Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-07-20
Phys. Rev. B 71, 144412 (2005); Phys. Rev. B 76, 059901 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
21 pages, 6 figures
Scientific paper
10.1103/PhysRevB.71.144412
We investigate the effect of the experimentally observed Jahn-Teller distortion of the oxygen octahedra in LaTiO3 on the magnetic exchange. We present a localized model for the effective hopping between nearest-neighbor Ti ions and the intra-site Coulomb interactions, based on a non-degenerate orbital ground state due to the static crystal field. The latter corresponds to an orbital order which recently has been confirmed experimentally. Using perturbation theory we calculate, in addition to the Heisenberg coupling, antisymmetric and symmetric anisotropy terms of the superexchange spin Hamiltonian which are caused by the spin-orbit interaction. Employing our superexchange Hamiltonian, we deduce the magnetic order at low temperatures which is found to be in good agreement with experiment.
Aharony Amnon
Entin-Wohlman Ora
Harris Brooks A.
Mueller-Hartmann Erwin
Schmitz Robert
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