Abstract
We investigate the orbital ordering quantitatively for the spinel systems RV2O4 (R=Mg, Zn, Cd) in the viewpoint of single-ion physics through the method of diagonalization. Through the quantitative calculation, it is found that the spin-orbit (SO)coupling and the Jahn—Teller (JT) effect enable the orbital ordering under the conditions of negligible electron hopping among different V3+ sites. For the systems RV2O4, the electron hopping is implied to be observable from the energy gap in conductivity, so the orbital ordering of RV2O4 cannot be induced by the SO coupling and JT effect at definite temperature, which is on contrary to the conclusions in [Phys. Rev. Lett. 93 (2004) 157206].
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