The electronic ground states of the actinide dioxides AnO2 (with An=U, Np,
Pu, Am, and Cm) are investigated employing first-principles calculations within
the framework of the local density approximation +U (LDA+U) approach,
implemented in a full-potential linearized augmented plane-wave scheme. A
systematic analysis of the An-5f states is performed which provides intuitive
connections between the electronic structures and the local crystalline fields
of the f states in the AnO2 series. Particularly the mechanisms leading to the
experimentally observed insulating ground states are investigated. These are
found to be caused by the strong spin-orbit and Coulomb interactions of the 5f
orbitals; however, as a result of the different configurations, this mechanism
works in distinctly different ways for each of the AnO2 compounds. In agreement
with experimental observations, the nonmagnetic states of plutonium and curium
dioxide are computed to be insulating, whereas those of uranium, neptunium, and
americium dioxides require additional symmetry breaking to reproduce the
insulator ground states, a condition which is met with magnetic phase
transitions. We show that the occupancy of the An-f orbitals is closely
connected to each of the appearing insulating mechanisms. We furthermore
investigate the detailed constitution of the noncollinear multipolar moments
for transverse 3q magnetic ordered states in UO2 and longitudinal 3q high-rank
multipolar ordered states in NpO2 and AmO2.Comment: 15 pages, 19 figures, 1 table; accepted for publication in Phys. Rev.