Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation

TL;DR

This paper investigates how hyperscaling violation in holographic models influences fermionic phases, revealing a variety of liquid behaviors and Fermi surface properties through analytical and numerical analysis.

Contribution

It introduces a comprehensive study of fermionic spectral functions in hyperscaling violating backgrounds, identifying multiple liquid phases and their dependence on model parameters.

Findings

Identification of Fermi, non-Fermi, marginal-Fermi, and log-oscillating phases.

Variation of hyperscaling exponent alters the fermionic phase structure.

Analysis of flat band and Fermi surface properties in non-relativistic fixed points.

Abstract

We consider a holographic fermionic system in which the fermions are interacting with a U(1) gauge field in the presence of a dilaton field in a gravity bulk of a charged black hole with hyperscaling violation. Using both analytical and numerical methods, we investigate the properties of the infrared and ultaviolet Green's functions of the holographic fermionic system. Studying the spectral functions of the system, we find that as the hyperscaling violation exponent is varied, the fermionic system possesses Fermi, non-Fermi, marginal-Fermi and log-oscillating liquid phases. Various liquid phases of the fermionic system with hyperscaling violation are also generated with the variation of the fermionic mass. We also explore the properties of the flat band and the Fermi surface of the non-relativistic fermionic fixed point dual to the hyperscaling violation gravity.