Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 61: Correlated Electrons: (General) Theory 2

TT 61.1: Talk

Thursday, March 23, 2017, 09:30–09:45, HSZ 204

Magnetic response of spin-orbit coupled d-electrons in non-spherical potentials — •Daniil Toloui-Mantadakis, Marc Hoeppner, and Philipp Hansmann — Max Planck Institute for Solid State Research, Stuttgart, Germany

The Hubbard model and its multi-orbital extensions is one of the most prominent microscopic starting points to understand properties of ground state and low energy excitations. Its explicit formulation in terms of single particle operators and the effective Coulomb interaction crucially relies on approximations which are based on an assumed hierarchy of energy scales: while in 3d transition metal compounds crystal field effects dominate and yield good quantum numbers, in 4f rare-earth compounds (e.g. heavy fermion systems like CeX₂Si₂) strong spin-orbit coupling renders total angular momentum to be a much better single particle basis. However, a clear hierarchy is not always present and when we move towards the 4d and 5d compounds we can hardly define any good quantum numbers at all.

Here, we present a dynamical mean-field study of a generic three band model including both crystal field- and spin-orbit coupling operators on equal footing, using the fully SU(2) symmetric Coulomb interaction. We show the results of the two-particle uniform magnetic response which is, other than single particle spectra quantities, much more sensitive to effects of electronic correlations, and we compare them with the exact atomic limit ones.