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Weak ferromagnetism in Mn nanochains on the CuN surface

We investigate electronic and magnetic structures of the Mn chains supported on the CuN surface using first-principle LSDA and LDA+U calculations. The isotropic exchange integrals and anisotropic Dzyaloshinskii-Moriya interactions between Mn atoms are calculated using Green function formalism. It is shown that the account of lattice relaxation and on-site Coulomb interaction are important for accurate description of magnetic properties of the investigated nanosystems. We predict a weak ferromagnetism phenomenon in the Mn antiferromagnetic nanochains on the CuN surface. The value of a net magnetic moment and direction of spin canting are calculated. We show that some experimental features may be explained using anisotropic exchange interactions.