Anharmonic effects in magnetoelastic chains
  We describe a new mechanism leading to the formation of rational magnetization plateau phases, which is mainly due to the anharmonic spin-phonon coupling. This anharmonicity produces plateaux in the magnetization curve at unexpected values of the magnetization without explicit magnetic frustration in the Hamiltonian and without an explicit breaking of the translational symmetry. These plateau phases are accompanied by magneto-elastic deformations which are not present in the harmonic case. 
D.C. Cabra, C.J. Gazza, C.A. Lamas, H.D. Rosales
cond-mat.str-el