Moriya’s anisotropic superexchange interaction, frustration, and Dzyaloshinsky’s weak ferromagnetism

L. Shekhtman, O. Entin-Wohlman, and Amnon Aharony
Phys. Rev. Lett. 69, 836 – Published 3 August 1992
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Abstract

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.

  • Received 2 December 1991

DOI:https://doi.org/10.1103/PhysRevLett.69.836

©1992 American Physical Society

Authors & Affiliations

L. Shekhtman, O. Entin-Wohlman, and Amnon Aharony

  • School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel

Comments & Replies

Comment on ‘‘Moriya’s anisotropic superexchange interaction, frustration, and Dzyaloshinsky’s weak ferromagnetism’’

W. Koshibae, Y. Ohta, and S. Maekawa
Phys. Rev. Lett. 71, 467 (1993)

Shekhtman, Entin-Wohlman, and Aharony reply

L. Shekhtman, O. Entin-Wohlman, and Amnon Aharony
Phys. Rev. Lett. 71, 468 (1993)

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Issue

Vol. 69, Iss. 5 — 3 August 1992

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