Holographic droplets in p-wave insulator/superconductor transition

TL;DR

This paper investigates how magnetic fields influence the phase transition between insulator and superconductor states in holographic p-wave models, revealing droplet solutions and the impact of magnetic field strength on condensation.

Contribution

It provides an analytic study of magnetic effects on holographic p-wave transitions using AdS soliton backgrounds, including Gauss-Bonnet corrections and p+ip configurations.

Findings

Magnetic field reduces droplet size and makes condensation harder.

Derived a relation between chemical potential and magnetic field near criticality.

Observed droplet solutions in non-abelian holographic models.

Abstract

In the present paper, based on the notion of marginally stable modes of vector perturbations in the AdS soliton back ground we investigate the magnetic field effect on holographic $ p $- wave insulator/superconductor transition in the probe limit. We perform explicit analytic calculations considering both Schwarzschild AdS soliton and Gauss Bonnet AdS soliton back grounds and obtain a unique relation between the chemical potential and the magnetic field near the critical point. We also extend our analysis for $ p+ip $- wave back ground in the presence of external magnetic field. In both the cases it is observed that the non abelian model exhibit \textit{droplet} solutions. Moreover it is also found that the increase in the value of the external magnetic field essentially reduces the size of the droplet and thereby makes the condensation harder.