Dynamically generated gap from holography in the charged black brane with hyperscaling violation

TL;DR

This paper explores how a dipole coupling in a holographic model with hyperscaling violation influences the fermionic phases, revealing transitions between Fermi, non-Fermi, and Mott insulating states, and examining the zeros-poles duality.

Contribution

It provides an analytical study of fermionic Green's functions in a hyperscaling violating background, uncovering phase transitions and dualities affected by dipole coupling and hyperscaling exponent.

Findings

Identification of Fermi, marginal Fermi, non-Fermi liquid, and Mott insulating phases.

Hyperscaling violation reduces the ease of Mott gap formation.

Zeros-poles duality persists with hyperscaling violation.

Abstract

We holographically investigate the effects of a dipole coupling between a fermion field and a $U(1)$ gauge field on the dual fermionic sector in the charged gravity bulk with hyperscaling violation. We analytically study the features of the ultraviolet and infrared Green's functions of the dual fermionic system and we show that as the dipole coupling and the hyperscaling violation exponent are varied, the fluid possess Fermi, marginal Fermi, non-Fermi liquid phases and also an additional Mott insulating phase. We find that the increase of the hyperscaling violation exponent which effectively reduces the dimensionality of the system makes it harder for the Mott gap to be formed. We also show that the observed duality between zeros and poles in the presence of a dipole moment coupling still persists in theories with hyperscaling violation.