Wilson Line Response of Holographic Superconductors in Gauss-Bonnet Gravity

TL;DR

This paper investigates how Gauss-Bonnet gravity influences Wilson line responses and phase transitions in holographic superconductors, revealing that quantum corrections significantly affect these phenomena in different backgrounds.

Contribution

It provides a detailed analysis of the impact of Gauss-Bonnet terms on Wilson line responses and phase transition behaviors in holographic superconductors, highlighting background-dependent effects.

Findings

Little-Parks periodicity is independent of Gauss-Bonnet parameter in black brane backgrounds.

No evidence of Little-Parks periodicity in AdS soliton backgrounds.

Quantum corrections from Gauss-Bonnet terms affect phase transition occurrence and Wilson line response.

Abstract

We study the Wilson line response in the holographic superconducting phase transitions in Gauss-Bonnet gravity. In the black brane background case, the Little-Parks periodicity is independent of the Gauss-Bonnet parameter, while in the AdS soliton case, there is no evidence for the Little-Parks periodicity. We further study the impact of the Gauss-Bonnet term on the holographic phase transitions quantitatively. The results show that such quantum corrections can effectively affect the occurrence of the phase transitions and the response to the Wilson line.