Dresden 2020 – scientific programme

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MA: Fachverband Magnetismus

MA 33: Correlation Theory I

MA 33.9: Talk

Wednesday, March 18, 2020, 11:45–12:00, HSZ 403

Non-local Correlation and Interaction Effects on the Phase Diagram of the Kane-Mele-Hubbard Model — •Markus Richter — TU-Graz, Austria

We use the honeycomb lattice as a playground to investigate the effects of strong correlations, non-local interactions, and spin-orbit coupling, using one orbital per site at half filling.

The model Hamiltonian of our choice is the extended Kane-Mele Hubbard model. This model provides, besides the unordered phase, two ordered phases, namely spin-density waves (SDW) and charge-density waves (CDW), as well as the additional characterization of being topologically trivial or non-trivial.

To analyze the interplay between the different phases we calculate phase diagrams using the different methods (extended) DMFT and TRILEX (triply irreducible local expansion). Unlike (E)DMFT, within TRILEX the self-energy becomes also k-dependent due to local vertex corrections.