Holographic metals at finite volume

TL;DR

This paper constructs a holographic model of a finite-volume metal using electron star solutions in AdS space, analyzing its stability and phase diagram, including a quantum critical point at finite chemical potential.

Contribution

It introduces a new holographic model of a finite-volume metal via electron star solutions and explores its stability and phase structure, including quantum criticality.

Findings

Identified a quantum critical point at finite chemical potential.

Mapped the phase diagram of the holographic metal.

Analyzed stability properties under perturbations.

Abstract

We construct the electron star solution in asymptotically global AdS spacetime, and investigate its stability properties, both locally under perturbations and globally with respect to the Reissner-Nordstr\"om black hole and thermal AdS metrics. We interpret the resulting phase diagram as that of a holographic metal confined to a finite volume. We identify a quantum critical point at finite chemical potential, around which the different phases are organized.