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.
Highlights
Has triggered further interest in the study of the dipole coupling effect on the holographic fermionic systems [10,11,12,13,14,15,16,17,18,19]
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 an additional Mott insulating phase
We have studied the behaviour of a holographic fermionic system with a charged black brane with hyperscaling violation in the bulk in the presence of dipole interaction between a massless fermion and a gauge field
Summary
To probe the geometry with hyperscaling violation, we consider the following Dirac action including a dipole moment coupling between the fermion and the gauge field. Into the Dirac action (3.1) and explore its effects on the spectral function as well as the enhance/competition between p and p. A new boundary counterterm is usually needed to obtain a finite on-shell action. [49] can shed a light on how to understand the divergences from the point of view of the field theory and the boundary counterterms. We remind readers to note that the charge q and the bulk dipole coupling p for z = 1 and θ = 0 here will correspond to q/2 and p/2 in refs.
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