Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 68: Topology: Other Topics

TT 68.4: Vortrag

Freitag, 5. April 2019, 10:15–10:30, H22

Error-Analysis of the Chern Number in the Haldane-Hubbard Model — •Thomas Mertz, Karim Zantout, and Roser Valentí — Institut für Theoretische Physik, Goethe Universität, 60438 Frankfurt am Main, Germany

In correlated models such as the Hubbard model, the exact form of the self-energy has proven to be elusive, even to the most state-of-the-art numerical techniques. Successors to dynamical mean field theory have been developed to treat the momentum-dependent corrections, however, there is still no general consensus among these improvements.

Here, we discuss the effects of different sources of error in the self-energy on the Chern number. Our discussion puts a particular emphasis on the non-local corrections obtained on top of the dynamical mean field self-energy. In our analysis we study the Haldane-Hubbard model, however, our results should be applicable to similar models as well.