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We study the electronic instabilities of newly predicted Ni-based high-$T_c$superconducting material La$_2$Ni$_2$Se$_2$O$_3$ based on the random phaseapproximation. Our calculations on the susceptibility indicate that thecollinear antiferromagnetic state in the parental compound is induced by theperfect Fermi surface nesting. Our further calculations reveal that the groundstates of the doped compound are the $s_{\pm}$- and $d_{xy}$-wavesuperconducting states driven by the antiferromagnetic spin fluctuationsenhanced by the quasi-nestings. Interestingly, the $s$- and $d$-wave pairingsoccur in the hole and electron doping cases, respectively. This doping-typedependence of the pairing symmetry can be understood from the doping dependenceof the nested Fermi pockets.

Doping-type-dependent pairing symmetry in predicted Ni-based high-$T_c$ superconductor La$_2$Ni$_2$Se$_2$O$_3$