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

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