Spin density wave order in interacting type-I and type-II Weyl semimetals

Weyl semimetals (WSM) have emerged as an excellent platform for studying the interplay of electronic interactions and topology. In this context, we have recently studied the effect of a local repulsive interaction on an inversion-symmetry breaking Weyl semimetal model, using the Cluster Dynamical Mean Field theory (CDMFT) and Variational Cluster Approximation (VCA) methods. In this talk, I will discuss the results of our analysis, which reveals a continuous transition from the Weyl semimetal phase to a gapped spin density wave (SDW) ordered phase at a critical value of the interaction, determined by the band structure parameters. I will further discuss the effect of introducing a finite tilt in the linear dispersion, for accessing the type-II WSM regime, where the critical interaction strength is found to be significantly diminished, indicating a greater susceptibility towards interactions. I will illustrate the behavior of the double occupancy, the spectral function and the Berry curvature associated with the Weyl nodes, in both the semimetallic and the magnetically ordered states. Finally, I will present an interaction-induced phase diagram for the Weyl semimetal model, as a function of the tilt parameter.