Notes on holographic superconductor models with the nonlinear electrodynamics

TL;DR

This paper explores how nonlinear electrodynamics corrections influence holographic superconductor models in AdS backgrounds, revealing that such corrections hinder condensation in black hole backgrounds but do not affect phase transitions in AdS soliton backgrounds.

Contribution

It systematically analyzes the effects of three types of nonlinear electrodynamics on holographic superconductor models in different AdS backgrounds, highlighting contrasting impacts.

Findings

Nonlinear corrections make condensation harder in black hole backgrounds.

In strong contrast, nonlinear corrections do not affect phase transitions in AdS soliton backgrounds.

The influence of nonlinear electrodynamics is similar to curvature corrections in black hole backgrounds.

Abstract

We investigate systematically the effect of the nonlinear correction to the usual Maxwell electrodynamics on the holographic dual models in the backgrounds of AdS black hole and AdS soliton. Considering three types of typical nonlinear electrodynamics, we observe that in the black hole background the higher nonlinear electrodynamics correction makes the condensation harder to form and changes the expected relation in the gap frequency, which is similar to that caused by the curvature correction. However, in strong contrast to the influence of the curvature correction, we find that in the AdS soliton background the nonlinear electrodynamics correction will not affect the properties of the holographic superconductor and insulator phase transitions, which may be a quite general feature for the s-wave holographic superconductor/insulator system.