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We study the interplay between Mott physics, driven by Coulomb repulsion U,and Hund physics, driven by Hund's coupling J, for a minimal model for Hundmetals, the orbital-symmetric three-band Hubbard-Hund model (3HHM) for alattice filling of 1/3. Hund-correlated metals are characterized byspin-orbital separation (SOS), a Hund's-rule-induced two-stage Kondo-typescreening process, in which spin screening occurs at much lower energy scalesthan orbital screening. By contrast, in Mott-correlated metals, lying close tothe phase boundary of a metal-insulator transition, the SOS window becomesnegligibly small and the Hubbard bands are well separated. Using dynamicalmean-field theory and the numerical renormalization group as real-frequencyimpurity solver, we identify numerous fingerprints distinguishing Hundness fromMottness in the temperature dependence of various physical quantities. Theseinclude ARPES-type spectra, the local self-energy, static local orbital andspin susceptibilities, resistivity, thermopower, and lattice and impurityentropies. Our detailed description of the behavior of these quantities withinthe context of a simple model Hamiltonian will be helpful for distinguishingHundness from Mottness in experimental and theoretical studies of realmaterials.

physical review. b./physical review. b

Differentiating Hund from Mott physics in a three-band Hubbard-Hund  model: Temperature dependence of spectral, transport, and thermodynamic  properties