Exchange engineering in 3d chains adsorbed on Cu${}_2$N/Cu(001)

Covalent substrates can give rise to a variety of magnetic interaction mechanisms among adsorbed transition metal atoms building atomic nanostructures. We show this by calculating the ground state magnetic configuration of monoatomic 3d chains deposited on a monolayer of Cu${}_2$N grown on Cu(001) as a function of $d$ filling and of adsorption sites of the one dimensional nanostructures.