Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$

Abstract

We report inelastic neutron scattering measurements from our newly synthesized single crystals of the structurally metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$. We determine the four symmetry-allowed nearest-neighbor anisotropic exchange parameters via fits to linear spin wave theory supplemented by fits of the high-temperature specific heat. The exchange parameters so-determined are strongly correlated to the values determined for the $g$-tensor components, as previously observed for the related Yb pyrochlore Yb${}_2$Ti${}_2$O${}_7$. To address this issue, we directly determined the $g$-tensor from electron paramagnetic resonance of 1% Yb-doped Lu${}_2$Ge${}_2$O${}_7$, thus enabling an unambiguous determination of the exchange parameters. Our results show that Yb${}_2$Ge${}_2$O${}_7$ resides extremely close to the classical phase boundary between an antiferromagnetic ${\Gamma }_5$ phase and a splayed ferromagnet phase. By juxtaposing our results with recent ones on Yb${}_2$Ti${}_2$O${}_7$, our work illustrates that the Yb pyrochlore oxides represent ideal systems for studying quantum magnets in close proximity to classical phase boundaries.

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• Dipolar spin ice regime proximate to an all-in-all-out Néel ground state in the dipolar-octupolar pyrochlore Ce${}_2$Sn${}_2$O${}_7$
• Classical and quantum phases of the pyrochlore $S=1/2$ magnet with Heisenberg and Dzyaloshinskii-Moriya interactions
• Pseudo-Goldstone modes and dynamical gap generation from order-by-thermal-disorder
• Dynamical scaling as a signature of multiple phase competition in Yb${}_2$Ti${}_2$O${}_7$
• Order-by-disorder without quantum zero-point fluctuations in the pyrochlore Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions
• Quantifying uncertainties in crystal electric field Hamiltonian fits to neutron data
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Magnetic-field-induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb${}_2$Ti${}_2$O${}_7$
• Néel Ordering in the Distorted Honeycomb Pyrosilicate: C-Er${}_2$Si${}_2$O${}_7$
• L-based numerical linked cluster expansion for square lattice models
• Intertwined Magnetic Dipolar and Electric Quadrupolar Correlations in the Pyrochlore Tb${}_2$Ge${}_2$O${}_7$
• Crystal field splittings and magnetic ground state of the square-lattice antiferromagnets YbBi2ClO4 and YbBi2IO4 with Jeff = 1/2
• Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States