Manipulation of topological phase transitions and the mechanism of magnetic interactions in Eu-based Zintl-phase materials

Various topological phases, including topological insulators, topological semimetals, and topological superconductors, along with the controllable topological phase transitions, have attracted considerable attention due to their promising applications in spintronics and quantum computing. In this work, we propose two distinct methods for manipulating topological phase transitions in magnetic materials. First, by varying the strength of electron correlation effects, we induce a series of topological state transitions within the $\mathrm{Eu}{M}_{2}{X}_{2}$ ($M$ = Zn, Cd; $X$ = P, As, Sb) family of Zintl materials, including magnetic topological crystalline insulators (TCIs) and magnetic Dirac semimetals. Our findings indicate that strong electron correlation effects tend to influence the emergence of topological phases. Second, by reducing the electronegativity of the pnictogen $X$ (from P to As and Sb), we observe a similar transition from trivial insulator to magnetic Dirac semimetal or magnetic TCI. This suggests that weaker electronegativity favors the emergence of topological phases. Furthermore, we establish a Heisenberg model to describe the magnetic interactions of the $\mathrm{Eu}{M}_{2}{X}_{2}$ system, based on which we perform Monte Carlo simulations of specific heat and magnetic susceptibility, yielding N\'eel temperatures that perfectly match the experimental data. This suggests that the local magnetic moment framework provides an accurate description of the magnetization behavior in this family of materials. This work provides the potential for the experimental manipulation of topological phase transitions and their possible applications, while also enhancing the understanding of the magnetic interactions within the $\mathrm{Eu}{M}_{2}{X}_{2}$ system and offering a theoretical foundation for future applications in magnetism.