$J$ -多联体之间的交换交互
Exchange interaction between $J$-multiplets
摘要：
基于一个完整的电子模型，导出了相互作用金属中心的$J$多重态之间的交换相互作用的解析表达式。人们普遍认为这种相互作用可以用各向同性形式$\propto {\mathbf{J}}_1\cdot{\mathbf{J}}_2$（或在与各向同性自旋相互作用的情况下用$\propto {\mathbf{J}}_1\cdot{\mathbf{S}}_2$）来近似，但这种看法是不成立的。它还表明，经常使用的“1/U近似”的动力学贡献的交换相互作用的描述是不有效的情况下，$J$ -多重峰。该理论可用于含镧系元素、锕系元素和某些过渡金属离子的材料中交换作用的微观描述。
英文摘要：
Analytical expressions for the exchange interaction between $J$-multiplets of interacting metallic centers are derived on the basis of a complete electronic model. A common belief that this interaction can be approximated by an isotropic form $\propto {\mathbf{J}}_1\cdot{\mathbf{J}}_2$ (or $\propto {\mathbf{J}}_1\cdot{\mathbf{S}}_2$ in the case of interaction with an isotropic spin) is found to be ungrounded. It is also shown that the often used "1/U approximation" for the description of the kinetic contribution of the exchange interaction is not valid in the case of $J$-multiplets. The developed theory can be used for microscopic description of exchange interaction in materials containing lanthanides, actinides and some transition metal ions.
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