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Although strong electronic correlations are known to be responsible for somehighly unusual behaviors of solids such as, metal--insulator transitions,magnetism and even high--temperature superconductivity, their interplay withrecently discovered topological states of matter awaits full exploration. Herewe use a modern electronic structure method combining density functional theoryof band electrons with dynamical self-energies of strongly correlated states topredict that two well-known phases of actinide compound UNiSn, a paramagneticsemiconducting and antiferromagnetic metallic, correspond to TopologicalInsulator (TI) and Weyl semimetal (WSM) phases of topological quantum matter.Thus, the famous unconventional insulator-metal transition observed in UNiSn isalso a TI-to-WSM transition. Driven by a strong hybridization between Uf-electron multiplet transitions and band electrons, multiple energy gaps openup in the single-particle spectrum whose topological physics is revealed usingthe calculation of Z2 invariants in the strongly correlated regime. Asimplified physical picture of these phenomena is provided based on a periodicAnderson model of strong correlations and multiple band inversions that occurin this fascinating compound. Studying the topology of interacting electronsreveals interesting opportunities for finding new exotic phase transitions instrongly correlated systems.

Correlation Driven Topological Insulator-to-Weyl Semimetal Transition in Actinide System UNiSn