Beilstein J. Nanotechnol.2024,15, 1010–1016, doi:10.3762/bjnano.15.82
; density functional theory; G0W0approximation; ionization potentials; magic clusters; Introduction
Calcium metal has a closed shell structure and belongs to the group IIA alkaline-earth metals [1]. It has been widely used in carbon-chemical engineering (coating fullerene in hydrogen storage), optics, and
small Ca clusters of up to 20 atoms, the structure, energies, and electronic structure were studied within the all-electron DFT approach. Our work aims to present the intricate characteristics of small Ca clusters by employing the DFT and state-of-the-art G0W0approximation, which was recently used to
PDF
Figure 1:
The ground-state structures of Ca clusters (n = 2–20).
Beilstein J. Nanotechnol.2014,5, 19–25, doi:10.3762/bjnano.5.2
approximation, leading to Σ = iG0W0. Though a fully self-consistent GW calculation often improves the accuracy, in some cases it can even overestimate the band gap. As the G0W0approximation gives a band gap for bulk Si in excellent agreement with experiment, no self-consistent GW-treatment was necessary in the
(within the GW approximation for the electron self-energy operator Σ) are obtained by solving the Dyson equation [48]:
with the non-interacting Green’s function
and fnk being the occupation factor and εnk the Kohn−Sham energies. The Dyson equation is solved non-self-consistently, i.e., within the G0W0
PDF
Figure 1:
Perspective view of silicon nanotubes (4,4) (a), (6,6) (b) and (10,0) (c).