A note on the effects of magnetic field on holographic fermions with dipole-like coupling

TL;DR

This paper investigates how a magnetic field influences holographic fermions with dipole-like coupling in a dyonic AdS4 black hole background, revealing a universal scaling relation between decay width and coupling.

Contribution

It introduces the effect of magnetic fields on holographic fermions with non-minimal coupling, highlighting a universal scaling behavior in decay width across Landau levels.

Findings

Decay width scales universally with coupling parameter

Magnetic field quantizes momentum into Landau levels

Fermi level and quasiparticle width are tunable via coupling

Abstract

In this note, we study the effects of non-zero magnetic field on the fermion spectral function coupled with a non-minimal coupling in the background of a dyonic $AdS_4$ black hole. The system can be reduced to a non magnetic one with the momentum being quantized into Landau levels $n$. By tuning the coupling parameter, we study its effect on the Fermi level and the quasiparticle width. We found an interesting scaling relation between the decay width and the coupling parameter, with a universal scaling exponent which is independent of the levels $n$.