Quantum Topological Phases Arising from the Weyl-Kondo Semimetal model​

In this study, we investigated the topological and quantum phases emerging in a strongly correlated electron system, using the Weyl-Kondo semimetal model, a nontrivial version of the periodic Anderson model of heavy fermion systems [1,2]. We implemented a self-consistent computational approach to solve the saddle-point equations and explored the parameter space of the Weyl-Kondo semimetal model. Our numerical results calculate the order parameters of the heavy Landau Fermi liquid phase, which provide insight into the stability of the novel quantum states in response to varying model parameters. In particular, we examined how the transition from a topological semimetal state to a trivial insulator state affects the Kondo coupling interactions between localized f-orbital electrons and conduction electrons.

Using our computational framework, we simulated the variation of spin-orbit coupling and other microscopic parameters on a noncentrosymmetric lattice to model the chemical substitution series Ce₃Bi₄(Pt_(1-x)Pd_x)₃ (0 ≤ x ≤ 1) studied in recent experimental work [3,4]. Through this analysis, we observe a topological phase transition between Kondo insulator and Weyl-Kondo semimetal states and identify the critical spin-orbit coupling point. Our work highlights the promotion of stronger correlations in the Weyl Kondo semimetal phase compared to the Kondo insulator phase. By connecting our computational findings with experimental observations, we provide a theoretical foundation for understanding the emergence of topological metals in strongly correlated systems. These computational results offer quantitative insight into how strong correlations shape the topological phase transition in the substitution series Ce₃Bi₄(Pt_(1-x)Pd_x)₃ [3] and Ce₃Bi₄(Ni_(1-x)Pd_x)₃ [4], demonstrating the crucial interplay between quantum phases and topological phases in strongly correlated heavy fermion systems.