Abstract
A transition or rare-earth metal is modeled as the atom immersed in a jellium at intermediate electron gas densities specified by rs=4.0. The ground states of the spherical jellium atom are constructed based on the Hohenberg-Kohn-Sham density-functional formalism with the inclusion of electron-electron self-interaction corrections of Perdew and Zunger. Static and dynamic polarizabilities of the jellium atom are deduced using time-dependent linear response theory in a local density approximation as formulated by Stott and Zaremba. The calculation is extended to include the intervening elements In, Xe, Cs, and Ba. The calculation demonstrates how the Lindhard dielectric function can be modified to apply to non-simple metals treated in the jellium model.
Highlights
The dynamical polarizability, α (ω ) and its corresponding static value, α (0)for metals, have been investigated theoretically by mainly using aggregate of particles to mimic the metal
The ground states of the spherical jellium atom are constructed based on the Hohenberg-KohnSham density-functional formalism with the inclusion of electron-electron self-interaction corrections of Perdew and Zunger
We briefly review the Perdew-Zunger [24] theory of self-interaction correction (SIC) to density-functional approximations for many-body electron systems on which the calculations are based
Summary
The dynamical polarizability, α (ω ) and its corresponding static value, α (0)for metals, have been investigated theoretically by mainly using aggregate of particles to mimic the metal. In 1965, Gor’kov and Eliashberg (GE) [1] introduced the idea of exploring the electronic excitations of small metallic particles based on phenomenological temperature-dependent statistical mechanics. With this concept they provided an explanation to the anomalous enhancement in α (0). This insight generated interest in the physics of small metallic particles and similar investigations ensued thereafter that exploited other theoretical methods.
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