Solvable lattice models for intermediate scale non-Fermi liquid metals

A number of strongly correlated materials, such as the ruthenates and cobaltates, display metallic non-Fermi liquid (NFL) properties over a broad range of temperatures down to a low coherence scale, T_coh. The intermediate NFL regime displays anomalous transport properties, broad electronic spectral functions indicating the absence of sharp quasiparticles and is often accompanied by a finite extrapolated zero temperature entropy. Theoretically, examples of similar NFL metals can be obtained using higher dimensional generalizations of the solvable SYK model and have also been shown to arise in dynamical mean-field theory solutions of more realistic microscopic models. Going beyond these approaches, I will propose other models and setups where a broad incoherent metallic regime arises in the presence of a finite configurational entropy.