Theory for high spin systems with orbital degeneracy

Abstract

High-spin systems with orbital degeneracy are studied in the large spin limit. In the absence of Hund's coupling, the classical spin model is mapped onto disconnected orbital systems with spins up and down, respectively. The ground state of the isotropic model is an orbital valence bond state where each bond is an orbital singlet with parallel spins, and neighbouring bonds interact antiferromagnetically. The possible relevance to the transition metal oxides are discussed.

4 page, three figures, to appear in Phys. Rev. Lett

References in corpus (1)

• Spin Order due to Orbital Fluctuations: Cubic Vanadates

Cited by in corpus (16)

• Magnetic neutron scattering study of YVO3: Evidence for an orbital Peierls state
• Spin-Orbital Entanglement and Violation of the Goodenough-Kanamori Rules
• Fingerprints of spin-orbital entanglement in transition metal oxides
• Dimerization versus Orbital Moment Ordering in the Mott insulator YVO${}_3$
• Theory of orbital state and spin interactions in ferromagnetic titanates
• Entropy Driven Dimerization in a One-Dimensional Spin-Orbital Model
• One-dimensional orbital fluctuations and the exotic magnetic properties of YVO${}_3$
• Hole dynamics in spin and orbital ordered vanadium perovskites
• Two-dimensional gapless spin liquids in frustrated SU(N) quantum magnets
• Charge and orbital order in transition metal oxides
• Quantum Phase Transitions in the One-Dimensional S=1 Spin-Orbital Model: Implications for Cubic Vanadates
• Theory for spin and orbital orderings in high temperature phase in $YV{O}_3$
• Orbital Ordering and Orbital Fluctuations in Transition Metal Oxides
• Spin and orbital valence bond solids in a one-dimensional spin-orbital system: Schwinger boson mean field theory
• Canted antiferromagnetism in a spin-orbit coupled $S_{\text{eff}}=3/2$ triangular-lattice magnet DyAuGe
• One-Dimensional S=1 Spin-Orbital Model with Uniaxial Single-Ion Anisotropy