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We have developed a high-throughput computational method to predict the superconducting transition temperature in stable hexagonal M$$_2$$ 2 AX phases, and applied it to all the known possible choices for M (M: Sc, Ti, V, Cr, Mn, Fe, Y, Zr, Nb, Mo, Lu, Hf and Ta). We combine this with the best candidates for A (A: Al, Cu, Ge and Sn ) and X (X: C and N) from our previous work, and predict T$$_c$$ c for 60 M$$_2$$ 2 AX-phase materials, 53 of which have never been studied before. From all of these, we identify Cr$$_2$$ 2 AlN as the best candidate for the highest T$$_c$$ c , and confirm its high T$$_c$$ c with more detailed density functional theory electron-phonon coupling calculations. Our detailed calculations predict $$T_c$$ T c = 14.8 K for Cr$$_2$$ 2 AlN, which is significantly higher than any $$T_c$$ T c value known or predicted for any material in the M$$_2$$ 2 AX family to date. |
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