# Holographic fermionic spectrum from Born-Infeld AdS black hole

## TL;DR

This paper investigates the effects of Born-Infeld parameters and dipole coupling on the holographic fermionic spectrum in AdS black holes, revealing non-Fermi liquid behavior and the influence on gap formation.

## Contribution

It systematically analyzes how Born-Infeld parameters and dipole couplings affect the holographic fermionic spectrum, highlighting new behaviors in non-Fermi liquids and gap formation.

## Key findings

- Non-Fermi liquid behavior observed in relativistic fermionic systems.
- Increasing BI parameter enhances non-Fermi liquid characteristics.
- BI term makes gap formation more difficult with dipole coupling.

## Abstract

In this letter, we systematically explore the holographic (non-)relativistic fermionic spectrum without/with dipole coupling dual to Born-Infeld anti-de Sitter (BI-AdS) black hole. For the relativistic fermionic fixed point, this holographic fermionic system exhibits non-Fermi liquid behavior. Also, with the increase of BI parameter $\gamma$, the non-Fermi liquid becomes even "more non-Fermi". When the dipole coupling term is included, we find that the BI term makes it a lot tougher to form the gap. While for the non-relativistic fermionic system with large dipole coupling in BI-AdS background, with the increase of BI parameter, the gap comes into being against.