Holographic Aspects of Fermi Liquids in a Background Magnetic Field

TL;DR

This paper investigates how an external magnetic field influences the quasiparticle spectrum and Fermi surface structure of strongly coupled 2+1 dimensional theories using holographic duality, revealing novel level structures and a transition to Landau behavior.

Contribution

It demonstrates the magnetic field's role in inducing multiple quasiparticle peaks and transitioning the dispersion from non-Landau to Landau behavior in holographic Fermi liquids.

Findings

Multiple quasiparticle peaks at certain magnetic fields.

Deformation of dispersion from non-Landau to Landau behavior.

Disappearance of quasiparticles at the onset of Landau-like behavior.

Abstract

We study the effects of an external magnetic field on the properties of the quasiparticle spectrum of the class of 2+1 dimensional strongly coupled theories holographically dual to charged AdS$_4$ black holes at zero temperature. We uncover several interesting features. At certain values of the magnetic field, there are multiple quasiparticle peaks representing a novel level structure of the associated Fermi surfaces. Furthermore, increasing magnetic field deforms the dispersion characteristics of the quasiparticle peaks from non-Landau toward Landau behaviour. At a certain value of the magnetic field, just at the onset of Landau-like behaviour of the Fermi liquid, the quasiparticles and Fermi surface disappear.