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Ground state of $$S$$=1 zigzag spin-orbital chain

$$S$$=1ジグザグスピン軌道鎖の基底状態

大西 弘明  

Onishi, Hiroaki

We investigate ground-state properties of a $$t_{rm 2g}$$-orbital Hubbard model on a zigzag chain, by exploiting numerical techniques. The electron number per site is set to be two, leading to a local $$S$$=1 state. That is, the system is a Haldane system with active orbital degrees of freedom. We assume that the $$t_{rm 2g}$$ level is split into the $$a_{rm 1g}$$ ($$xy$$) and $$e_{rm g}$$ ($$yz,zx$$) levels due to the tetragonal crystalline electric field effect. With varying the level splitting, we observe a quantum phase transition that accompanies the change of the orbital state. We will report the detailed ground-state phase diagram and discuss the spin and orbital states. We will also discuss possible relevance of the obtained results to real compounds such as CaV$$_{2}$$O$$_{4}$$.

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