The temperature dependence of magnetic ordering in the heavy rare earth metals
The temperature dependence of magnetic ordering in the heavy rare earth metals
复制标题
重稀土金属磁有序的温度依赖性
DOI：
10.1088/0370-1328/84/1/310
复制
发表时间：
1964
期刊：
影响因子：
--
通讯作者：
F. Wedgwood
中科院分区：
文献类型：
--
作者：
R. Elliott;F. Wedgwood
在重稀土金属中观察到的磁阶波矢量q是在一个模型上计算的，该模型使用局域矩和假定为自由的传导电子之间的交换相互作用。对于有限阶数，能量间隙出现在与q相关的新布里渊“超带”边界的传导带中。费米表面被这些边界扭曲。系统的总能量在有限阶下计算，并相对于q最小化。对于小阶，这导致通常的Ruderman-Kittel结果，但随着阶数的增加，q在最小值处的值减小。对于Tm、Er和Ho的简单模型，与实验结果吻合较好，但对于自旋无序散射很重要的Dy和Tb模型则不太令人满意。这个模型的一个修正也解释了电阻率的行为。这表明真正的费米面就在布里渊带的平面六边形面内，并且它的一大片区域被磁有序破坏了。
The wave vector q of the magnetic order observed in the heavy rare earth metals is calculated on a model using an exchange interaction between the localized moments and the conduction electrons, assumed free. For a finite amount of order, energy gaps appear in the conduction bands at new Brillouin `superzone' boundaries associated with q. The Fermi surface is distorted by these boundaries. The total energy of the system is computed for finite order and minimized with respect to q. For small order this leads to the usual Ruderman-Kittel result, but as the order increases the value of q at the minimum decreases. The agreement with experiment is good for the simple model of Tm, Er and Ho, but less satisfactory in Dy and Tb where spin-disorder scattering is important. A modification of this model also accounts for the behaviour of the electrical resistivity. It indicates that the real Fermi surface lies just inside the plane hexagonal faces of the Brillouin zone, and that a large area of it is destroyed by the magnetic ordering.