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

スピン軌道相互作用のある$$t_{rm 2g}$$軌道縮退ハバード模型の多極子相間

大西 弘明  

Onishi, Hiroaki

We investigate multipole properties in the ground state of a $$t_{rm 2g}$$-orbital Hubbard model with the spin-orbit coupling, by exploiting numerical techniques. Here let us consider a one-dimensional chain along the $$x$$ direction with five electrons per site. Due to the spatial anisotropy of $$t_{rm 2g}$$ orbitals, $$xy$$ and $$zx$$ orbitals are active in the absence of the spin-orbit coupling. When the spin-orbit coupling is weak, spin and orbital are independent degrees of freedom at local level. With the increase of the spin-orbit coupling, the total angular momentum turns to give a good quantum state. The spin state changes from an antiferromagnetic state to a ferromagnetic state. Regarding the orbital state, the spin-orbit coupling would lead to a complex orbital state. In the presentation, we will discuss how the spin-orbital state can be understood from the viewpoint of multipole.

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パーセンタイル:20.2

分野:Physics, Multidisciplinary

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