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Magnetism in 2D networks of the acetylene-bridged transition metal porphyrinsM(P)-2(C-C)-2 (denoted P-TM), and oxo-TM-porphyrins OM(P)-2(C-C)-2 (denotedP-TMO), is studied with the density functional theory (DFT) and theself-interaction corrected pseudopotential scheme (pSIC). Addition of oxygenlowers magnetism of P-TMO with respect to the corresponding P-TM for most ofthe first-half $3d$-row TMs. In contrast, binding O with the second-half$3d$-row TMs or Sc increases the magnetic moments. Ferrimagnetism is found forthe porphyrin networks with the TMs from V to Co and also for these cases withoxygen. This is a long-range effect of the delocalized spin-polarization,extended even to the acetylene bridges.

Ferrimagnetism in 2D networks of porphyrin-X and -XO (X=Sc,...,Zn) with acetylene bridges