Superconductivity in interacting Weyl models: A combined auxiliary-field quantum Monte Carlo and mean-field study

The discovery of superconducting Weyl semimetals has sparked an intense effort to understand the connection between topology and correlations in these materials, specifically, the pairing behavior of emergent Weyl fermions. Here we study a simple 2D Weyl model with attractive interactions using a combination of numerically exact auxiliary-field quantum Monte Carlo calculations and mean-field theory [1]. We focus on the rich pairing behavior that emerges from the interplay of the spin and sublattice degrees of freedom, as well as the bond-density order. Finally, we present preliminary results on a 3D extension of the model, with direct relevance to the case of MoTe₂. These high-accuracy results are an important step towards a many-body description of strongly-correlated Weyl materials and topological superconductors.

[1] Phys. Rev. B 100, 104522 (2019)