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We predict the magnetic and electronic properties of a novel metal-organicframework. By combining density functional theory and density matrixrenormalization group approaches, we find the diatomic Kagome crystal structureof the metal-semiquinoid framework (H$_2$NMe$_2$)$_2$M$_2$(Cl$_2$dhbq)$_3$ (M =Ti, V, Cr, Mn, Fe, Co, Ni, Cu, and Zn) to host a rich variety ofantiferromagnetic (AFM) and ferromagnetic (FM) Dirac semimetallic,spin-polarized Dirac fermions, and flat band magnetic insulators and metallicphases. Concomitantly, the spin excitation spectrum of the various magneticsystems display multiple Dirac-like and nodal-ring crossings. This suggeststhat the metal-semiquinoid system is an ideal platform for examining theintertwining of Dirac fermions and magnons.

Coexistence of Dirac Fermions and Magnons in a Layered Two-Dimensional Semiquinoid Metal-Organic Framework