Diving into a holographic multi-band superconductor

TL;DR

This paper explores the complex interior structure of a holographic multi-band superconductor with two scalar fields, revealing new transition behaviors near black hole singularities that depend on boundary system details.

Contribution

It introduces a novel transition rule among Kasner universes in multi-band holographic superconductors, extending previous single-band models and enhancing understanding of black hole interiors.

Findings

Discovered a new Kasner transition rule in multi-band models

Kasner exponents depend on boundary order parameters

Black hole interior structures relate to boundary condensed matter properties

Abstract

In this work, we investigate the interior structure of a holographic multi-band superconductor model. We focus on the holographic superconductor system with two scalar fields which correspond to two s-wave order parameters in the dual condensed matter system. We discover a new kind of transition rule among Kasner universe near the black hole singularity which is distinct from the holographic single-band superconductor model. This transition rule is the first generalization of Kasner transition behavior to scenarios involving multiple free parameters, which is useful for uncovering the most general interior structures of hairy black holes. Moreover, we find that the Kasner exponents are sensitive to the details of order parameters in boundary system. These different near singularity structures we found show that the black hole interior plays crucial role in characterizing the boundary dual condensed matter systems.