Non-collinear orbital magnetism in molecules, nano-structures and solids

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The proposal aims at an inclusion of orbital contributions to exchange and correlation in both relativistic and non-relativistic density functional theory. Four-current density functional theory is taken as the logical basis. Orbital polarization correction terms to relativistic implementations and relativistic local density approximation plus on-site Coulomb U will be investigated and checked against many-body perturbation theory for small systems. First applications will be solids and molecules for cross-checks by applying the same functionals to both cases. Orbital polarization in transition metal monoxides, metamagnets and f-electron systems as well as the magnetic shielding tensor of small molecules and silanes will be studied.