Quadrupole moments and their interactions in the triangular lattice antiferromagnet FeI${}_2$

Abstract

Motivated by the recent experiments on the triangular lattice antiferromagnet FeI${}_2$, we consider the presence of the quadrupole moments and their interactions between the spin-orbital-entangled local moments. In addition to the anisotropic pairwise interaction between the local moments, the interaction between the quadrupole moment arises from the interaction of the orbital occupation configurations. This is argued primarily from the time reversal symmetry and the different orbital configurations via their exchange paths. We discuss the implication of these interactions and expect this result to be complementary to the existing works in this system and other systems alike.

arXiv commentto appear in Phys Rev Res Lett

References in corpus (24)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Correlated quantum phenomena in the strong spin-orbit regime
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Exotic phases induced by strong spin-orbit coupling in ordered double perovskites
• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Theory of a continuous Mott transition in two dimensions
• 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
• Magnetic-Moment Fragmentation and Monopole Crystallization
• Spin-orbit coupling in $d^2$ ordered double perovskites
• Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality
• Spin-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Magnetically Hidden Order of Kramers Doublets in $d^1$ Systems: Sr${}_2$VO${}_4$
• Hybridized quadrupolar excitations in the spin-anisotropic frustrated magnet FeI2
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Observation of 4- and 6-magnon bound-states in the spin-anisotropic frustrated antiferromagnet FeI${}_2$
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Emergent quantum criticality from spin-orbital entanglement in $d^8$ Mott insulators: the case of a diamond lattice antiferromagnet

Cited by in corpus (5)

• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Multiple-$q$ dipole-quadrupole instability in spin-1 triangular-lattice systems
• Thermally-induced mimicry of quantum cluster excitations and implications for the magnetic transition in FePSe${}_3$
• Multipolar ferroelectricity in the Mott regime
• Spin amplitude wave due to dipole-quadrupole hybridization in spin-1 pyrochlore magnets