The magnetic structure of the Jahn-Teller System LaTiO3

Abstract

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.

21 pages, 6 figures

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Cited by in corpus (20)

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• Magnetoelastic coupling in RETiO3 (RE = La, Nd, Sm, Gd, Y)
• Combining DFT and Many-Body Methods to Understand Correlated Materials
• Lattice Distortion and Magnetism of 3d-$t_{2g}$ Perovskite Oxides
• Crystal-field splitting for low symmetry systems in ab initio calculations
• Momentum dependence of orbital excitations in Mott-insulating titanates
• Optical study of orbital excitations in transition-metal oxides
• Fingerprints of Spin-Orbital Physics in Crystalline O${}_2$
• Optical response of ferromagnetic YTiO_3 studied by spectral ellipsometry
• Orbital order, stacking defects and spin-fluctuations in the $p$-electron molecular solid RbO${}_2$
• Magnetism and local structure in low-dimensional, Mott insulating GdTiO3
• Superexchange Interactions in Orthorhombically Distorted Titanates RTiO3 (R= Y, Gd, Sm, and La)
• Theory of Raman and Resonant Inelastic X-ray Scattering from Collective Orbital Excitations in YTiO${}_3$
• The spin-wave spectrum of the Jahn-Teller system LaTiO3
• Strain-tunable metamagnetic critical endpoint in Mott insulating rare-earth titanates
• Orbital order, anisotropic spin couplings, and the spin-wave spectrum of the ferromagnetic Mott insulator YTiO3
• Magnetic resonance as an orbital state probe
• Strain driven sequential magnetic transitions in strained GdTiO3 on compressive substrates: a first-principles study
• Linear colossal magnetoresistance driven by magnetic textures in LaTiO3 thin films on SrTiO3
• Muon spin relaxation study of LaTiO3 and YTiO3