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Using the first-principles and Monte Carlo methods, here we systematicallystudy magnetic properties of monolayer octagonal-tetragonal phosphorus with 3dtransition-metal (TM) adatoms. Different from the puckered hexagonal blackphosphorus monolayer (phosphorene or $\alpha$-P), the octagonal-tetragonalphase of 2D phosphorus (named as ot-P or $\epsilon$-P in this article) isbuckled with octagon-tetragon structure. Our calculations show that all TMs,except the closed-shell Zn atom, are able to strongly bind onto monolayer$ot$-P with significant binding energies. Local magnetic moments (up to 6$\mu$B) on adatoms of Sc, Ti, V, Cr, Mn, Fe and Co originate from the exchangeand crystal-field splitting of TM 3d orbitals. The magnetic coupling betweenlocalized magnetic states of adatoms is dependent on adatomic distances anddirections. Lastly, the uniformly magnetic order is investigated to screeningtwo-dimensional dilute ferromagnets with high Curie temperature forapplications of spintronics. It is found that ot-P with V atoms homogeneouslyadsorbed at the centre of octagons with a concentration of 5% has the moststable ferromagnetic ground state. Its Curie temperature is estimated to be 173K using the Monte Carlo method.

Magnetic Properties of Transition-Metal Adsorbed ot-Phosphorus Monolayer: A First-principles and Monte Carlo Study