We study the exchange constants of MnV$_2$O$_4$ using magnetic force theorem and local spin density approximation of density functional theory supplemented with a correction due to on-site Hubbard interaction U. We obtain the exchanges for three diff
erent orbital orderings of the Vanadium atoms of the spinel. We then map the exchange constants to a Heisenberg model with single-ion anisotropy and solve for the spin-wave excitations in the non-collinear, low temperature phase of the spinel. The single-ion anisotropy parameters are obtained from an atomic multiplet exact-diagonalization program, taking into effect the crystal-field splitting and the spin-orbit coupling. We find good agreement between the spin waves of one of our orbital ordered setups with previously reported experimental spin waves as determined by neutron scattering. We can therefore determine the correct orbital order from various proposals that exist in the literature.
We present the results of calculations for Pu and Am performed using an implementation of self-consistent relativistic GW method. The key feature of our scheme is to evaluate polarizability and self-energy in real space and Matsubaras time. We compar
e our GW results with the calculations using local density (LDA) and quasiparticle (QP) approximations and also with scalar-relativistic calculations. By comparing our calculated electronic structures with experimental data, we highlight the importance of both relativistic effects and effects of self-consistency in this GW calculation.
Inclusion of correlation effects affects quantitatively the agreement with experiment as far as the value of energy shift and the level of doping is concerned, and our original statement that nesting at ($pi$,0) can be responsible for magnetic behavior of FeTe is hereby reinstated.
