Kondo-driven topological semimetals in two and three dimensions

In strongly correlated settings, how space group symmetry influences electronic
topology is a general question that has been little explored. Motivated by recent
developments on Weyl-Kondo semimetals, and guided by space-group symmetry
constraints, we study the Kondo lattice Hamiltonian on several lattices in two and three
dimensions. We find that the Kondo effect in these lattices drives Weyl or Dirac nodes
and pins them to the vicinity of the Fermi energy. This robust feature captures the
interplay between strong correlations on the one hand and constraints of space-group
symmetry and electron filling on the other. The overall implications of our results for strongly
correlated topology are discussed.