Holographic fermions in charged dilaton black branes

TL;DR

This paper investigates the spectral functions of fermions in a charged dilaton black brane with Lifshitz-like IR geometry, revealing Fermi surfaces, linear dispersion, and a holographic flat band, indicating Fermi-liquid-like behavior.

Contribution

It introduces a study of fermionic spectral functions in dilatonic black branes with Lifshitz IR geometry, highlighting emergent Fermi surfaces and flat bands.

Findings

Emergent Fermi-surface structures in the spectral functions.

Linear dispersion relation at low energy.

Holographic flat band appears in the background.

Abstract

By imposing the relativistic boundary term and Lorentz violating that in the dilatonic black brane with a Lifshitz like IR geometry and $AdS_4$ boundary, we study the properties of the spectral functions of the fermions. We find that in the two fixed points, there are emergent Fermi-surface structures and many properties seem to be in agreement with that of Fermi liquid. Especially, the low energy behavior exhibits a linear dispersion relation. In addition, we also find that a holographic flat band also emerges in this background of the dilatonic black brane.