Signatures of Mottness and Hundness in archetypal correlated metals.

Physical properties of multi-orbital materials depend not only on the strength of the effective interactions among the valence electrons but also on their type. Strong correlations are caused by either the Mott physics that captures the Coulomb repulsion among charges, or the Hund's physics that aligns the spins in different orbitals. We illustrate the signatures that distinguish the origin of correlations in the temperature dependence of the local spectrum, the charge, spin and orbital susceptibilities by investigating two archetypal strongly correlated materials, and corroborated their generality with a model study. We demonstrate two distinct routes of screening from atomic degree of freedom towards emerging quasiparticles due to Mott and Hund's physics respectively. Notably we identify four energy scales that mark the onset and completion of screening in spin and orbital channels, and unveil their characteristics in Mott and Hund's systems.