Weyl-Kondo semimetals in chiral and magnetic settings

Weyl-Kondo semimetals represent a class of gapless topological states driven by strong correlations. Here, we consider such phases in chiral or magnetic settings. Chiral crystals belong to a class of crystalline materials that lack mirror and inversion symmetry. In such crystals, electrons with different chirality are not related by any symmetry operations. Therefore, they serve as the platform for chiral phenomena in condensed matter settings. Here, we consider the chiral crystal environment for Kondo lattice systems. We find that the Kondo effect cooperates with the symmetry constraints of the chiral lattice to produce non-degenerate Weyl fermions near the Fermi energy. The corresponding Berry charge gives rise to experimentally measurable signatures. Among the latter are the circular photogalvanic effect (CPGE). The effects are significantly renormalized by the strong electron-electron interaction in the Kondo effect. Our work connects with the recent experiments on Ce3Rh4Sn13, and sheds light on the further experimental exploration of this and related heavy fermion materials. Separately, I will discuss Weyl-Kondo semimetals with magnetic orders and their possible material realizations.