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Superconductivity in a multiorbital model for the $$Gamma_3$$ crystalline electric field state

$$Gamma_3$$結晶場状態に対する多軌道模型の超伝導

久保 勝規

Kubo, Katsunori

A cubic system with the $$Gamma_3$$ cubic crystalline electric field (CEF) state is an ideal system to investigate multipole physics, since it does not have dipole but has higher-order multipoles such as quadrupole and octupole. In addition, superconductivity has been observed in PrT$$_2$$X$$_{20}$$ (T = Ir, Rh, X = Zn; T = Ti, V, X = Al) systems with the $$Gamma_3$$ CEF ground state. To approach these phenomena theoretically, we consider a model composed of f electrons with the total angular momentum $$j=5/2$$. From this model, we have derived multipole interactions for the $$Gamma_3$$ systems. In the present study, we investigate superconductivity in the same model. We apply random phase approximation for superconductivity in a multiorbital system to the present model. Then, we have obtained a d-wave spin-singlet state. We will discuss the relevance of the present theory to the PrT$$_2$$X$$_{20}$$ superconductors.

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