Coexistence and competition of ferromagnetism and p-wave superconductivity in holographic model

TL;DR

This paper investigates the interplay between ferromagnetism and p-wave superconductivity using a holographic model, revealing how their coexistence or competition depends on interaction types and phase order.

Contribution

It introduces a combined holographic model to analyze the coexistence and competition of ferromagnetism and p-wave superconductivity, highlighting the effects of magnetic self-interaction and phase sequence.

Findings

Coexistence occurs with attractive interactions when ferromagnetism appears first.

Pure ferromagnetic or superconducting phases dominate with repulsive interactions.

The phase sequence influences the emergence of magnetic p-wave superconducting states.

Abstract

By combining a holographic p-wave superconductor model and a holographic ferromagnetism model, we study the coexistence and competition of ferromagnetism and p-wave superconductivity. It is found that the results depend on the self-interaction of magnetic moment of the complex vector field and which phase appears first. In the case that the ferromagnetic phase appears first, if the interaction is attractive, the system shows the ferromagnetism and superconductivity can coexist in low temperatures. If the interaction is repulsive, the system will only be in a pure ferromagnetic state. In the case that the superconducting phase appears first, the attractive interaction will leads to a magnetic p-wave superconducting phase in low temperatures. If the interaction is repulsive, the system will be in a pure p-wave superconducting phase or ferromagnetic phase when the temperature is lowered.