The case for a U(1)$_π$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce$_2$Zr$_2$O$_7$

Smith, E. M.; Benton, Owen; Yahne, D. R.; Placke, Benedikt; Gaudet, Jonathan; Dudemaine, J.; A., Fitterman,; Beare, J.; Bhattacharya, S.; DeLazzer, T.; Buhariwalla, Connor; Butch, N. P.; Movshovich, R.; Garrett, J. D.; Marjerrison, Casey; Clancy, J. P.; Kermarrec, E.; Luke, G. M.; Bianchi, A.; Ross, Kate; Gaulin, B. D.

doi:10.48550/arxiv.2108.01217

Cited by 4 publications

(9 citation statements)

References 30 publications

(94 reference statements)

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“…This observation combined with our previous conclusion that ferromagnetic (antiferromagnetic) coupling favor a maximum (minimum) in the spin correlation at the zone center, provides a simple way to experimentally determine if the system is in the region of parameter space with frustrated or unfrustrated transverse coupling. The total equal-time NS amplitude has the rod motifs that were obtained from molecular dynamics simulations in the frustrated region of the phase diagram [13,14]. While this feature is roughly consistent with neutron scattering experiments, the higher intensity at (001) and (003) reported in empirical studies does not show up in the theoretical results for these Z 2 QSLs states.…”

Section: Equal-time Static Spin Structure Factorsupporting

confidence: 77%

“…The values of these coupling constants were estimated for Ce 2 Zr 2 O 7 in two recent studies from a combination of thermodynamic, magnetization and neutron scattering measurements [13,14]. Both found J xz ≈ 0 (i.e., J aa ≈ J a and S a ≈ τ a for a = x, y, z), all couplings to be antiferromagnetic (i.e., J xx > 0, J yy > 0, and J zz > 0), and the octupolar coupling J yy to be the largest or slightly smaller than J xx .…”

Section: B Microscopic Modelmentioning

confidence: 99%

“…The dashed lines denote classical phase boundaries while the Jx + Jz = 0 dotted line indicates the boundary between the unfrustrated and frustrated regions of exchange couplings. Black stars and the downward triangle represent experimentally determined coupling constants from [14] and [13] respectively. The Z2-0-000 and Z2-0-010 are both condensed at the Γ point (see fig.…”

Section: Figmentioning

confidence: 99%

“…This description with only a few parameters enables a tractable analysis of its ground state. Experimentally, investigations have shown strong evidence for QSL physics [10][11][12][13][14]. It lacks any magnetic ordering down to the lowest temperature, and it was recently determined that the leading pseudospin exchange coupling is antiferromagnetic and associated with the octupolar pseudospin component.…”

Section: Introductionmentioning

confidence: 99%

“…It lacks any magnetic ordering down to the lowest temperature, and it was recently determined that the leading pseudospin exchange coupling is antiferromagnetic and associated with the octupolar pseudospin component. Both transverse (dipolar) couplings are also * felix.desrochers@mail.utoronto.ca frustrated [13,14]. That region of parameters space is theoretically suggested to host a π-flux U (1) octupolar quantum spin ice (π-O-QSI) [15][16][17][18][19][20], where the ground state supports a static π-flux of the emergent gauge field in hexagonal loops of the pyrochlore lattice.…”

Section: Introductionmentioning

confidence: 99%

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Competing $U(1)$ and $\mathbb{Z}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce$_2$Zr$_2$O$_7$

Desrochers,

Chern,

Kim

2021

Preprint

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Recent experiments on the dipolar-octupolar pyrochlore compound Ce2Zr2O7 indicate that it may realize a three-dimensional quantum spin liquid (QSL). In particular, the analyses of available data suggest that the system is in a region of parameter space, where the so-called π-flux U (1) octupolar quantum spin ice (QSI) with an emergent photon could be realized. On the other hand, because the system is far from the perturbative classical spin ice regime, it is unclear whether the quantum ground state is primarily a coherent superposition of 2-in-2-out configurations as in the canonical QSI phases. In this work, we explore other possible competing quantum spin liquid states beyond QSI using the Schwinger boson parton construction of the dipolar-octupolar pseudospin-1/2 model. After classifying all symmetric U (1) and Z2 QSLs using the projective symmetry group (PSG), we construct a mean-field phase diagram that possesses a number of important features observed in an earlier exact diagonalization study. In the experimentally relevant frustrated region of the phase diagram, we find two closely competing gapped Z2 QSLs with a narrow spinon dispersion. The equal-time and dynamical spin structure factors of these states show key features similar to what was reported in neutron scattering experiments. Hence, these QSLs are closely competing ground states in addition to the π-flux U (1) QSI, and they should be taken into account on equal footing for the interpretation of experiments on Ce2Zr2O7.

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Section: Equal-time Static Spin Structure Factorsupporting

confidence: 77%

Section: B Microscopic Modelmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Competing $U(1)$ and $\mathbb{Z}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce$_2$Zr$_2$O$_7$

Desrochers,

Chern,

Kim

2021

Preprint

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Crystal-field states and defect levels in candidate quantum spin ice Ce2Hf2O7

Porée

Lhotel

Petit

et al. 2022

Phys. Rev. Materials

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We report the synthesis of powder and single-crystal samples of cerium pyrohafnate and their characterization using neutron diffraction, thermogravimetry and x-ray absorption spectroscopy. We evaluate the amount of nonmagnetic Ce 4+ defects and use this result to interpret the spectrum of crystal-electric field transitions observed using inelastic neutron scattering. The analysis of these single-ion transitions indicates the dipole-octupole nature of the ground-state doublet and a significant degree of spin-lattice coupling. The single-ion properties calculated from the crystal-electric field parameters obtained spectroscopically are in good agreement with bulk magnetic susceptibility data down to about 1 K. Below this temperature, the behavior of the magnetic susceptibility indicates a correlated regime without showing any sign of magnetic long-range order or freezing down to 0.08 K. We conclude that Ce 2 Hf 2 O 7 is another candidate to investigate exotic correlated states of quantum matter, such as the octupolar quantum spin ice recently argued to exist in the isostructural compounds Ce 2 Sn 2 O 7 and Ce 2 Zr 2 O 7 .

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Ultrasound detection of emergent photons in generic quantum spin ice

Simon,

Patri,

Kim

2022

Preprint

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Experimental identification of quantum spin ice (QSI), a U(1) quantum spin liquid on the pyrochlore lattice hosting emergent photons, is a major challenge in frustrated magnets. In this work, we propose ultrasound measurements as a novel tool for probing the emergent photons of various QSI phases. Our analysis includes QSI phases in non-Kramers doublet compounds such as Pr2Zr2O7 as well as dipolar-octupolar Kramers doublet compounds such as Ce2Zr2O7. The latter may host emergent photons associated with an octupolar component which renders them difficult to detect with inelastic neutron scattering. We demonstrate theoretically how the speed of the emergent photons can be obtained from the renormalization of the phonon spectrum and show that ultrasound measurements provide a means of distinguishing the dipolar from the octupolar QSI phase in dipolar-octupolar materials.

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The case for a U(1)$_π$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce$_2$Zr$_2$O$_7$

Cited by 4 publications

References 30 publications

Competing $U(1)$ and $\mathbb{Z}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce$_2$Zr$_2$O$_7$

Competing $U(1)$ and $\mathbb{Z}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce$_2$Zr$_2$O$_7$

Crystal-field states and defect levels in candidate quantum spin ice Ce2Hf2O7

Ultrasound detection of emergent photons in generic quantum spin ice

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