Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials

Patri, Adarsh S.; Hosoi, Masashi; Lee, SungBin; Kim, Yong Baek

doi:10.1103/physrevresearch.2.033015

Cited by 20 publications

(22 citation statements)

References 61 publications

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“…Hence, it is more likely to stabilize QSLs there than in the unfrustrated region. The resulting phase diagram is remarkably similar to the result of recent ED calculations [15]. For example, deviations in phase boundaries (due to quantum fluctuations) from the classical phase diagram are clearly seen, and all the magnetically ordered phases are correctly represented.…”

Section: Introductionsupporting

confidence: 83%

“…The region of parameter space it occupies expands beyond the classical phase boundaries for large values of J x /J y and J z /J y . Previous ED simulations also show this nontrivial behavior of the phase boundaries [15]. When the value of κ is decreased, this PSG class expands further in the phase diagram, as can be inferred by comparing the first and second row in fig.…”

Section: Figsupporting

confidence: 65%

“…2 close to the classical octupolar spin-ice point (J x = J z = 0 and J y > 0). In gauge mean-field theory and ED calculations, this region is replaced by a 0-flux U (1) octupolar quantum spin ice (0-O-QSI) [9,15]. Our approach does not capture such a phase; instead, a classically ordered state occupies that region of parameter space.…”

Section: Analysis Of the Mean-field Ans äTze A Mean-field Phase Diagrammentioning

confidence: 99%

“…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. That prediction is well established in the perturbative regime (small transverse couplings) of the Ising point where the usual mapping to a compact U (1) lattice gauge theory holds [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

“…However, according to recent data analyses, Ce 2 Zr 2 O 7 may reside far from such a perturbative regime, which makes theoretical analysis rather difficult as, for example, quantum Monte Carlo (QMC) has a sign problem for frustrated transverse couplings. Interestingly, the exact diagonalization (ED) of small system sizes does not find any phase transition [15,16,19] between the Ising point and the SU (2) symmetric antiferromagnetic Heisenberg point [27][28][29][30][31][32]. Given that the quantum spin ice near the Ising point is described as a coherent superposition of dominant 2-in-2-out spin configurations, it is not obvious how the ground state far away from the Ising limit may be connected to such a perturbative Ising regime.…”

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: Introductionsupporting

confidence: 83%

Section: Figsupporting

confidence: 65%

Section: Analysis Of the Mean-field Ans äTze A Mean-field Phase Diagrammentioning

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

Self Cite

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Update of HΦ: Newly added functions and methods in versions 2 and 3

Ido,

Kawamura,

Motoyama

et al. 2024

Computer Physics Communications

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Probing octupolar hidden order via Janus impurities

Voleti,

Pradhan,

Bhattacharjee

et al. 2023

npj Quantum Mater.

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Quantum materials with non-Kramers doublets are a fascinating venue to realize multipolar hidden orders. Impurity probes which break point group symmetries, such as implanted muons or substitutional impurities, split the non-Kramers degeneracy and exhibit a Janus-faced influence in such systems: they can destroy the very order they seek to probe. Here, we explore this duality in cubic osmate double perovskites which are candidates for exotic d-orbital octupolar order competing with quadrupolar states. Using ab initio computations, Landau theory, and Monte Carlo simulations, we show that Janus impurities induce local strain fields, nucleating quadrupolar puddles and suppressing the octupolar Tc. At the same time, strains mix the non-Kramers doublet with an excited magnetic triplet, creating parasitic dipole moments which directly expose the hidden octupolar order parameter. Our work unravels this Janus duality in recent impurity nuclear magnetic resonance (NMR) experiments, with important implications for uncovering hidden order in diverse multipolar materials.

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Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials

Cited by 20 publications

References 61 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$_7$

Update of HΦ: Newly added functions and methods in versions 2 and 3

Probing octupolar hidden order via Janus impurities

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