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We present first-principle calculation of the on-site and nearest neighborCoulomb interaction strength of the Ni $d$ orbitals in bulk $LaNiO_{2}$, usingthe constrained Random Phase Approximation method. The nearest neighborcorrelation within Ni-O plane turns out to be more significant when consideringthe frequency dependent $U(\omega)$, which can be as strong as about 25\% ofthe on-site value at medium and high frequencies. The inter Ni-O plane nearestneighbor correlation is found to be the same strength as that within the Ni-Oplane, indicating the material is non-locally correlated also between the Ni-Oplanes.

cRPA calculation of on-site and nearest neighbor Coulomb interaction of $LaNiO_2$