Microscopic theory of multipole ordering in f-electron systems
Microscopic theory of multipole ordering in f-electron systems
复制标题
f电子系统中多极有序的微观理论
DOI：
10.1155/2012/762798
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Takashi Hotta
中科院分区：
文献类型：
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作者：
Hiroshi Yaguchi;Masashi Tokunaga;Akira Matsuo and Koichi KIndo;Takashi Hotta
在标准量子场论的基础上，给出了一个确定多极有序非电子系统的微观框架。为了构造框架，采用具有强自旋轨道耦合的七轨道Hubbard Hamilton作为原型模型。一种类型的多极和有序矢量确定多极磁化率的发散，这是在一个随机相位近似评估。作为本框架应用的一个例子，讨论了n = 2的三维简单立方晶格上的多极相图，其中表示每个位置的平均电子数。最后，对多极有序和涨落的未来问题进行了简要的讨论。
A microscopic framework to determine multipole ordering inf‐electron systems is provided on the basis of the standard quantum field theory. For the construction of the framework, a seven‐orbital Hubbard Hamiltonian with strong spin‐orbit coupling is adopted as a prototype model. A type of multipole and ordering vector is determined from the divergence of multipole susceptibility, which is evaluated in a random phase approximation. As an example of the application of the present framework, a multipole phase diagram on a three‐dimensional simple cubic lattice is discussed for the case ofn= 2, wherendenotes the averagef‐electron number per site. Finally, future problems concerning multipole ordering and fluctuations are briefly discussed.