A.C. NUNES. . . Magnetism in Nanoparticles:

Particles (a few nanometers in diameter) of some ferrites seem to have a magnetically anomalous surface layer about a nanometer thick. This layer also appears to be characterized by significant relaxation (expansion) arising from the different termination properties of the long range coulombic attractions and the short range repulsion between ions. This and the magnetoelasticity of the lattice may, at least in part, account for the magnetic anomaly.

Some papers on the subject: