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We determined the parameters of a classical spin Hamiltonian describing an Femonolayer on Pd(111) surface with a Pt_{1-x}Ir_{x} alloy overlayer from abinitio calculations. While the ground state of the system is ferromagnetic forx=0.00, it becomes a spin spiral state as Ir is intermixed into the overlayer.Although the Dzyaloshinsky-Moriya interaction is present in the system, we willdemonstrate that the frustrated isotropic exchange interactions play aprominent role in creating the spin spiral state, and these frustratedcouplings lead to an attractive interaction between skyrmions at shortdistances. Using spin dynamics simulations, we show that under these conditionsthe individual skyrmions form clusters, and that these clusters remain stableat finite temperature.

Skyrmions with attractive interactions in an ultrathin magnetic film