Magnetic ordering, orbital ordering, and resonant x-ray scattering in perovskite titanates

S. Ishihara, T. Hatakeyama, S. Maekawa

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)


The effective Hamiltonian for perovskite titanates is derived by taking into account the threefold degeneracy of t2g orbitals and the strong electron-electron interactions. The magnetic and orbital ordered phases are studied in the mean-field approximation applied to the effective Hamiltonian. A large degeneracy of the orbital states in the ferromagnetic phase is found in contrast to the case of the doubly degenerate eg orbitals. Lifting of this orbital degeneracy due to lattice distortions and spin-orbit coupling is examined. A general form for the scattering cross section of the resonant x-ray scattering is derived and is applied to the recent experimental results in YTiO3. The spin wave dispersion relation in the orbital ordered YTiO3 is also studied.

Original languageEnglish
Article number064442
Pages (from-to)644421-644429
Number of pages9
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number6
Publication statusPublished - 2002 Feb 1
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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