A THEORY OF METALLIC FERROMAGNETISM AND ANTIFERROMAGNETISM ON ZENERS MODEL
A THEORY OF METALLIC FERROMAGNETISM AND ANTIFERROMAGNETISM ON ZENERS MODEL
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DOI：
10.1143/ptp.16.45
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发表时间：
1956-01-01
影响因子：
--
通讯作者：
KASUYA, T
中科院分区：
文献类型：
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作者：
KASUYA, T
齐纳指出了导电电子与未填充内层电子之间的交换作用(称为S-d相互作用)的铁磁性机制的重要性。特别是对于稀土金属，这种相互作用似乎是引起铁磁和反铁磁性的唯一机制。然而，齐纳的工作并不令人满意，因为他的模型是唯象的，而且不涉及反铁磁性和自旋波模型。本文在更严格的基础上考虑了S-d相互作用。在一定的近似下，d电子自旋之间存在长程交换型相互作用，并在一定条件下同时出现铁磁和反铁磁性。自旋波模的激发与短程交换力的普通模相同，即在小波矢量区，自旋波激发的能量与铁磁性的Q成正比，反铁磁性的Q成正比。铁磁性磁化强度随温度变化的T_3/2定律适用于很高的温度，这一结果与金属铁磁性的实验结果是一致的。
The importance to the mechanism of ferromagnetism of exchange interaction between conduction electrons and unfilled inner shell electrons (called s-d interaction) has been pointed out by Zener. Especially for rare earth metals, this interaction seems to be the only mechanism which can cause ferro- and antiferromagnetism. However Zener's works are unsatisfactory because his model is phenomenological and moreover does not involve antiferromagnetism and spin wave mode.Our paper considers this s-d interaction on a more rigorous basis. By a certain approximation, there appear long range exchange type interactions between d-electron spins and, in certain conditions both ferro- and antiferromagnetism appear. The excitations of spin wave modes are the same as those in the ordinary modes of the short range exchange force, viz, the energy of the spin wave excitations is proportional toq2for ferromagnetism andqfor antiferromagnetism in the region of small wave vectorq. TheT3/2law for the temperature dependence of the magnetization of ferromagnetism is applicable up to very high temperatures, and this result is in good agreement with the results of experiments on metallic ferromagnetism.