Theoretical investigation of superconductivity in trilayer square-planar nickelates
The discovery of superconductivity in Sr-doped NdNiO 2 is a crucial breakthrough in the long pursuit for nickel oxide materials with electronic and magnetic properties similar to those of the cuprates. NdNiO 2 is the infinite-layer member of a family of square-planar nickelates with general chemical formula R n +1 Ni n O 2 n +2 (R = La, Pr, Nd, n = 2, 3,...∞). In this Rapid Communication, we investigate superconductivity in the trilayer member of this series (R4Ni 3 O 8 ) using a combination of first-principles and $\textit{t–J}$ model calculations. R 4 Ni 3 O 8 compounds resemble cuprates more than RNiO 2 materials in that only Ni-d n 2 – y 2 bands cross the Fermi level, they exhibit a largely reduced charge transfer energy, and as a consequence superexchange interactions are significantly enhanced. In this work, we find that the superconducting instability in doped R 4 Ni 3 O 8 compounds is considerably stronger with a maximum gap about four times larger than that in Sr 0.2 Nd 0.8 NiO 2 .