Holographic fermions in charged Gauss-Bonnet black hole

TL;DR

This paper investigates how the Gauss-Bonnet coupling affects fermionic Green's functions in charged black holes, revealing non-Fermi liquid behavior and particle-hole asymmetry, with implications for holographic duals.

Contribution

It introduces the effects of Gauss-Bonnet coupling on fermionic properties in charged black holes, highlighting conditions for non-Fermi liquid behavior and particle-hole asymmetry.

Findings

For q=1, the system differs from Landau Fermi liquid.

The system approaches Fermi liquid behavior as α approaches its lower bound.

Particle-hole asymmetry exists when q≠0.

Abstract

We study the properties of the Green's functions of the fermions in charged Gauss-Bonnet black hole. What we want to do is to investigate how the presence of Gauss-Bonnet coupling constant $\alpha$ affects the dispersion relation, which is a characteristic of Fermi or non-Fermi liquid, as well as what properties such a system has, for instance, the Particle-hole (a)symmetry. One important result of this research is that we find for $q=1$, the behavior of this system is different from that of the Landau Fermi liquid and so the system can be candidates for holographic dual of generalized non-Fermi liquids. More importantly, the behavior of this system increasingly similar to that of the Landau Fermi liquid when $\alpha$ is approaching its lower bound. Also we find that this system possesses the Particle-hole asymmetry when $q\neq 0$, another important characteristic of this system. In addition, we also investigate briefly the cases of the charge dependence.