Dzyaloshinskii-Moriya interaction in the cuprates

The Dzyaloshinskii-Moriya interaction, which arises from a mixture of superexchange and spin-orbit coupling NN Cu2+ spin with a term of the Dij(Si×Sj). The coupling constants Dij are estimated for several cuprate crystal structures. The pattern of the Dij varies considerably between these structures and only in some cases causes a weak ferromagnetic component in an ordered antiferromagnetic of the Cu spins. In no case, however, does this interaction stabilize a flux phase. © 1991 The American Physical Society.