Orbital Wave and its Observation in Orbital Ordered Titanates and Vanadates

Abstract

We present a theory of the collective orbital excitation termed orbital wave in perovskite titanates and vanadates with the triply degenerate $t_{2g}$ orbitals. The dispersion relations of the orbital waves for the orbital ordered LaVO${}_3$, YVO${}_3$ and YTiO${}_3$ are examined in the effective spin-orbital coupled Hamiltonians associated with the Jahn-Teller type couplings. We propose possible scattering processes for the Raman and inelastic neutron scatterings from the orbital wave and calculate the scattering spectra for titanates and vanadates. It is found that both the excitation spectra and the observation methods of the orbital wave are distinct qualitatively from those for the $e_g$ orbital ordered systems.

9 pages, 7 figures

References in corpus (8)

• Magnetic neutron scattering study of YVO3: Evidence for an orbital Peierls state
• Magnetic Order and Dynamics in an Orbitally Degenerate Ferromagnetic Insulator
• Anisotropy of Mott-Hubbard gap transitions due to spin and orbital ordering in LaVO3 and YVO3
• Quantum behavior of Orbitals in Ferromagnetic Titanates: Novel Orderings and Excitations
• One-Dimensional Confinement and Enhanced Jahn-Teller Instability in LaVO${}_3$
• Anisotropic Optic Conductivities due to Spin and Orbital Orderings in LaVO3 and YVO3: First-Principles Studies
• Entropy Driven Dimerization in a One-Dimensional Spin-Orbital Model
• Damped orbital excitations in the titanates

Cited by in corpus (21)

• Orbital Physics in the Perovskite Ti Oxides
• Neutron diffraction study of YVO3, NdVO3, and TbVO3
• Momentum dependence of orbital excitations in Mott-insulating titanates
• Optical study of orbital excitations in transition-metal oxides
• Microscopic origin of spin-orbital separation in Sr2CuO3
• Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models
• One-dimensional orbital fluctuations and the exotic magnetic properties of YVO${}_3$
• Orbital superexchange and crystal field simultaneously at play in YVO3: resonant inelastic x-ray scattering at the V L edge and the O K edge
• Collective orbital excitations in orbitally ordered YVO3 and HoVO3
• Hole dynamics in spin and orbital ordered vanadium perovskites
• Vibronic Excitation Dynamics in Orbitally Degenerate Correlated Electron System
• Fingerprints of spin-orbital polarons and of their disorder in the photoemission spectra of doped Mott insulators with orbital degeneracy
• SU($N$) spin-wave theory: Application to spin-orbital Mott insulators
• Effect of cation size variance on spin and orbital order in Eu${}_{1-x}$(La${}_{0.254}$Y${}_{0.746}$)${}_x$VO${}_3$
• Theory of Raman and Resonant Inelastic X-ray Scattering from Collective Orbital Excitations in YTiO${}_3$
• Material-based analysis of spin-orbital Mott insulators
• Coupling of phonons with orbital dynamics and magnetism in CuSb${}_2$O${}_6$
• Resonant inelastic x-ray scattering study of doping and temperature dependence of low-energy excitations in La${}_{1-x}$Sr${}_x$VO${}_3$
• Dynamics of photo-induced ferromagnetism in oxides with orbital degeneracy
• Lattice and magnetic dynamics in YVO${}_3$ Mott insulator studied by neutron scattering and first-principles calculations
• Spectroscopy of the frustrated quantum antiferromagnet Cs${}_2$CuCl${}_4$