Linear-in-resistivity from semiholographic non-Fermi liquid models

We construct a semiholographic effective theory in which the electron of a two-dimensional band hybridizes with a fermionic operator of a critical holographic sector, while also interacting with other bands that preserve quasiparticle characteristics. Besides the scaling dimension of the fermionic operator in the holographic sector, the effective theory has two dimensionless couplings and determining the holographic and Fermi-liquid-type contributions to the self-energy respectively. We find that irrespective of the choice of the holographic critical sector, there exists a ratio of the effective couplings for which we obtain linear-in- resistivity for a wide range of temperatures. This scaling persists to arbitrarily low temperatures when approaches unity in which limit we obtain a marginal Fermi liquid with a specific temperature dependence of the self-energy.