Vortex in holographic two-band superfluid/superconductor

TL;DR

This paper numerically constructs vortex solutions in a holographic two-band superconductor model, analyzing how interband coupling influences order parameters, coherence lengths, and other physical properties across different regimes.

Contribution

It introduces a numerical method to model vortex solutions in a holographic two-band superconductor with interband Josephson coupling, revealing band-specific effects and near-identical coherence lengths.

Findings

Interband coupling affects each band's order parameter differently.

Coherence lengths of the two bands are nearly identical.

Critical magnetic field and penetration length depend on coupling and temperature.

Abstract

We construct numerically static vortex solutions in a holographic model of two-band superconductor with an interband Josephson coupling in both the superfluid and superconductor regime. We investigate the effects of the interband coupling on the order parameter of each superconducting band in the vortex solution, and we find that it is different for each of the two bands. We compute also the free energy, critical magnetic field, magnetic penetration length and coherence lengths for the two bands, and we study their dependence on the interband coupling and temperature. Interestingly, we find that the coherence lengths of the two bands are close to identical.