Magnetic-field effects on $p$-wave phase transition in Gauss-Bonnet gravity

TL;DR

This paper investigates how external magnetic fields influence the p-wave phase transition in a holographic model within Gauss-Bonnet gravity, revealing that magnetic fields promote the transition while Gauss-Bonnet terms hinder it, with analytical and numerical agreement.

Contribution

It introduces a detailed analysis of magnetic field effects on p-wave holographic superconductors in Gauss-Bonnet gravity, including both numerical and analytical approaches, and explores implications for QCD vacuum instability.

Findings

Magnetic field enhances the superconductor phase transition at the lowest Landau level.

Increasing Gauss-Bonnet parameter suppresses the vector condensate.

Analytical results confirm numerical findings.

Abstract

In the probe limit, we study the holographic $p$-wave phase transition in the Gauss-Bonnet gravity via numerical and analytical methods. Concretely, we study the influences of the external magnetic field on the Maxwell complex vector model in the five-dimensional Gauss-Bonnet-AdS black hole and soliton backgrounds, respectively. For the two backgrounds, the results show that the magnetic field enhances the superconductor phase transition in the case of the lowest Landau level, while the increasing Gauss-Bonnet parameter always hinders the vector condensate. Moreover, the Maxwell complex vector model is a generalization of the SU(2) Yang-Mills model all the time. In addition, the analytical results backup the numerical results. Furthermore, this model might provide a holographic realization for the QCD vacuum instability.