Hidden multipolar orders of dipole-octupole doublets on a triangular lattice

Abstract

Motivated by the recent development in strong spin-orbit-coupled materials, we consider the dipole-octupole doublets on the triangular lattice. We propose the most general interaction between these unusual local moments. Due to the spin-orbit entanglement and the special form of its wavefunction, the dipole-octupole doublet has a rather peculiar property under the lattice symmetry operation. As a result, the interaction is highly anisotropic in the pseudospin space, but remarkably, is uniform spatially. We analyze the ground state properties of this generic model and emphasize the hidden multipolar orders that emerge from the dipolar and octupolar interactions. We clarify the quantum mutual modulations between the dipolar and octupolar orders. We predict the experimental consequences of the multipolar orders and propose the rare-earth triangular materials as candidate systems for these unusual properties.

arXiv comment5+3 pages, 3+2 figures

References in corpus (40)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquids
• Correlated quantum phenomena in the strong spin-orbit regime
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Mott physics and band topology in materials with strong spin-orbit interaction
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Quantum Excitations in Quantum Spin Ice
• Supersolid hardcore bosons on the triangular lattice
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice
• Exotic phases induced by strong spin-orbit coupling in ordered double perovskites
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• An anisotropic spin model of strong spin-orbit-coupled triangular antiferromagnets
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Spin-orbit coupling in $d^2$ ordered double perovskites
• Spin-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• Hastatic Order in URu2Si2
• Tetrahedral Magnetic Order and the Metal-Insulator Transition in the Pyrochlore Lattice of Cd2Os2O7
• Candidate Quantum Spin Liquid in the Ce\textsuperscript{3+} Pyrochlore Stannate Ce${}_2$Sn${}_2$O${}_7$
• Investigation of the magnetic structure and crystal field states of pyrochlore antiferromagnet Nd2Zr2O7
• Fluctuations and all-in$-$all-out ordering in dipole-octupole Nd2Zr2O7
• The phase diagram of the antiferromagnetic XXZ model on the triangular lattice
• Observation of long range magnetic ordering in pyrohafnate Nd2Hf2O7: A neutron diffraction study
• Magnetically Hidden Order of Kramers Doublets in $d^1$ Systems: Sr${}_2$VO${}_4$
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Structural and Magnetic Investigations of Single-Crystals of the Neodymium Zirconate Pyrochlore, Nd2Zr2O7
• Nd2Sn2O7: an all-in-all-out pyrochlore magnet with no divergence-free field and anomalously slow paramagnetic spin dynamics
• The effect of spin-orbit coupling on the effective-spin correlation in YbMgGaO4
• Quantum order by disorder in the Kitaev model on a triangular lattice
• Highly-anisotropic exchange interactions of $j_{\mathrm{eff}}=1/2$ iridium moments on the fcc lattice in La${}_{2}B$IrO${}_6$ ($B$ $=$ Mg, Zn)
• Order-by-disorder and magnetic field response in Heisenberg-Kitaev model on a hyperhoneycomb lattice
• Hastatic Order in URu2Si2 : Hybridization with a Twist
• Anomalous magnetic phase in an undistorted pyrochlore oxide Cd2Os2O7 induced by geometrical frustration
• Necessity of Time-Reversal Symmetry Breaking for the Polar Kerr Effect in Linear Response

Cited by in corpus (41)

• Rare-earth chalcogenides: A large family of triangular lattice spin liquid candidate
• Topological spin crystals by itinerant frustration
• 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
• Probing hidden spin order with interpretable machine learning
• Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO${}_4$
• Thermal Hall effects in quantum magnets
• The effect of spin-orbit coupling on the effective-spin correlation in YbMgGaO4
• Selective measurements of intertwined multipolar orders: non-Kramers doublets on a triangular lattice
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Synthesis, magnetization and heat capacity of triangular lattice materials NaErSe${}_2$ and KErSe${}_2$
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Thermal Transport of Fractionalized Antiferromagnetic and Field Induced States in the Kitaev Material Na${}_2$Co${}_2$TeO${}_6$
• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Anisotropic exchange Hamiltonian, magnetic phase diagram and domain inversion of Nd${}_2$Zr${}_2$O${}_7$
• Quantum Spin Dynamics Due to Strong Kitaev Interactions in the Triangular-Lattice Antiferromagnet CsCeSe${}_2$
• Magnetic properties and signatures of moment ordering in triangular lattice antiferromagnet KCeO${}_2$
• Dipolar spin ice states with fast monopole hopping rate in CdEr${}_2$X${}_4$ (X = Se, S)
• $\mu$SR study of triangular Ising antiferromagnet ErMgGaO${}_4$
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Hidden orders in spin-orbit entangled correlated insulators
• Magnetic properties and spin dynamics in a spin-orbit driven Jeff= 1/2 triangular lattice antiferromagnet
• 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${}_2$
• Pseudo-Spin Versus Magnetic Dipole Moment Ordering in the Isosceles Triangular Lattice Material K${}_3$Er(VO${}_4$)${}_2$
• Stripe order and spin dynamics in triangular-lattice antiferromagnet KErSe${}_2$: A single-crystal study with a theoretical description
• Energy scales in 4f1 delafossite magnets: crystal-field splittings larger than the strength of spin-orbit coupling in KCeO2
• Unusual double-peak specific heat and spin freezing in a spin-2 triangular lattice antiferromagnet FeAl${}_2$Se${}_4$
• Homogenous reduced moment in a gapful scalar chiral kagome antiferromagnet
• Distinguishing thermodynamics and spectroscopy for octupolar U(1) spin liquid of Ce-pyrochlores
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Orbital-Active Dirac Materials from the Symmetry Principle
• Canted antiferromagnetism in a spin-orbit coupled $S_{\text{eff}}=3/2$ triangular-lattice magnet DyAuGe
• Universal excitonic superexchange in spin-orbit-coupled Mott insulators
• Theory of magnetism for rare-earth magnets on the Shastry-Sutherland lattice with non-Kramers ions
• Interplay of magnetic ordering and charge transport in a distorted ScAl${}_3$C${}_3$-type GdZn${}_3$As${}_3$
• Multipolar multiferroics in $4d^2$/$5d^2$ Mott insulators
• Emergent Dispersive Multipolar Excitations in NaErSe${}_2$
• Field-induced multipolar character in the dipolar ground state of the honeycomb rare-earth chalcohalide NdOF