Magnetoelastic excitations in the pyrochlore spin liquid Tb${}_2$Ti${}_2$O${}_7$

Abstract

At low temperatures, Tb${}_2$Ti${}_2$O${}_7$ enters a spin liquid state, despite expectations of magnetic order and/or a structural distortion. Using neutron scattering, we have discovered that in this spin liquid state an excited crystal field level is coupled to a transverse acoustic phonon, forming a hybrid excitation. Magnetic and phononlike branches with identical dispersion relations can be identified, and the hybridization vanishes in the paramagnetic state. We suggest that Tb${}_2$Ti${}_2$O${}_7$ is aptly named a "magnetoelastic spin liquid" and that the hybridization of the excitations suppresses both magnetic ordering and the structural distortion. The spin liquid phase of Tb${}_2$Ti${}_2$O${}_7$ can now be regarded as a Coulomb phase with propagating bosonic spin excitations.

10 pages, 6 figures, supplementary information included

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• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• Double Vibronic process in the quantum spin ice candidate Tb${}_2$Ti${}_2$O${}_7$ revealed by terahertz spectroscopy
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• Coexistence of magnetic fluctuations and long-range orders in the one-dimensional $J_1-J_2$ zigzag chains materials BaDy${}_2$O${}_4$ and BaHo${}_2$O${}_4$
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• Terahertz Magneto-optical investigation of quadrupolar spin-lattice effects in magnetically frustrated Tb2Ti2O7
• A Large-$S$ Study of Quantum Kagome Ice
• Low Energy Magneto-optics of Tb${}_2$Ti${}_2$O${}_7$ in [111] Magnetic Field
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