Vortex and droplet in holographic D-wave superconductors

TL;DR

This paper explores vortex and droplet solutions in a (2+1)-dimensional D-wave holographic superconductor model under magnetic fields, using numerical methods within a (3+1)-dimensional gravity dual to understand phase behaviors.

Contribution

It introduces numerical solutions for vortex and droplet configurations in a D-wave holographic superconductor, advancing understanding of its phase diagram.

Findings

Identified vortex solutions in the model.

Found droplet solutions under magnetic fields.

Contributed to the phase diagram analysis of D-wave superconductors.

Abstract

We investigate non-trivial localized solutions of the condensate in a (2+1)-dimensional D-wave holographic superconductor model in the presence of a background magnetic field. The calculation is done in the context of the (3+1)-dimensional dual gravity theory of a charged massive spin-2 field in an AdS black hole background. By using numeric techniques, we find both vortex and droplet solutions. These solutions are important for studying the full phase diagram of D-wave superconductors.