Bose-Fermi competition in holographic metals

TL;DR

This paper explores the holographic duals of systems with both bosons and fermions, revealing multiple possible ground states depending on their conformal weights, including novel mixed states.

Contribution

It introduces the concept of a hairy electron star as a new ground state in holographic models with both bosonic and fermionic degrees of freedom.

Findings

No universal bose-dominated ground state found.

Ground states vary with conformal weights, including pure AdS-RN, superconductors, electron stars, and hairy electron stars.

Identification of a new mixed state called hairy electron star.

Abstract

We study the holographic dual of a finite density system with both bosonic and fermionic degrees of freedom. There is no evidence for a universal bose-dominated ground state. Instead, depending on the relative conformal weights the preferred groundstate is either pure AdS-Reissner-Nordstrom, a holographic superconductor, an electron star, or a novel mixed state that is best characterized as a hairy electron star.