Multipole correlations in low-dimensional f-electron systems

Details Multipole correlations in low-dimensional f-electron systems Multipole correlations in low-dimensional f-electron systems

2005-11-11

arxiv.org/abs/cond-mat/0511276v1

J. Phys. Soc. Jpn. 75 Suppl., 266 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

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.

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