Transport properties of interacting Weyl semi-metals*

Predicted theoretically in 2011 and experimentally discovered a few years later, Weyl semi-metals have become a vast and dynamic field in condensed matter. This interest is due to rich physics linked to exceptional topological properties of these metals, in particular the chirality of their nodes. The non-trivial topology influences the transport properties of the Weyl semimetals, leading to negative magneto-resistance and anomalous Hall effect, for instance.

Motivated by recent experimental discoveries of strongly interacting Weyl semi-metals, we used a generalization of dynamical mean-field theory in the presence of a magnetic field to study a Hubbard model for a Weyl semimetal. This allowed us to test the robustness of the topology in the strong interaction regime. We also computed transport properties such as magneto-resistance and Hall effect for various regimes of interactions and temperatures.