Holographic fermionic spectrum with Weyl correction

TL;DR

This paper investigates how Weyl corrections influence the fermionic spectrum in holographic models, revealing non-Fermi liquid behavior, nonlinear spectral features, and a transition in coupling strength based on the Weyl coupling parameter.

Contribution

It introduces the effects of Weyl correction on holographic fermionic spectra, highlighting the nonlinearity and phase transition related to the Weyl coupling parameter.

Findings

Fermionic spectrum exhibits non-Fermi liquid behavior.

Peak height and dispersion relation are nonlinear functions of Weyl coupling.

Deviation from Fermi liquid is greater for negative Weyl coupling.

Abstract

We study the ferminoic spectrum with Weyl correction, which exhibits the non-Fermi liquid behavior. Also, we find that both the height of the peak of the fermionic spectrum and the dispersion relation exhibit a nonlinearity with the variety of the Weyl coupling parameter $\gamma$, which mean that such nonlinearity maybe ascribe to the one of the Maxwell field. Another important property of this system is that for the holographic fermionic system with $\gamma<0$, the degree of the deviation from Fermi liquid is heavier than that for the one with $\gamma>0$. It indicates that there is a transition of coupling strength in the dual boundary field theory.