An anisotropic spin model of strong spin-orbit-coupled triangular antiferromagnets

Abstract

Motivated by the recent experimental progress on the strong spin-orbit-coupled rare earth triangular antiferromagnet, we analyze the highly anisotropic spin model that describes the interaction between the spin-orbit-entangled Kramers' doublet local moments on the triangular lattice. We apply the Luttinger-Tisza method, the classical Monte Carlo simulation, and the self-consistent spin wave theory to analyze the anisotropic spin Hamiltonian. The classical phase diagram includes the 120-degree state and two distinct stripe ordered phases. The frustration is very strong and significantly suppresses the ordering temperature in the regimes close to the phase boundary between two ordered phases. Going beyond the semiclassical analysis, we include the quantum fluctuations of the spin moments within a self-consistent Dyson-Maleev spin-wave treatment. We find that the strong quantum fluctuations melt the magnetic order in the frustrated regions. We explore the magnetic excitations in the three different ordered phases as well as in strong magnetic fields. Our results provide a guidance for the future theoretical study of the generic model and are broadly relevant for strong spin-orbit-coupled triangular antiferromagnets such as YbMgGaO4, RCd3P3, RZn3P3, RCd3As3, RZn3As3, and R2O2CO3.

12 pages, 10 figures, 1 table. Add two families of triangular antiferromagnets (RCd3P3, RZn3P3, RCd3As3, RZn3As3, R2O2CO3) that were discovered recently

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Cited by in corpus (123)

• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Field-tunable quantum disordered ground state in the triangular lattice antiferromagnet NaYbO${}_2$
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4
• Rare-earth chalcogenides: A large family of triangular lattice spin liquid candidate
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• NaYbS${}_2$ - a new planar spin-$\frac{1}{2}$ triangular-lattice magnet and putative spin liquid
• Gapless spin-liquid state in the structurally disorder-free triangular antiferromagnet NaYbO${}_2$
• Spin-glass ground state in a triangular-lattice compound YbZnGaO${}_4$
• Topography of Spin Liquids on a Triangular Lattice
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate YbMgGaO4
• Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
• Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
• Square skyrmion crystal in centrosymmetric itinerant magnets
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Quantum spin liquid in the Ising triangular-lattice antiferromagnet neodymium heptatantalate
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Spin liquids in geometrically perfect triangular antiferromagnets
• Spin excitations in the frustrated triangular lattice antiferromagnet NaYbO${}_2$
• Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO${}_4$
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Hierarchy of exchange interactions in the triangular-lattice spin-liquid YbMgGaO${}_4$
• Nearest-neighbor resonating valence bonds in YbMgGaO4
• Fractionalized excitations in the partially magnetized spin liquid candidate YbMgGaO4
• Nonreciprocal Magnon by Symmetric Anisotropic Exchange Interaction in Honeycomb Antiferromagnet
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Spin Supersolidity in Nearly Ideal Easy-axis Triangular Quantum Antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• The effect of spin-orbit coupling on the effective-spin correlation in YbMgGaO4
• Anisotropic magnetic property of single crystals $R$V${}_6$Sn${}_6$ ($R$ = Y, Gd - Tm, Lu)
• Ab initio guided minimal model for the "Kitaev" material BaCo${}_2$(AsO${}_4$)${}_2$: Importance of direct hopping, third-neighbor exchange and quantum fluctuations
• Experimental signatures of quantum and topological states in frustrated magnetism
• Detecting spin fractionalization in a spinon Fermi surface spin liquid
• Yb delafossites: unique exchange frustration of 4f spin 1/2 moments on a perfect triangular lattice
• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Hidden multipolar orders of dipole-octupole doublets on a triangular lattice
• Semiclassical ground-state phase diagram and multi-Q phase of a spin-orbit coupled model on triangular lattice
• Complete field-induced spectral response of the spin-1/2 triangular-lattice antiferromagnet CsYbSe${}_2$
• Crystal field Hamiltonian and anisotropy in KErSe2 and CsErSe2
• Field-Induced Spin Excitations in the Spin-1/2 Triangular-Lattice Antiferromagnet CsYbSe${}_2$
• Selective measurements of intertwined multipolar orders: non-Kramers doublets on a triangular lattice
• Realization of Quantum Dipoles in Triangular Lattice Crystal Ba3Yb(BO3)3
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Finite-temperature behavior of a classical spin-orbit-coupled model for ${\text{YbMgGaO}}_4$ with and without bond disorder
• Synthesis, magnetization and heat capacity of triangular lattice materials NaErSe${}_2$ and KErSe${}_2$
• Ground state phase diagram of dipolar-octupolar pyrochlores
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Single-site magnetic anisotropy governed by inter-layer cation charge imbalance in triangular-lattice AYbX${}_2$
• Synthesis and Anisotropic Magnetism in Quantum Spin Liquid Candidates $A$YbSe${}_2$ ($A$ = K and Rb)
• Effective Magnetic Hamiltonian at Finite Temperatures for Rare Earth Chalcogenides
• Anisotropic exchange coupling and ground state phase diagram of Kitaev compound YbOCl
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Long-range magnetic order in the $\tilde{S}=1/2$ triangular lattice antiferromagnet KCeS${}_2$
• The two-dimensional metallic triangular lattice antiferromagnet CeCd3P3
• NMR study of the spin excitations in the frustrated antiferromagnet Yb(BaBO${}_3$)${}_3$ with a triangular lattice
• Magnetic field effects on the quantum spin liquid behaviors of NaYbS${}_2$
• Spinon magnetic resonance of quantum spin liquids
• Possible gapless spin liquid in a rare-earth kagomé lattice magnet Tm${}_3$Sb${}_3$Zn${}_2$O${}_{14}$
• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Systematic extraction of crystal electric-field effects and quantum magnetic model parameters in triangular rare-earth magnets
• Quantum Spin Dynamics Due to Strong Kitaev Interactions in the Triangular-Lattice Antiferromagnet CsCeSe${}_2$
• Magnetic properties of triangular lattice antiferromagnets Ba3RB9O18 (R = Yb, Er)
• Spin excitations in the quantum dipolar magnet Yb(BaBO${}_3$)${}_3$
• Rare-Earth Chalcogenides: An Inspiring Playground For Exploring Frustrated Magnetism
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• A Candidate for the Quantum Spin Liquid Ground-State in the Shastry-Sutherland Lattice Material Yb${}_2$Be${}_2$GeO${}_7$
• Mechanism of the insulator-to-metal transition and superconductivity in the spin liquid candidate NaYbSe${}_2$ under pressure
• Honeycomb rare-earth magnets with anisotropic exchange interactions
• Fingerprinting Triangular-Lattice Antiferromagnet by Excitation Gaps
• Unravelling the signatures of effective spin 1/2 moments in CeVO4: Magnetization and Heat Capacity study
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Antiferromagnetism and crystalline-electric field excitations in tetragonal NaCeO2
• Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$
• Persistent spin dynamics and absence of spin freezing in the $H$-$T$ phase diagram of the 2D triangular antiferromagnet YbMgGaO${}_4$
• Exchange renormalized crystal field excitation in a quantum Ising magnet KTmSe${}_2$
• Crystal-electric-field excitations in a quantum-spin-liquid candidate NaErS${}_2$
• Topological Hybrids of Magnons and Magnon Bound Pairs
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Frustrated Magnetism in Triangular Lattice TlYbS${}_2$ Crystals Grown via Molten Flux
• Phase Diagram of YbZnGaO4 in Applied Magnetic Field
• Long-range magnetic order in the anisotropic triangular lattice system CeCd3As3
• Magnetic Order with Fractionalized Excitations: Applications to ${\mathrm{Yb}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$
• Spin-Liquid-Like State in Pure and Mn-Doped TbInO3 with Nearly Triangular Lattice
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Stripe magnetic order and field-induced quantum criticality in the perfect triangular-lattice antiferromagnet CsCeSe${}_2$
• Spin-wave dynamics in the KCeS2 delafossite: A theoretical description of powder inelastic neutron-scattering data
• Magnetism of $\mathrm{NaYb}{\mathrm{S}}_2$: From finite temperatures to ground state
• Stripe order and spin dynamics in triangular-lattice antiferromagnet KErSe${}_2$: A single-crystal study with a theoretical description
• Phase diagram and topological phases in the triangular lattice Kitaev-Hubbard model
• The influence of crystalline electric field on the magnetic properties of CeCd3X3 (X = P and As)
• Constraining the Parameter Space of a Quantum Spin Liquid Candidate in Applied Field with Iterative Optimization
• Spin dynamics in the Dirac $U(1)$ spin liquid YbZn${}_2$GaO${}_5$
• $\text{Ab initio}$ prediction of a two-dimensional variant of the iridate IrO${}_2$
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Reinvestigation of the homogeneous spin model in YbMgGaO${}_4$
• BaCo${}_2$(AsO${}_4$)${}_2$: Strong Kitaev, After All
• Deriving quantum spin model for a zigzag-chain ytterbium magnet with anisotropic exchange interactions
• Quadrupole moments and their interactions in the triangular lattice antiferromagnet FeI${}_2$
• Projected entangled pair states study of anisotropic-exchange magnets on triangular lattice
• Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets
• Emergent Halperin-Saslow mode and Gauge Glass in quantum Ising magnet TmMgGaO${}_4$
• Canted antiferromagnetism in a spin-orbit coupled $S_{\text{eff}}=3/2$ triangular-lattice magnet DyAuGe
• Effective Model for Rare-earth Kitaev Materials and its Classical Monte Carlo Simulation
• Dominant Kitaev interaction and field-induced quantum phase transitions in triangular-lattice KCeSe2
• Interleaved bond frustration in a triangular lattice antiferromagnet
• Universal excitonic superexchange in spin-orbit-coupled Mott insulators
• Finite Temperature Magnetism in the Triangular Lattice Antiferromagnet KErTe2
• Magnetically disordered ground state in the triangular-lattice antiferromagnets Rb${}_3$Yb(VO${}_4$)${}_2$ and Cs${}_3$Yb(VO${}_4$)${}_2$
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Interplay of short-range bond order and A-type antiferromagnetic order in metallic triangular lattice GdZn${}_3$P${}_3$
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Dynamical scaling behavior of the two-dimensional random singlet state in the random $Q$ model
• Emergent Dispersive Multipolar Excitations in NaErSe${}_2$
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• Magnetic-Field Dependence of Paramagnetic Properties Investigated by 63/65Cu-NMR on the Yb Zigzag-Chain Semiconductor YbCuS2
• Spin-orbital magnetism in moiré Wigner molecules
• Hidden frustration in the triangular-lattice antiferromagnet NdCd3P3
• Skyrmion generation via Laguerre-Gaussian beam irradiation in frustrated magnets
• Field-induced multipolar character in the dipolar ground state of the honeycomb rare-earth chalcohalide NdOF