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.
Highlights
The development of a robust understanding of emergent phenomena in strongly correlated quantum systems [1,2] requires deep insight into the many-body ground state, and the excitations it can support
We proposed that magnetostriction is an ideal probe of multipolar quantum spin-ice ground states and multipolar ordered states in the pyrochlore oxide family
Employing a symmetry-based approach, we constructed an elastic strain coupling to the local rare-earth-metal moments, 033015-6
Summary
The development of a robust understanding of emergent phenomena in strongly correlated quantum systems [1,2] requires deep insight into the many-body ground state, and the excitations it can support. The non-Kramers doublet found in Pr2Zr2O7 hosts time-reversal even electric quadrupolar moments (and an accompanying magnetic dipolar moment) [26,27] These moments reside on a pyrochlore lattice, where frustrated pairwise interactions allow the possible existence of a type of QSL with an emergent U(1) gauge field and accompanying bosonic spinons, known as quantum spin ice [10,28,29,30,31,32,33,34]. In the intriguing candidate quantum spin-ice material, Pr2Zr2O7, the J = 4 degenerate manifold is partially lifted to yield non-Kramers (doublet) ground states of an even number of f electrons As a consequence, these support, in addition to a conventional magnetic dipole moment, more exotic timereversal even quadrupolar moments. Instead of using gMFT, we examine the quantum model using exact diagonalization, which confirms the relevant phase diagram (Appendix H)
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