G-type antiferromagnetism and orbital ordering due to the crystal field from the rare-earth ions induced by the GdFeO_3-type distortion in RTiO_3 with R=La, Pr, Nd and Sm

dc.creatorMochizuki, Masahito
dc.creatorImada, Masatoshi
dc.date2003-12-10
dc.date2003-12-11
dc.date.accessioned2026-07-07T06:21:58Z
dc.date.available2026-07-07T06:21:58Z
dc.descriptionThe origin of the antiferromagnetic order and puzzling properties of LaTiO_3 as well as the magnetic phase diagram of the perovskite titanates are studied theoretically. We show that in LaTiO_3, the t_{2g} degeneracy is eventually lifted by the La cations in the GdFeO_3-type structure, which generates a crystal field with nearly trigonal symmetry. This allows the description of the low-energy structure of LaTiO_3 by a single-band Hubbard model as a good starting point. The lowest-orbital occupation in this crystal field stabilizes the AFM(G) state, and well explains the spin-wave spectrum of LaTiO_3 obtained by the neutron scattering experiment. The orbital-spin structures for RTiO_3 with R=Pr, Nd and Sm are also accounted for by the same mechanism. We point out that through generating the R crystal field, the GdFeO_3-type distortion has a universal relevance in determining the orbital-spin structure of the perovskite compounds in competition with the Jahn-Teller mechanism, which has been overlooked in the literature. Since the GdFeO_3-type distortion is a universal phenomenon as is seen in a large number of perovskite compounds, this mechanism may also play important roles in other compounds of this type.
dc.description20 pages, 15 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0312244
dc.identifierhttp://arxiv.org/abs/cond-mat/0312244
dc.identifierJ. Phys. Soc. Jpn. 73 (2004) 1833
dc.identifierdoi:10.1143/JPSJ.73.1833
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95772
dc.subjectStrongly Correlated Electrons
dc.titleG-type antiferromagnetism and orbital ordering due to the crystal field from the rare-earth ions induced by the GdFeO_3-type distortion in RTiO_3 with R=La, Pr, Nd and Sm
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