| Abstract: | We investigate the orbital ordering quantitatively for the spinel systems RV 2 O 4(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 V 3+ sites.For the systems RV 2 O 4,the electron hopping is implied to be observable from the energy gap in conductivity,so the orbital ordering of RV 2 O 4 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]. |
