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We predict the occurrence of a novel type of atomic-scale spin lattice in anFe monolayer on the Ir(001) surface. Based on density functional theorycalculations we parametrize a spin Hamiltonian and solve it numerically usingMonte-Carlo simulations. We find the stabilization of a three-dimensional spinstructure arranged on a 3x3 lattice. Despite an almost vanishing totalmagnetization we predict the emergence of a large anomalous Hall effect, towhich there is a significant topological contribution purely due to the realspace spin texture at the surface.

Novel type of atomic-scale spin lattice at a surface and its emergent Hall effect