Emerging Fermi liquids from regulated Quantum Electron Stars

TL;DR

This paper constructs a stable, fully quantum electron star model in holography that describes a transition from a gapped Fermi liquid to a strongly coupled fixed point, advancing understanding of quantum critical states.

Contribution

It introduces a regulated, backreacted quantum electron star in AdS holography, capturing a novel RG flow involving a gapped Fermi liquid and a non-trivial fixed point.

Findings

Stable quantum electron star solution constructed.

Demonstrates RG flow from gapped Fermi liquid to fixed point.

Provides a fermionic analogue of known holographic domain wall solutions.

Abstract

We construct a fully quantum zero-temperature electron star in a soft-wall regulated anti-de-Sitter Einstein-Maxwell-Dirac theory that is thermodynamically stable compared to the Reissner-Nordstr\"{o}m black hole. The soft wall only acts on the effective mass of the fermionic degrees of freedom, and allows for a controlled fully backreacted solution. The star is holographically dual to an RG flow where a gapped Fermi liquid starts to emerge from a UV CFT, but decouples again once the effective energy scale becomes lower than the the gap of the fermionic degrees of freedom. The RG flow then returns to a non-trivial strongly coupled relativistic fixed point with a holographic dual. Our regulated quantum electron star is thus the fermionic analogue of the Horowitz-Roberts-Gubser-Rocha AdS-to-AdS domain wall solution for the holographic superconductor.