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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Antisymmetric exchange ： ウィキペディア英語版 Antisymmetric exchange The antisymmetric exchange is a contribution to the total magnetic exchange interaction between two neighboring magnetic spins, $\backslash mathbf\_i$ and $\backslash mathbf\_j$. It was first postulated by Igor Dzyaloshinskii on the grounds of phenomenological considerations based on Landau theory.〔I. Dzyaloshinskii, Journal of Physics and Chemistry of Solids 4, 241 (1958)〕 Toru Moriya identified the spin-orbit coupling as microscopic mechanism of the antisymmetric exchange interaction.〔T. Moriya, Physical Review 120, 91 (1960).〕 It can be written as $$ H_=\mathbf_ \cdot ( \mathbf_i \times \mathbf_j ) . This term is also called Dzyaloshinskii-Moriya interaction. In magnetically ordered systems, it favors a spin canting of otherwise (anti)parallel aligned magnetic moments and thus, e.g., is a source of weak ferromagnetic behavior in an antiferromagnet. The orientation of the vector $\backslash mathbf\_$ is constrained by symmetry, as discussed already in Moriya’s original publication. Considering the case that the magnetic interaction between two neighboring ions is transferred via a single third ion (ligand) by the superexchange mechanism (see Figure), the orientation of $\backslash mathbf\_$ is obtained by the simple relation $\backslash mathbf\_\; \backslash propto\; \backslash mathbf\_i\; \backslash times\; \backslash mathbf\_j\; =\; \backslash mathbf\_\; \backslash times\; \backslash mathbf$.〔F. Keffer, Physical Review 126, 896(1962).〕〔S.-W. Cheong and M. Mostovoy, Nature Materials 6, 13 (2007).〕 This implies that $\backslash mathbf\_$ is oriented perpendicular to the triangle spanned by the involved three ions. $\backslash mathbf\_\; =\; 0$ if the three ions are in line. The antisymmetric exchange is of importance for the understanding of magnetism induced electric polarization in a recently discovered class of multiferroics: Here, small shifts of the ligand ions can be induced by magnetic ordering, because the systems tends to enhance the magnetic interaction energy on the cost of lattice energy. This mechanism is called “inverse Dzyaloshinskii-Moriya effect”. In certain magnetic structures, all ligand ions are shifted into the same direction, leading to a net electric polarization (). == References == 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Antisymmetric exchange」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.