First-principles study of the electronic structure and the Fermi surface in rare-earth filled skutterudites RPt4Ge12

Experiments on rare-earth filled skutterudites demonstrate an intriguing array of thermodynamic, transport, and superconducting properties, and bring to fore theoretical challenges posed by $f$-electron systems. First-principle calculations based density functional theory and its extensions for strongly correlated systems such as the Hubbard $U$ correction, provide valuable information about electronic structure that can be used to understand experiments. We present a comprehensive study of the electronic structure and Fermi surface of a series of rare-earth filled skutterudites, $R{\mathrm{Pt}}₄{\mathrm{Ge}}₁₂$ (where $R$ = La, Ce, Pr), aimed at shedding light on: consequences of progressive increase of $f$-orbital occupancy in the series; the effects of the Hubbard parameter $U$; and the Fermi surfaces, band structures, and densities of states. The calculated Fermi surfaces may be relevant to the question of multiband versus single-band superconductivity. Computed densities of states qualitatively explain the available resonant photoemission spectroscopy experiments, and (together with available specific heat measurements) provide estimates of the effective masses. We also show the existence of pseudogaps in the total density of states which may be relevant for the thermoelectric properties of these systems.