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Multipole susceptibility of multiorbital Anderson model coupled with Jahn-Teller phonons

Hotta, Takashi

In order to clarify possible multipole states of Sm-based filled skutterudite compounds, we investigate multipole susceptibility of a multiorbital Anderson model dynamically coupled withJahn-Teller phonons by using a numerical renormalization group method. Here we take a procedure to maximize the multipole susceptibility matrix to determine the multipole state. When the electron-phonon coupling term is simply ignored, it is found that the dominant multipole state is characterized by 2u octupole for the $$Gamma_{67}^-$$ quartet ground state, while the low-temperature phase is governed by magnetic fluctuations for the $$Gamma_5^-$$ doublet ground state. When we include the coupling between $$f$$ electrons in degenerate $$Gamma_{67}^{-}$$ ($$e_{rm u}$$) orbitals and Jahn-Teller phonons with $$E_{rm g}$$ symmetry, the mixed multipole state with 4u magnetic and 5u octupole moments is found to be dominant with significant 3g quadrupole fluctuations at low temperatures.

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Category:Physics, Multidisciplinary

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