Holographic fermions in the Dyonic Gubser-Rocha black hole

TL;DR

This paper explores how magnetic fields and momentum relaxation affect fermionic properties in a holographic model, revealing transitions from Fermi liquid to insulator states through spectral function analysis.

Contribution

It introduces a dyonic Gubser-Rocha model with magnetic field and momentum relaxation, analyzing their impact on low-energy fermionic physics and phase transitions.

Findings

Spectral functions change significantly with magnetic field and momentum relaxation.

Transition from Fermi liquid to non-Fermi liquid and insulating states observed.

Magneto-scattering rate varies from nearly zero to maximum across phases.

Abstract

We investigate the fermionic properties of a dyonic Gubser-Rocha model in the context of gauge/gravity duality. This model incorporates both a magnetic field and momentum relaxation. We have derived this model's scaling exponent, revealing the influence of the magnetic field and momentum relaxation on low-energy physics. As the magnetic field strength and momentum relaxation increase, the spectral function of the dual field changes significantly. Specifically, we observe variations in the scaling exponent, Fermi momentum, and dispersion relations as the magnetic field increases, highlighting the system's transition from a Fermi liquid to a non-Fermi liquid, and eventually to an insulating state. Our analysis of the magneto-scattering rate reveals that it is nearly zero in the Fermi liquid region, increases significantly in the non-Fermi liquid region, and ultimately arrives at a maximum value in the insulating state.