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We studied the lattice constant and atoms substitution tunable topological phase transition in the half-Heusler compounds HfIrX (X=As, Sb, Bi). At the equilibrium cubic crystal structure and excluding SOC, HfIrAs and HfIrBi are topological nontrivial semimetal, while HfIrSb is a trivial topological insulator. This is because that the “internal pressure” lifts the s-type Γ1 band above p-type Γ5 bands...
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