Multipole correlations in low-dimensional f-electron systems

Abstract

By using a density matrix renormalization group method, we investigate the ground-state properties of a one-dimensional three-orbital Hubbard model on the basis of a j-j coupling scheme. For $B_4^0\ne 0$, where $B_4^0$ is a parameter to control cubic crystalline electric field effect, one orbital is itinerant, while other two are localized. Due to the competition between itinerant and localized natures, we obtain orbital ordering pattern which is sensitive to $B_4^0$, leading to a characteristic change of ${\Gamma }_{3g}$ quadrupole state into an incommensurate structure. At $B_4^0=0$, all the three orbitals are degenerate, but we observe a peak at $q=0$ in ${\Gamma }_{3g}$ quadrupole correlation, indicating a ferro-orbital state, and the peak at $q=\pi$ in ${\Gamma }_{4u}$ dipole correlation, suggesting an antiferromagnetic state. We also discuss the effect of ${\Gamma }_{4u}$ octupole on magnetic anisotropy.

4 pages, 3 figures, Proceedings of ASR-WYP-2005 (September 27-29, 2005, Tokai)

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Cited by in corpus (4)

• Effective Crystalline Electric Field Potential in a j-j Coupling Scheme
• Multipole Susceptibility of Multiorbital Anderson Model Coupled with Jahn-Teller Phonons
• Antiferro-quadrupole state of orbital-degenerate Kondo lattice model with f^2 configuration
• Multipole correlations of $t_{2g}$-orbital Hubbard model with spin-orbit coupling