Orbital-dependent correlations in PuCoGa$_5$*

Among the group of Pu-based compounds, PuCoGa$_5$ has attracted major interest since its superconductivity develops at
$T_{c}$ = 18.5 K, which is the record transition temperature among the family of heavy fermion superconductors.
More recently, It has been conjectured [1] that there is a connection between superconductivity and orbital differentiation,
which is a key concept to understand the physics of ruthenates and iron-based superconductors.
In this study we investigate the orbital-dependence of correlations in PuCoGa$_5$ as a function of temperature. In particular,
we employed the combination of density functional theory (DFT) and dynamical mean field theory and the DFT+Gutzwiller$/$rotationally invariant slave boson method.
According to our calculations there is a strong tendency of the orbitals to differentiate in PuCoGa$_5$ at low temperatures.
In particular, both methods suggest that electronic correlations remove the Pu-5$f_{7/2}$ spectral weight from the Fermi level relative to DFT.

[1] L. de' Medici, Phys. Rev. Lett. 118, 167003 (2017).