How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator

Abstract

The concept of the entanglement between spin and orbital degrees of freedom plays a crucial role in understanding various phases and exotic ground states in a broad class of materials, including orbitally ordered materials and spin liquids. We investigate how the spin-orbital entanglement in a Mott insulator depends on the value of the spin-orbit coupling of the relativistic origin. To this end, we numerically diagonalize a 1D spin-orbital model with the 'Kugel-Khomskii' exchange interactions between spins and orbitals on different sites supplemented by the on-site spin-orbit coupling. In the regime of small spin-orbit coupling w.r.t. the spin-orbital exchange, the ground state to a large extent resembles the one obtained in the limit of vanishing spin-orbit coupling. On the other hand, for large spin-orbit coupling the ground state can, depending on the model parameters, either still show negligible spin-orbital entanglement, or can evolve to a highly spin-orbitally entangled phase with completely distinct properties that are described by an effective XXZ model. The presented results suggest that: (i) the spin-orbital entanglement may be induced by large on-site spin-orbit coupling, as found in the 5d transition metal oxides, such as the iridates; (ii) for Mott insulators with weak spin-orbit coupling of Ising-type, such as e.g. the alkali hyperoxides, the effects of the spin-orbit coupling on the ground state can, in the first order of perturbation theory, be neglected.

arXiv comment16 pages, 8 figures; accepted in Physical Review Research

References in corpus (72)

• Anyons in an exactly solved model and beyond
• Introducing Quantum Discord
• Concentrating Partial Entanglement by Local Operations
• Entanglement in quantum critical phenomena
• Topological entanglement entropy
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Scaling of Entanglement close to a Quantum Phase Transitions
• Correlated quantum phenomena in the strong spin-orbit regime
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• Models and Materials for Generalized Kitaev Magnetism
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Violation of the entropic area law for Fermions
• Universality of Entropy Scaling in 1D Gap-less Models
• Orbital order and fluctuations in Mott insulators
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• Spin-Orbital Separation in the quasi 1D Mott-insulator Sr2CuO3
• Singular Fermi Liquids
• SU(4) Theory for Spin Systems with Orbital Degeneracy
• Orbital liquid in three dimensional Mott insulator: $LaTi{O}_3$
• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• Spin Order due to Orbital Fluctuations: Cubic Vanadates
• Spin-orbital quantum liquid on the honeycomb lattice
• Higgs mode and its decay in a two dimensional antiferromagnet
• Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
• Non-local order in gapless systems: Entanglement Spectrum in Spin Chains
• Alternating Spin and Orbital Dimerization in Strong-coupling Two-band Models
• Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model
• SU(4) spin-orbit critical state in one dimension
• Non-Haldane Spin Liquid Models with Exact Ground States
• Spin-Orbital Entanglement and Violation of the Goodenough-Kanamori Rules
• Anisotropy of Mott-Hubbard gap transitions due to spin and orbital ordering in LaVO3 and YVO3
• Phase diagram of a 1 dimensional spin-orbital model
• Fingerprints of spin-orbital entanglement in transition metal oxides
• Square Lattice Iridates
• Dimerization versus Orbital Moment Ordering in the Mott insulator YVO${}_3$
• The Fermi surface of Sr2RuO4: spin-orbit and anisotropic Coulomb interaction effects
• Ordering of hidden multipoles in spin-orbital entangled 5$d^1$ Ta chlorides
• Spin--orbital interaction for face-sharing octahedra: Realization of a highly symmetric SU(4) model
• Theory of optical spectral weights in Mott insulators with orbital degrees of freedom
• Doping the holographic Mott insulator
• Magnetically Hidden Order of Kramers Doublets in $d^1$ Systems: Sr${}_2$VO${}_4$
• Intrinsic coupling of orbital excitations to spin fluctuations in Mott insulators
• Entanglement spectra of coupled S=1/2 spin chains in a ladder geometry
• Frustration and entanglement in the $t_{2g}$ spin--orbital model on a triangular lattice: valence--bond and generalized liquid states
• Entanglement entropy and multifractality at localization transitions
• Effective magnetic interactions in spin-orbit coupled $d^4$ Mott insulators
• Microscopic origin of spin-orbital separation in Sr2CuO3
• Phase diagram of S=1/2 two-leg XXZ spin ladder systems
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Fingerprints of Spin-Orbital Physics in Crystalline O${}_2$
• Noncollinear Magnetic Order Stabilized by Entangled Spin-Orbital Fluctuations
• Ground State and Excitations of Spin Chain with Orbital Degeneracy
• Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models
• Orbital control of effective dimensionality: from spin-orbital fractionalization to confinement in the anisotropic ladder system CaCu2O3
• Spin-orbital resonating valence bond liquid on a triangular lattice: Evidence from finite-cluster diagonalization
• Spin-Orbital Entanglement and Phase Diagram of Spin-orbital Chain with $SU(2)\times SU(2)$ Symmetry
• Fractionalization, entanglement, and separation: understanding the collective excitations in a spin-orbital chain
• Alternating spin-orbital order in tetragonal Sr2VO4
• Multicolored quantum dimer models, resonating valence-bond states, color visons, and the triangular-lattice t_2g spin-orbital system
• Elementary excitations in one-dimensional spin-orbital models: neutral and charged solitons and their bound states
• Anisotropic interactions opposing magnetocrystalline anisotropy in Sr${}_3$NiIrO${}_6$
• Role of the spin-orbit coupling in the Kugel-Khomskii model on the honeycomb lattice
• Quantum entanglement in the one-dimensional spin-orbital SU(2)$\otimes XXZ$ model
• Series study of the One-dimensional S-T Spin-Orbital Model
• Entanglement Driven Phase Transitions in Spin-Orbital Models
• Spin-Orbital Entangled Liquid State in the Copper Oxide Ba${}_3$CuSb${}_2$O${}_9$
• Intertwined Spin and Orbital Density Waves in MnP Uncovered by Resonant Soft X-ray Scattering
• Influence of multiplet structure on photoemission spectra of spin-orbit driven Mott insulators: application to $\mathbf{S}{\mathbf{r}}_2\mathbf{Ir}{\mathbf{O}}_4$
• Designing Quantum Spin-Orbital Liquids in Artificial Mott Insulators
• Magnon dressing by orbital excitations in ferromagnetic planes of K${}_2$CuF${}_4$ and LaMnO${}_3$
• Spin and orbital valence bond solids in a one-dimensional spin-orbital system: Schwinger boson mean field theory

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