Extremely sensitive control of topological phases in a Weyl-Kondo semimetal via Zeeman effect

The intersection of topology and strong correlations has recently been an active area of research, especially for metallic systems. In particular, the question of how strong correlations can drive topological states and whether such states can be carefully controlled merits further studies. In this work, we study a Weyl-Kondo semimetal subject to a Zeeman field on the local moments of a noncentrosymmetric Kondo lattice model. We discover a sequence of topological Lifshitz transitions through a series of topologically nontrivial semimetal regimes, which form Weyl nodes bound to the Fermi energy due to the many-body Kondo resonance. Below the magnetic field that it takes to suppress the Kondo effect, the Weyl nodes converge and annihilate into a Kondo insulator state. Thus, we demonstrate an extreme topological tunability that is separate from the strong correlation tuning. These results have important implications for experiments on strongly correlated and topological systems and advance the global phase diagram of strongly correlated topology.