Multipole Susceptibility of Multiorbital Anderson Model Coupled with Jahn-Teller Phonons

Abstract

In order to clarify possible multipole states of Sm-based filled skutterudite compounds, we investigate multipole susceptibility of a multiorbital Anderson model dynamically coupled with Jahn-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 ${\Gamma }_{67}^{-}$ ($e_{\mathrm{u}}$) orbitals and Jahn-Teller phonons with $E_{\mathrm{g}}$ 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.

8 pages, 3 figures. Typeset with jpsj2.cls

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• Effect of Spin-Orbit Coupling on Kondo Phenomena in $f^7$-Electron Systems
• Microscopic analysis of multipole susceptibility of actinide dioxides: A scenario of multipole ordering in AmO${}_2$
• Multipole State of Heavy Lanthanide Filled Skutterudites
• Multipole as $f$-Electron Spin-Charge Density in Filled Skutterudites
• Construction of a Microscopic Model for Yb and Tm Compounds on the Basis of a $\mib{j}$-$\mib{j}$ Coupling Scheme
• Quadrupole Susceptibility of Gd-Based Filled Skutterudite Compounds