Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials

Abstract

Multipolar magnetism is an emerging field of quantum materials research. The building blocks of multipolar phenomena are magnetic ions with a non-Kramers doublet, where the orbital and spin degrees of freedom are inextricably intertwined, leading to unusual spin-orbital entangled states. The detection of such subtle forms of matter has, however, been difficult due to a limited number of appropriate experimental tools. In this work, motivated by a recent magnetostriction experiment on Pr${}_2$Zr${}_2$O${}_7$, we theoretically investigate how multipolar quantum spin ice, an elusive three dimensional quantum spin liquid, and other multipolar ordered phases in the pyrochlore materials can be detected using magnetostriction. We provide theoretical results based on classical and/or quantum studies of non-Kramers and Kramers magnetic ions, and contrast the behaviors of distinct phases in both systems. Our work paves an important avenue for future identification of exotic ground states in multipolar systems.

arXiv comment10 pages, 12 pages Supplementary Information (including References)

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• Unveiling Hidden Orders: Magnetostriction as a Probe of Multipolar-Ordered States
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• Uniaxial stress tuning of geometrical frustration in a Kondo lattice
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• Studying Continuous Symmetry Breaking using Energy Level Spectroscopy
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• Magnetoelastic coupling in URu2Si2: Probing multipolar correlations in the hidden order state
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Cited by in corpus (16)

• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Probing octupolar hidden order via Janus impurities
• Importance of dynamic lattice effects for crystal field excitations in quantum spin ice candidate Pr${}_2$Zr${}_2$O${}_7$
• Signatures of hidden octupolar order from nonlinear Hall effects
• Update of $\mathcal{H}\Phi$: Newly added functions and methods in versions 2 and 3
• Ultrasound detection of emergent photons in generic quantum spin ice
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Melting of spin ice state and development of fifth order susceptibility with magnetic field in pyrochlore Tb2Sn2O7
• Phonon-driven multipolar dynamics in a spin-orbit coupled Mott insulator
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Phonon Thermal Hall Effect in a non-Kramers Paramagnet
• Crystal-field magnetostriction of the spin ice under ultrahigh magnetic fields
• Pseudo-chiral phonon splitting from octupolar magnetic order
• $SU(N)$ spin-phonon simulations of Floquet dynamics in spin $S>1/2$ Mott insulators
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields