Gapless electronic topology driven by strong correlations is an emerging field of great interest, with heavy fermion compounds at its forefront. I will report on the giant signatures of topology observed in Ce3Bi4Pd3, the material that has coined the notion of a Weyl-Kondo semimetal [1-3], and on the genuine topology control that can be achieved by magnetic field tuning, leading to the annihilation of the material’s Weyl nodes at moderate magnetic fields [4,5]. I will also discuss design strategies for further correlation-driven topological phases, and point to new candidate materials [6,7].

• [1] S. Dzsaber et al., Phys. Rev. Lett. 118, 246601 (2017).
• [2] H.-H. Lai et al., PNAS 115/1, 93 (2018).
• [3] S. Dzsaber et al., PNAS 118, e2013386118 (2021).
• [4] S. Dzsaber et al., Nat. Commun. 13, 5729 (2022).
• [5] S. E. Grefe et al., arXiv:2012.15841.
• [6] L. Chen et al., Nat. Phys. 18, 1341 (2022).
• [7] H. Hu et al., arXiv:2110.06182.