Large-J approach to strongly coupled spin-orbital systems

Abstract

We present a novel approach to study the ground state and elementary excitations in compounds where spins and orbitals are entangled by on-site relativistic spin-orbit interaction. The appropriate degrees of freedom are localized states with an effective angular momentum J. We generalize J to arbitrary large values while maintaining the delicate spin-orbital entanglement. After projecting the inter-site exchange interaction to the manifold of effective spins, a systematic 1/J expansion of the effective Hamiltonian is realized using the Holstein-Primakoff transformation. Applications to representative compounds Sr2IrO4 and particularly vanadium spinels AV2O4 are discussed.

4 pages, 2 figures

References in corpus (13)

• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Magnetic and orbital ordering in the spinel MnV2O4
• Structural, orbital, and magnetic order in vanadium spinels
• Orbital and spin chains in ZnV2O4
• Magnetic transition and orbital degrees of freedom in vanadium spinels
• Spin-Orbital Entanglement and Violation of the Goodenough-Kanamori Rules
• Orbital order in ZnV${}_2$O${}_4$
• Proposed Orbital Ordering in MnV2O4 from First-principles Calculations
• Dimerization versus Orbital Moment Ordering in the Mott insulator YVO${}_3$
• Orbital order in vanadium spinels
• One-dimensional orbital fluctuations and the exotic magnetic properties of YVO${}_3$
• Spin, Orbital and Charge Order at the Interface between Correlated Oxides
• Magnetic excitations in vanadium spinels

Cited by in corpus (13)

• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• The Challenge of Spin-Orbit-Tuned Ground States in Iridates
• Novel magnetism of Ir5+ ions in the double perovskite Sr2YIrO6
• Critical properties of the Kitaev-Heisenberg model
• Fingerprints of spin-orbital entanglement in transition metal oxides
• New Evidence for a Low-Temperature Magnetic Ground State in Double-Perovskite Iridates with Ir5+(5d4) Ions
• Noncoplanar magnetic ordering driven by itinerant electrons on the pyrochlore lattice
• Magnetic Excitations in Spin-Orbit Coupled $d^4$ Mott Insulator on Square Lattice
• Noncollinear Magnetic Order Stabilized by Entangled Spin-Orbital Fluctuations
• Quantum 120-degree model on pyrochlore lattice: orbital ordering in MnV2O4
• Evolution of the structural, magnetic and electronic properties of the triple perovskite Ba${}_3$CoIr${}_2$O${}_9$
• Orbital disorder induced by charge fluctuations in vanadium spinels
• Quantum criticality of vanadium chains with strong relativistic spin-orbit interaction