Orbital degeneracy as a source of frustration in LiNiO${}_2$

Abstract

Motivated by the absence of cooperative Jahn-Teller effect and of magnetic ordering in LiNiO${}_2$, a layered oxide with triangular planes, we study a general spin-orbital model on the triangular lattice. A mean-field approach reveals the presence of several singlet phases between the SU(4) symmetric point and a ferromagnetic phase, a conclusion supported by exact diagonalizations of finite clusters. We argue that one of the phases, characterized by a large number of low-lying singlets associated to dimer coverings of the triangular lattice, could explain the properties of LiNiO${}_2$, while a ferro-orbital phase that lies nearby in parameter space leads to a new prediction for the magnetic properties of NaNiO${}_2$.

arXiv comment18 pages, 17 figures

References in corpus (11)

• An RVB phase in the triangular lattice quantum dimer model
• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• SU(4) Theory for Spin Systems with Orbital Degeneracy
• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Direct Measurement of the Spin Hamiltonian and Observation of Condensation of Magnons in the 2D Frustrated Quantum Magnet Cs2CuCl4
• Thermodynamics of the one-dimensional SU(4) symmetric spin-orbital model
• Orbital ordering in frustrated Jahn-Teller systems
• Orbital frustration at the origin of the magnetic behavior in LiNiO2
• Orbitally Driven Spin Pairing in the 3D Non-Magnetic Mott Insulator BaVS3: Evidence from Single Crystal Studies
• Quantum Phase Transition in the SU(4) Spin-Orbital Model on the Triangular Lattice
• Planar spin exchange in LiNiO_2

Cited by in corpus (53)

• Spin-orbital quantum liquid on the honeycomb lattice
• Fingerprints of spin-orbital entanglement in transition metal oxides
• Spin--orbital interaction for face-sharing octahedra: Realization of a highly symmetric SU(4) model
• Orbital and spin physics in LiNiO2 and NaNiO2
• Frustration and entanglement in the $t_{2g}$ spin--orbital model on a triangular lattice: valence--bond and generalized liquid states
• Spin-Orbit Dimers and Non-Collinear Phases in $d^1$ Cubic Double Perovskites
• Classical dimers and dimerized superstructure in orbitally degenerate honeycomb antiferromagnet
• SU(4) Heisenberg model on the honeycomb lattice with exchange-frustrated perturbations: implications for twistronics and Mott insulators
• Spin-1/2 Triangular Lattice with Orbital Degeneracy in a Metallic Oxide Ag2NiO2
• Charge disproportionation and collinear magnetic order in the frustrated triangular antiferromagnet AgNiO2
• Noncollinear Magnetic Order Stabilized by Entangled Spin-Orbital Fluctuations
• Ordering and Spin Waves in NaNiO2 : A Stacked Quantum Ferromagnet
• Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids
• Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms
• Spin-Orbital Order Modified by Orbital Dilution in Transition Metal Oxides: From Spin Defects to Frustrated Spins Polarizing Host Orbitals
• Absence of Jahn-Teller transition in the hexagonal Ba3CuSb2O9 single crystal
• Spin-orbital resonating valence bond liquid on a triangular lattice: Evidence from finite-cluster diagonalization
• Thermodynamic and magnetic properties of the layered triangular magnet NaNiO2
• Entangled spin-orbital phases in the bilayer Kugel-Khomskii model
• Exploring the spin-orbital ground state of Ba3CuSb2O9
• Quantum phase transitions in exactly solvable one-dimensional compass models
• Exact solution for a quantum compass ladder
• Dimer phases in quantum antiferromagnets with orbital degeneracy
• Dynamical Jahn-Teller Effect in Spin-Orbital Coupled System
• Overcoming the Sign Problem at Finite Temperature: Quantum Tensor Network for the Orbital $e_g$ Model on an Infinite Square Lattice
• Stability of the spin-$1/2$ kagome ground state with breathing anisotropy
• Paraorbital ground state of trivalent Ni ion in LiNiO${}_2$ from DFT+DMFT calculations
• Orbital and spin ordering physics of the Mn${}_3$O${}_4$ spinel
• Novel Spin-Orbital Phases Induced by Orbital Dilution
• Tetramerization in a SU(4)-Heisenberg model on the honeycomb lattice
• Observation of the orbital quantum dynamics in the spin-1/2 hexagonal antiferromagnet Ba3CuSb2O9
• Exact spin-orbital separation in a solvable model in one dimension
• Spin-orbital order in undoped manganite LaMnO3 at finite temperature
• Charge and orbital order in transition metal oxides
• Anomalous temperature evolution of the internal magnetic field distribution in the charge-ordered triangular antiferromagnet AgNiO2
• Resonating Valence-Bond State in an Orbitally Degenerate Quantum Magnet with Dynamical Jahn-Teller Effect
• Spin--orbital physics in transition metal oxides
• Spin excitations in the antiferromagnet NaNiO2
• The emergence of Resonating Valence Bond physics in spin-orbital models
• Compass and Kitaev models -- Theory and Physical Motivations
• Spin-Orbital Entangled Liquid State in the Copper Oxide Ba${}_3$CuSb${}_2$O${}_9$
• Pinball liquid phase from Hund's coupling in frustrated transition metal oxides
• Multiorbital kinetic effects on charge ordering of frustrated electrons on the triangular lattice
• Mean-field Study of Charge, Spin, and Orbital Orderings in Triangular-lattice Compounds ANiO2 (A=Na, Li, Ag)
• Designing Quantum Spin-Orbital Liquids in Artificial Mott Insulators
• Magnon dressing by orbital excitations in ferromagnetic planes of K${}_2$CuF${}_4$ and LaMnO${}_3$
• Magnetic and orbital correlations in a two-site molecule
• Orbital moiré and quadrupolar triple-q physics in a triangular lattice
• Quantum Loop States in Spin-Orbital Models on the Honeycomb Lattice
• Spin-orbital liquid in Ba${}_3$CuSb${}_2$O${}_9$ stabilized by oxygen holes
• One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization
• Introduction to High-Temperature Superconductivity for Solid State Chemists
• Orbital polaron in double exchange ferromagnets