and conductivity are obtained.

Abstract

Holographic s-wave superconductors in the framework of nonlinear Born - Infeld-type electrodynamics is investigated in the background of Schwarzschild anti-de Sitter black holes. As particular cases, at some model parameters, we obtain results for Born - Infeld and exponential electrodynamics. We explore the analytical Sturm-Liouville eigenvalue problem in the probe limit where the scalar and electromagnetic fields do not effect on the background metric. The critical temperatures of phase transitions and the order parameter are calculated which depend on the model parameters. We show that the critical exponent near the critical temperature is 1/2. Making use of the matching method we derive analytical expressions for the condensation values and the critical temperature. The conductivity by the analytical method is calculated.