Holographic p-wave superfluid in Gauss-Bonnet gravity

TL;DR

This paper explores how higher curvature corrections in Gauss-Bonnet gravity influence the phase transition and properties of a holographic p-wave superfluid, revealing complex phase structures and confirming Ginzburg-Landau predictions near critical temperature.

Contribution

It introduces a holographic p-wave superfluid model in Gauss-Bonnet gravity and analyzes the impact of curvature corrections on phase transitions and superfluid characteristics.

Findings

Higher curvature correction hinders vector condensate formation.

Curvature effects facilitate transition from second-order to first-order phase transition.

Results near critical temperature align with Ginzburg-Landau theory.

Abstract

We construct the holographic p-wave superfluid in Gauss-Bonnet gravity via a Maxwell complex vector field model and investigate the effect of the curvature correction on the superfluid phase transition in the probe limit. We obtain the rich phase structure and find that the higher curvature correction hinders the condensate of the vector field but makes it easier for the appearance of translating point from the second-order transition to the first-order one or for the emergence of the Cave of Winds. Moreover, for the supercurrents versus the superfluid velocity, we observe that our results near the critical temperature are independent of the Gauss-Bonnet parameter and agree well with the Ginzburg-Landau prediction.