Abstract
The dynamics of the orbital degree of freedom in t 2g orbital systems, titanates and vanadates with perovskite structure, are investigated. The dispersion relation of the collective orbital excitations termed orbitons are studied in undoped vanadates RVO 3. A motion of a doped hole in orbital ordered states is investigated in the variational method. It is shown that the doped hole in the staggered orbital order with the ferromagnetic order is more mobile than that in the uniform orbital order with the antiferromagnetic one.
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