d-wave Holographic Superconductor Vortex Lattice and Non-Abelian Holographic Superconductor Droplet

TL;DR

This paper investigates different types of holographic superconductors under magnetic fields, deriving vortex lattice and droplet solutions, and highlights the unique behavior of non-Abelian models compared to s-wave and d-wave types.

Contribution

It presents new solutions for d-wave and non-Abelian holographic superconductors under magnetic fields, including vortex lattice and droplet configurations.

Findings

D-wave superconductor exhibits vortex lattice and droplet solutions similar to s-wave.

Non-Abelian superconductor with p+ip-wave background only shows droplet solutions.

Distinct behaviors observed between non-Abelian and s/d-wave models under magnetic fields.

Abstract

A d-wave holographic superconductor is studied under a constant magnetic field by perturbation method, we obtain both droplet and triangular vortex lattice solution. The results are the same as the s-wave holographic superconductor. The non-Abelian holographic superconductor with $p+ip$-wave background is also studied under magnetic field, unlike the d-wave and s-wave models, we find that the non-Abelian model has only droplet solution.