Pseudo-Spin Versus Magnetic Dipole Moment Ordering in the Isosceles Triangular Lattice Material K${}_3$Er(VO${}_4$)${}_2$

Abstract

Spin-1/2 antiferromagnetic triangular lattice models are paradigms of geometrical frustration, revealing very different ground states and quantum effects depending on the nature of anisotropies in the model. Due to strong spin orbit coupling and crystal field effects, rare-earth ions can form pseudo-spin-1/2 magnetic moments with anisotropic single-ion and exchange properties. Thus, rare-earth based triangular lattices enable the exploration of this interplay between frustration and anisotropy. Here we study one such case, the rare-earth double vanadate glaserite material K${}_3$Er(VO${}_4$)${}_2$, which is a quasi-2D isosceles triangular antiferromagnet. Our specific heat and neutron powder diffraction data from K${}_3$Er(VO${}_4$)${}_2$ reveal a transition to long range magnetic order at 155 $\pm$ 5 mK which accounts for all R$\ln$2 entropy. The quasi-2D magnetic order leads to anisotropic Warren-like Bragg peak profiles, and is best described by alternating layers of b-axis aligned antiferromagnetism and zero moment layers. Our magnetic susceptibility data reveal that Er${}^{3+}$ takes on a strong XY single-ion anisotropy in K${}_3$Er(VO${}_4$)${}_2$, leading to vanishing moments when pseudo-spins are oriented along c. Thus, the magnetic structure, when considered from the pseudo-spin point of view comprises alternating layers of b-axis and c-axis aligned antiferromagnetism.

arXiv comment7 pages, 9 figures - This version was presented at the American Conference on Neutron Scattering 2020. The major change compared to the first version is the discussion relating to the quasi-2D correlations. These are now understood to coexist with long-range 3D order. The magnetic structure determination of the 3D order is identical to the first version

References in corpus (41)

• Long range Neel order in the triangular Heisenberg model
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Quantum Excitations in Quantum Spin Ice
• Experimental realization of a 2D fractional quantum spin liquid
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Neel order in square and triangular lattice Heisenberg models
• Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO${}_4$
• Field-tunable quantum disordered ground state in the triangular lattice antiferromagnet NaYbO${}_2$
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4
• Frustrated quantum rare-earth pyrochlores
• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Topography of Spin Liquids on a Triangular Lattice
• Quantum order by disorder and accidental soft mode Er2Ti2O7
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Quasiparticle Breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore Yb${}_2$Ti${}_2$O${}_7$ in Magnetic Field
• Fluctuations and all-in$-$all-out ordering in dipole-octupole Nd2Zr2O7
• Strong quantum fluctuations in a quantum spin liquid candidate with a Co-based triangular lattice
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Spin dynamics in the presence of competing ferro- and antiferro-magnetic correlations in Yb2Ti2O7
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Order by Disorder Spin Wave Gap in the XY Pyrochlore Magnet Er2Ti2O7
• Antiferro-quadrupolar correlations in the quantum spin ice candidate Pr2Zr2O7
• Gapless quantum excitations from an Ice-like Splayed Ferromagnetic ground state in stoichiometric Yb2Ti2O7
• Thermodynamic properties of the Yb2Ti2O7 pyrochlore as a function of temperature and magnetic field: validation of a quantum spin ice exchange Hamiltonian
• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Hidden multipolar orders of dipole-octupole doublets on a triangular lattice
• Reentrant Phase Diagram of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ in $⟨111⟩$ Magnetic Field
• Ground state selection in XY pyrochlore antiferromagnets R${}_2$Ge${}_2$O${}_7$ (R = Er, Yb)
• Order by virtual crystal field fluctuations in pyrochlore XY antiferromagnets
• Magnon interactions in the frustrated pyrochlore ferromagnet Yb${}_2$Ti${}_2$O${}_7$
• Palmer-Chalker correlations in the XY pyrochlore antiferromagnet Er2Sn2O7
• Long range order in the dipolar XY antiferromagnet Er${}_2$Sn${}_2$O${}_7$
• Phase Competition in the Palmer-Chalker XY Pyrochlore Er${}_2$Pt${}_2$O${}_7$
• Crystal fields and magnetic structure of the Ising antiferromagnet Er${}_3$Ga${}_5$O${}_{12}$
• LongHCPulse: Long Pulse Heat Capacity on a Quantum Design PPMS
• $\mu$SR study of triangular Ising antiferromagnet ErMgGaO${}_4$
• The magnetic order of a manganese vanadate system with two-dimensional striped triangular lattice

Cited by in corpus (2)

• Magnetic properties of triangular lattice antiferromagnets Ba3RB9O18 (R = Yb, Er)
• Néel Ordering in the Distorted Honeycomb Pyrosilicate: C-Er${}_2$Si${}_2$O${}_7$