Magnetic effects in a holographic Fermi-like liquid

TL;DR

This paper investigates magnetic phenomena in a holographic Fermi-like liquid, revealing ferromagnetism, anomalous Hall effect, and magnetic field effects on stability and zero sound modes.

Contribution

It introduces a holographic model showing magnetic properties like ferromagnetism and Hall effect, and analyzes magnetic field impacts on phase stability and excitations.

Findings

The system exhibits ferromagnetism and anomalous Hall effect.

Magnetic field reduces instability towards striped phases.

A critical magnetic field makes the zero sound mode massive.

Abstract

We explore the magnetic properties of the Fermi-like liquid represented by the D3-D7' system. The system exhibits interesting magnetic properties such as ferromagnetism and an anomalous Hall effect, which are due to the Chern-Simons term in the effective gravitational action. We investigate the spectrum of quasi-normal modes in the presence of a magnetic field and show that the magnetic field mitigates the instability towards a striped phase. In addition, we find a critical magnetic field above which the zero sound mode becomes massive.