Holographic p-wave superconductor models with Weyl corrections

TL;DR

This paper investigates how Weyl corrections influence holographic p-wave superconductor models in AdS backgrounds, revealing that these corrections affect phase transitions differently in soliton and black hole settings.

Contribution

It is the first to analyze the impact of Weyl corrections on holographic p-wave models in both AdS soliton and black hole backgrounds using numerical and analytical methods.

Findings

Weyl corrections do not affect the insulator/superconductor transition in the soliton background.

Weyl corrections facilitate the metal/superconductor transition in the black hole background.

The p-wave models with Weyl corrections share similar features in vector operator condensation.

Abstract

We study the effect of the Weyl corrections on the holographic p-wave dual models in the backgrounds of AdS soliton and AdS black hole via a Maxwell complex vector field model by using the numerical and analytical methods. We find that, in the soliton background, the Weyl corrections do not influence the properties of the holographic p-wave insulator/superconductor phase transition, which is different from that of the Yang-Mills theory. However, in the black hole background, we observe that similar to the Weyl correction effects in the Yang-Mills theory, the higher Weyl corrections make it easier for the p-wave metal/superconductor phase transition to be triggered, which shows that these two p-wave models with Weyl corrections share some similar features for the condensation of the vector operator.