Construction of a Microscopic Model for Yb and Tm Compounds on the Basis of a $\mathbf{ j}$–$\mathbf{ j}$ Coupling Scheme
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概要
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We provide a prescription to construct a microscopic model for heavy lanthanide systems such as Yb and Tm compounds by exploiting a $ j$–$ j$ coupling scheme. Here we consider a situation with a large spin–orbit coupling, in which $ j=5/2$ sextet is fully occupied, while $ j=7/2$ octet is partially occupied, where $ j$ denotes total angular momentum. We evaluate crystalline electric field potentials and Coulomb interactions among the states of the $ j=7/2$ octet to construct a local Hamiltonian in the $ j$–$ j$ coupling scheme. Then, it is found that the local f-electron states composed of the $ j=7/2$ octet agree quite well with those of seven f orbitals even for a realistic value of the spin–orbit coupling. As an example of the application of the present model, we discuss low-temperature multipole states of Yb- and Tm-based filled skutterudites by analyzing multipole susceptibility of the Anderson model in the $ j$–$ j$ coupling scheme with the use of a numerical renormalization group technique. From the comparison with the numerical results of the seven-orbital Anderson model, it is concluded that the multipole state is also well reproduced by the $ j$–$ j$ coupling model, even when we include the hybridization between conduction and f electrons for the realistic value of the spin–orbit coupling. Finally, we briefly discuss future applications of the present prescription for theoretical research on heavy lanthanide compounds.
- Physical Society of Japanの論文
- 2010-09-15
著者
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Hotta Takashi
Department Of Neurological Surgery Sapporo Medical College And Hospital
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Hotta Takashi
Department of Physics, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji, Tokyo 192-0397, Japan
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