Antiferro Quadrupole Orders in Non-Kramers Doublet Systems

Hattori, Kazumasa; Tsunetsugu, Hirokazu

doi:10.7566/jpsj.83.034709

Cited by 44 publications

(61 citation statements)

References 33 publications

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“…These 6 directions are not equally separated on the circle in the Q-space, but located on both sides of the three favored directions of the Z 3 anisotropy. This is consistent with our previous conclusion based on the mean-field analysis 20) that the ordered phase has a 6-fold degeneracy. Due to global updates in our simulation, the order parameter migrates from one of the 6 stable points to another, and the 6 points become equally populated after long Monte-Carlo runs in our simulation.…”

Section: Low-temperature Ordered Phasesupporting

confidence: 94%

“…We verified in our previous paper that it is nonsingular within the mean-field approximation. 20) The scaling of the calculated ferro component in our results is shown in the inset of Fig. 5(b), and one can see that it does not work well with the expected exponent 2β.…”

Section: Scaling Of Secondary Order Parametermentioning

confidence: 59%

“…The presence of the parasitic ferro order was first found in our mean-field analysis, 20) and we are going to analyze their true criticality based on our MC data. Let us first explain a natural idea about the expected criticality and then show later that our MC results differ from that.…”

Section: Scaling Of Secondary Order Parametermentioning

confidence: 85%

“…This is because each Pr-Pr bond points along [111] or one of its equivalent directions and this restricts a possible form of intersite quadrupole coupling. 20) Describing the symmetries of the system properly, this Hamiltonian is sufficient for studying quadrupole orderings, while higher-order terms in Q's are safely neglected. As for the coupling constants, we set a = −5, b = 10 and the unit of energy is J = 1, throughout this paper.…”

Section: Model Hamiltonianmentioning

confidence: 99%

“…In our previous study, 20) antiferro orbital orders in the Pr 1-2-20 compounds were investigated. Using a mean-field and spin-wave theories, we determined the temperature-magnetic field phase diagram, and also calculated excitation spectra.…”

Section: Introductionmentioning

confidence: 99%

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Classical Monte Carlo Study for Antiferro Quadrupole Orders in a Diamond Lattice

Hattori

Tsunetsugu

2016

J. Phys. Soc. Jpn.

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We investigate antiferro quadrupole orders in a diamond lattice under magnetic fields by Monte Carlo simulations for two types of classical effective models. One is an XY model with Z3 anisotropy, and the other is a two-component φ 4 model with a third-order anisotropy. We confirm that the universality class of the zero-field transition is that for the three-dimensional XY model. Magnetic field corresponds to a Z3 field in the effective model, and under this field, we find that collinear and canted antiferro-quadrupole orders compete. Each phase is characterized by symmetry breaking in the sector of (sublattice Z2)⊗(reflection Z2 for the order parameter). When Z3 anisotropy and magnetic field vary, it turns out that this system is a good playground for various multicritical points; bicritical and tetracritical points emerge in a finite field. Another important finding is about the scaling of parasitic ferro quadrupole order at the zero-field critical point. This is the secondary order parameter induced by the primary antiferro order, and its critical exponent β ′ =0.815 clearly differs from the expected value that is twice the value for the primary order parameter. The corresponding correlation length exponent is also different, ν ′ =0.597(12). We also discuss relation of the present effective quadrupole models with the 3-state Potts model as well as implication to undertanding of orbital orders in Pr-based 1-2-20 compounds.

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Section: Low-temperature Ordered Phasesupporting

confidence: 94%

Section: Scaling Of Secondary Order Parametermentioning

confidence: 59%

Section: Scaling Of Secondary Order Parametermentioning

confidence: 85%

Section: Model Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Classical Monte Carlo Study for Antiferro Quadrupole Orders in a Diamond Lattice

Hattori

Tsunetsugu

2016

J. Phys. Soc. Jpn.

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Unveiling hidden multipolar orders with magnetostriction

et al. 2019

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Broken symmetries in solids involving higher order multipolar degrees of freedom are historically referred to as “hidden orders” due to the formidable task of detecting them with conventional probes. In this work, we theoretically propose that magnetostriction provides a powerful and novel tool to directly detect higher-order multipolar symmetry breaking—such as the elusive octupolar order—by examining scaling behaviour of length change with respect to an applied magnetic field h. Employing a symmetry-based Landau theory, we focus on the family of Pr-based cage compounds with strongly correlated f-electrons, Pr(Ti,V,Ir)2(Al,Zn)20, whose low energy degrees of freedom are purely higher-order multipoles: quadrupoles $${\cal{O}}_{20,22}$$ O 20 , 22 and octupole $${\cal{T}}_{xyz}$$ T x y z . We demonstrate that a magnetic field along the [111] direction induces a distinct linear-in-h length change below the octupolar ordering temperature. The resulting “magnetostriction coefficient” is directly proportional to the octupolar order parameter, thus providing clear access to such subtle order parameters.

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Measurement of the magnetic octupole susceptibility of PrV2Al20

Ye,

Sorensen,

Bachmann

et al. 2024

Nat Commun

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Revealing the presence of magnetic octupole order and associated octupole fluctuations in solids is a highly challenging task due to the lack of simple external fields that can couple to magnetic octupoles. Here, we demonstrate a methodology for probing the magnetic octupole susceptibility of a candidate material, PrV 2 Al 20 , using a product of magnetic field H i and shear strain ϵ j k as a composite effective field, while employing an adiabatic elastocaloric effect to probe the response. We observe Curie-Weiss behavior in the obtained octupolar susceptibility down to approximately 3 K. Although octupole order does not appear to be the leading multipolar channel in PrV 2 Al 20 , our results nevertheless reveal the presence of strong magnetic octupole fluctuations and hence demonstrate that octupole order is at least a competing state. More broadly, our results highlight how anisotropic strain can be combined with magnetic fields to probe elusive ‘hidden’ electronic orders.

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Antiferro Quadrupole Orders in Non-Kramers Doublet Systems

Cited by 44 publications

References 33 publications

Classical Monte Carlo Study for Antiferro Quadrupole Orders in a Diamond Lattice

Classical Monte Carlo Study for Antiferro Quadrupole Orders in a Diamond Lattice

Unveiling hidden multipolar orders with magnetostriction

Measurement of the magnetic octupole susceptibility of PrV2Al20

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