Dressing the Electron Star in a Holographic Superconductor

TL;DR

This paper introduces 'compact electron star' solutions in holography that combine fermionic fluids and scalar hair, revealing new thermodynamically favored phases and phase transitions in dual 2+1 CFTs at finite density and zero temperature.

Contribution

It presents novel 'compact electron star' solutions merging electron stars and holographic superconductors, expanding the landscape of holographic duals for strongly correlated systems.

Findings

Compact electron stars are thermodynamically favored in certain parameter regions.

Evidence of a continuous phase transition between holographic superconductor and compact star.

New solutions enrich the understanding of phase structure in holographic duals.

Abstract

We construct new asymptotically AdS_4 solutions dual to 2+1 CFTs at finite density and zero temperature by combining the ingredients of the electron star and the holographic superconductor. The solutions, which we call "compact electron stars", contain both a fermionic fluid and charged scalar hair in the bulk. We show that the new solutions are thermodynamically favoured in the region of parameter space where they exist. Along the boundary of this region, we find evidence for a continuous phase transition between the holographic superconductor and the compact star solution.