Multipole correlations of $t_{\rm 2g}$-orbital Hubbard model with spin-orbit coupling

Details Multipole correlations of $t_{\rm 2g}$-orbital Hubbard model with spin-orbit coupling Multipole correlations of $t_{\rm 2g}$-orbital Hubbard model with spin-orbit coupling

2011-01-11

arxiv.org/abs/1101.2055v1

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, 3 figures, To appear in J. Phys. Soc. Jpn. Suppl., Proceedings of ICHE2010 (September 17-20, 2010, Hachioji, Japan)

Scientific paper

We investigate the ground-state properties of a one-dimensional $t_{\rm 2g}$-orbital Hubbard model including an atomic spin-orbit coupling by using numerical methods, such as Lanczos diagonalization and density-matrix renormalization group. As the spin-orbit coupling increases, we find a ground-state transition from a paramegnetic state to a ferromagnetic state. In the ferromagnetic state, since the spin-orbit coupling mixes spin and orbital states with complex number coefficients, an antiferro-orbital state with complex orbitals appears. According to the appearance of the complex orbital state, we observe an enhancement of $\Gamma_{4u}$ octupole correlations.

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