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

Abstract

We investigate the ground-state properties of a one-dimensional $t_{2g}$-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.

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

References in corpus (5)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Spin-Orbit Integrated Ground State and Magnetic Anisotropy in Sr${}_2$IrO${}_4$
• Orbital ordering phenomena in $d$- and $f$-electron systems
• Deformation of SU(4) singlet spin-orbital state due to Hund's rule coupling

Cited by in corpus (2)

• Spin-Orbital Entangled Excitonic Insulators in $(t_{2g}{)}^4$ Correlated Electron Systems
• Spin-orbital state induced by strong spin-orbit coupling