Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra

Abstract

We consider the structure of anisotropic exchange interactions in ytterbium-based insulating rare-earth magnets built from edge-sharing octahedra. We argue the features of trivalent ytterbium and this structural configuration allow for a qualitative determination of the different anisotropic exchange regimes that may manifest in such compounds. The validity of such super-exchange calculations is tested through comparison to the well-characterized breathing pyrochlore compound Ba${}_3$Yb${}_2$Zn${}_5$O${}_{11}$. With this in hand, we then consider application to three-dimensional pyrochlore spinels as well as two-dimensional honeycomb and triangular lattice systems built from such edge-sharing octahedra. We find an extended regime of robust emergent weak anisotropy with dominant antiferromagnetic Heisenberg interactions as well as smaller regions with strong anisotropy. We discuss the implications of our results for known compounds with the above structures, such as the spinels AYb${}_2$X${}_4$ (A = Cd, Mg, X = S, Se), the triangular compound YbMgGaO${}_4$, which have recently emerged as promising candidates for observing unconventional magnetic phenomena. Finally, we speculate on implications for the R${}_2$M${}_2$O${}_7$ pyrochlore compounds and some little studied honeycomb ytterbium magnets.

25 pages, 9 figures

References in corpus (23)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Models and Materials for Generalized Kitaev Magnetism
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Quantum order by disorder and accidental soft mode Er2Ti2O7
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate YbMgGaO4
• Lightly stuffed pyrochlore structure of single-crystalline Yb2Ti2O7 grown by the optical floating zone technique
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Structural distortion and the spin liquid state in Tb2Ti2O7
• Experimental Realization of a Quantum Breathing Pyrochlore Antiferromagnet
• Exchange interaction between $J$-multiplets
• Evidence for gapped spin-wave excitations in the frustrated Gd2Sn2O7 pyrochlore antiferromagnet from low-temperature specific heat measurements
• Order by Disorder and Energetic Selection of the Ground State in the XY Pyrochlore Antiferromagnet Er2Ti2O7. An Inelastic Neutron Scattering Study
• Ising Like Order by Disorder In The Pyrochlore Antiferromagnet with Dzyaloshinskii-Moriya Interactions
• Order-by-disorder near criticality in $XY$ pyrochlore magnets
• Long-range dynamical magnetic order and spin tunneling in the cooperative paramagnetic states of the pyrochlore analogous spinel antiferromagnets CdYb2X4 (X = S, Se)

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