Abstract
We study topological phase transitions in tetragonal NaZnSb_{1-x}Bi_x, driven by the chemical composition x. Notably, we examine mirror Chern numbers that change without symmetry indicators. First-principles calculations are performed to show that NaZnSb_{1-x}Bi_x experiences consecutive topological phase transitions, diagnosed by the strong {mathbb {Z}}_2 topological index nu _{0} and two mirror Chern numbers mu _{x} and mu _{xy}. As the chemical composition x increases, the topological invariants (mu _{x}mu _{xy}nu _{0}) change from (000), (020), (220), to (111) at x = 0.15, 0.20, and 0.53, respectively. A simplified low-energy effective model is developed to examine the mirror Chern number changes, highlighting the central role of spectator Dirac fermions in avoiding symmetry indicators. Our findings suggest that NaZnSb_{1-x}Bi_{x} can be an exciting testbed for exploring the interplay between the topology and symmetry.
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