Holographic superconductor models with the Maxwell field strength corrections

TL;DR

This paper investigates how quadratic corrections to the Maxwell field influence holographic superconductor models in AdS backgrounds, revealing that such corrections hinder condensation in black hole backgrounds but do not affect phase transitions in soliton backgrounds.

Contribution

It introduces the impact of Maxwell field strength corrections on holographic dual models, highlighting differences between black hole and soliton backgrounds.

Findings

Higher Maxwell corrections make condensation harder in black hole backgrounds.

The corrections alter the gap frequency relation.

In soliton backgrounds, the phase transition remains unaffected by these corrections.

Abstract

We study the effect of the quadratic field strength correction to the usual Maxwell field on the holographic dual models in the backgrounds of AdS black hole and AdS soliton. We find that in the black hole background, the higher correction to the Maxwell field makes the condensation harder to form and changes the expected relation in the gap frequency. This effect is similar to that caused by the curvature correction. However, in the soliton background we find that different from the curvature effect, the correction to the Maxwell field does not influence the holographic superconductor and insulator phase transition.