Orbital moiré and quadrupolar triple-q physics in a triangular lattice
arXiv:2408.10953 · doi:10.1103/PhysRevResearch.6.L042068
Abstract
We numerically study orders of planer type quadrupoles on a triangular lattice with nearest-neighbor isotropic and anisotropic interactions. This type of quadrupoles possesses unique single-ion anisotropy proportional to a third order of the quadrupole moments. This provides an unconventional mechanism of triple- orders which does not exist for the degrees of freedom with odd parity under time-reversal operation such as magnetic dipoles. In addition to several single- orders, we find various orders including incommensurate triple- quasi-long-range orders with orbital moiré and a four-sublattice triple- partial order. Our Monte-Carlo simulations demonstrate that the phase transition to the latter triple- state belongs to the universality class of the critical line of the Ashkin-Teller model in two dimensions close to the four-state Potts class. These results indicate a possibility of realizing unique quadrupole textures in simple triangular systems.
arXiv comment19 pages, 13 figures
References in corpus (54)
- Skyrmion Lattice in a Chiral Magnet
- Exchange Monte Carlo Method and Application to Spin Glass Simulations
- Tuning superconductivity in twisted bilayer graphene
- Spontaneous Skyrmion Ground States in Magnetic Metals
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
- Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moiré Superlattice
- Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles
- Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
- Moiré heterostructures as a condensed matter quantum simulator
- Observation of Half Quantum Vortices in an Exciton-Polariton Condensate
- Analysis of Charge Order in the Kagome Metal VSb (K,Rb,Cs)
- Zero-field superconducting diode effect in small-twist-angle trilayer graphene
- High Thermoelectric Powerfactor in Single and Few-Layer MoS
- Half-vortices in polariton condensates
- Hidden Multiple-spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models
- Observation of Modulated Quadrupolar Structures in PrPb3
- Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
- Giant Orbital Magneto-electric effect and Current-driven Magnetization Switching in Twisted Bilayer Graphene
- Emergent topological spin structures in a centrosymmetric cubic perovskite
- Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
- Orbital degeneracy as a source of frustration in LiNiO
- Effect of TE-TM Splitting on the topological stability of half-vortices in exciton-polariton condensates
- Octupolar order in d-orbital Mott insulators
- Effective spin model in momentum space: Toward a systematic understanding of multiple- instability by momentum-resolved anisotropic exchange interactions
- Skyrmionic state and stable half-quantum vortices in chiral p-wave superconductors
- Nematic Skyrmions in Odd-Parity Superconductors
- Conventional and charge six superfluids from melting hexagonal Fulde-Ferrell-Larkin-Ovchinnikov phases in two dimensions
- Selective measurements of intertwined multipolar orders: non-Kramers doublets on a triangular lattice
- Exchange interactions, Jahn-Teller coupling, and multipole orders in pseudospin one-half Mott insulators
- From Early Theories of Dzyaloshinskii-Moriya Interactions in Metallic Systems to Today's Novel Roads
- Spin moiré engineering of topological magnetism and emergent electromagnetic fields
- Semi-classical simulation of spin-1 magnets
- Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate
- Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice
- Alternating twisted mutilayer graphene: generic partition rules, double flat bands, and orbital magnetoelectric effect
- Isolated Skyrmions in the nonlinear -model with a Dzyaloshinskii-Moriya type interaction
- Dipole and Quadrupole Skyrmions in S=1 (Pseudo)Spin Systems
- Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
- CP Skyrmions and Skyrmion Crystals in Realistic Quantum Magnets
- Electric Quadrupolar Contributions in the Magnetic Phases of UNiB
- Spin-Nematic Vortex States in Cold Atoms
- Quadrupole Orders on the fcc Lattice
- Topological Flat Bands in Graphene Super-moiré Lattices
- Triple- quadrupole-octupole order scenario for PrVAl
- Triple- partial magnetic orders induced by quadrupolar interactions: Triforce order scenario for UNiB
- Quadrupole partial orders and triple- states on the face-centered cubic lattice
- Anisotropic spin model and multiple- states in cubic systems
- Half - Quantum Vortices
- Critical Exponents of the Four-State Potts Model
- Multipolar Skyrmion Crystals in Non-Kramers Doublet Systems
- Multiple- dipole-quadrupole instability in spin-1 triangular-lattice systems
- Hybrid skyrmion and anti-skyrmion phases in polar systems
- Phase shift, ellipticity, angle, and topological number in skyrmion lattices
Cited by in corpus (4)
- Compatible Instability: Gauge Constraints of Elasticity Inherited by Electronic Nematic Criticality
- Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
- Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple- Multipole States
- L-point quadrupole order under magnetic field in cubic PrIrZn