Phys. Rev. Lett. 69, 836–839 (1992)Moriya’s anisotropic superexchange interaction, frustration, and Dzyaloshinsky’s weak ferromagnetismReceived 2 December 1991; published in the issue dated 3 August 1992 Moriya’s expression for the ringle-bond anisotropic superexchange interaction is shown to possess an overlooked hidden symmetry, isomorphic to the symmetry of the isotropic case. For the unfrustrated case, this symmetry results in a degeneracy of the macroscopic state, implying no unique value for the Dzyaloshinsky weak ferromagnetic moment. A unique value emerges from superexchange only when more than a single bond is considered and only as a result of frustration. This implies that the symmetric part of the superexchange anisotropy tensor must vary among the bonds. The results are particularly relevant for the spin anisotropies in La2CuO4. © 1992 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.69.836
DOI:
10.1103/PhysRevLett.69.836
PACS:
75.30.Et, 71.70.Ej, 75.30.Gw
See AlsoComment: W. Koshibae, Y. Ohta, and S. Maekawa, Comment on ‘‘Moriya’s anisotropic superexchange interaction, frustration, and Dzyaloshinsky’s weak ferromagnetism’’, Phys. Rev. Lett. 71, 467 (1993). Reply: L. Shekhtman, O. Entin-Wohlman, and Amnon Aharony, Shekhtman, Entin-Wohlman, and Aharony reply, Phys. Rev. Lett. 71, 468 (1993). |
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.