Anisotropy of the paramagnetic susceptibility in LaTiO${}_3$: The electron-distribution picture in the ground state

Abstract

The energy-level scheme and wave functions of the titanium ions in LaTiO${}_3$ are calculated using crystal-field theory and spin-orbit coupling. The theoretically derived temperature dependence and anisotropy of the magnetic susceptibility agree well with experimental data obtained in an untwinned single crystal. The refined fitting procedure reveals an almost isotropic molecular field and a temperature dependence of the van Vleck susceptibility. The charge distribution of the 3d--electron on the Ti positions and the principle values of the quadrupole moments are derived and agree with NMR data and recent measurements of orbital momentum $<l>$ and crystal-field splitting. The low value of the ordered moment in the antiferromagnetic phase is discussed.

arXiv comment6 pages, 2 figures, 3 tables

References in corpus (15)

• Mott transition and suppression of orbital fluctuations in orthorhombic 3$d^1$ perovskites
• Orbital liquid in three dimensional Mott insulator: $LaTi{O}_3$
• Crystal and magnetic structure of LaTiO3 : evidence for non-degenerate $t_{2g}$-orbitals
• Spin Dynamics and Orbital State in LaTiO_3
• Orbital ordering and frustrations
• Orbital-Spin Structure and Coupling to Lattice in RTiO${}_3$ with R=La,Pr,Nd and Sm
• Order from disorder: Quantum spin gap in magnon spectra of LaTiO_3
• Evidence for Jahn-Teller distortions at the antiferromagnetic transition in LaTiO${}_3$
• Presence of 3d Quadrupole Moment in LaTiO3 Studied by 47,49Ti NMR
• Lattice Distortion and Magnetic Ground State of YTiO${}_3$ and LaTiO${}_3$
• Dielectric properties and dynamical conductivity of LaTiO3: From dc to optical frequencies
• Unusual Symmetries in the Kugel-Khomskii Hamiltonian
• Origin of G-type Antiferromagnetism and Orbital-Spin Structures in ${\mathrm{LaTiO}}_3$
• Damped orbital excitations in the titanates
• Landau Expansion for the Kugel-Khomskii $t_{2g}$ Hamiltonian

Cited by in corpus (4)

• Spin dynamics in the low-dimensional magnet TiOCl
• Anisotropic Exchange in $\mathbf{LiC}{\mathbf{u}}_2{\mathbf{O}}_2$
• The spin-wave spectrum of the Jahn-Teller system LaTiO3
• Magnetic resonance as an orbital state probe