Elastic anomalies associated with two successive transitions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si0004.gif" overflow="scroll"><mml:mrow><mml:msub><mml:mrow><mml:mi>PrV</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>Al</mml:mi></mml:mrow><mml:mrow><mml:mn>20</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> probed by ultrasound measurements

Nakanishi, Y.; Taniguchi, Motoki; Nakamura, Mitsuteru; Hasegawa, Junichi; Ohyama, Rei; Yoshizawa, Michito; Takao, Masaki; Nakatsuji, Satoru

doi:10.1016/j.physb.2017.10.110

Cited by 7 publications

(6 citation statements)

References 18 publications

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“…In addition to the consistency between the DT and the critical field along [111], the results agree with the data available at present: the existence of hysteresis for [111] 42,43 , the number of the field-induced phases and the value of the critical field ∼27 T for H [001] 37,38,41 and ∼12 T for [111] 38,42 . Moreover, disappearance of T 2 -anomaly at ∼7 T for [001] in the ultrasonic experiment 41 is consistent with the phase diagram in Fig. 3(a).…”

Section: Introduction-supporting

confidence: 88%

“…However, PrV 2 Al 20 still possesses many unresolved issues among the Pr-based 1-2-20 compounds. It exhibits the non-Fermi liquid 36 , the multiphase diagram [37][38][39] , and in particular, double transitions (DT) at zero magnetic field 40,41 . None of their origins or mechanisms have been well understood, and even the order parameters (OPs) of the symmetry broken phases have not been identified.…”

Section: Introduction-mentioning

confidence: 99%

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Triple-$q$ quadrupole-octupole order scenario for PrV$_2$Al$_{20}$

Ishitobi,

Hattori

2021

Preprint

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We propose novel triple-q multipole orders in quadrupolar Kondo system PrV2Al20. Anisotropies of quadrupole moments stabilize a triple-q order, which further leads to the second transition to a coexisting phase with triple-q octupole moments. The mechanism for realizing these triple-q states is unique to time-reversal even multipolar systems. There, the cubic invariant of quadrupole moments with triple-q components in its free energy plays an important role. We analyze a multipolar exchange model by mean-field approximation and discuss the temperature and magnetic-field phase diagrams. Many of the microscopic results such as finite ferro octupole moments in the coexisting phase and the field-induced phases are qualitatively consistent with the experiments in PrV2Al20.

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Section: Introduction-supporting

confidence: 88%

Section: Introduction-mentioning

confidence: 99%

Triple-$q$ quadrupole-octupole order scenario for PrV$_2$Al$_{20}$

Ishitobi,

Hattori

2021

Preprint

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“…The nature of the quadrupolar ordering in these cage compounds has been indirectly examined with a few techniques 40,41 such as ultrasound experiments 42–45 (indicating softening of elastic modulus at quadrupolar ordering temperature, ), as well as NMR measurements (where the magnetic field-induced dipole moment is strongly dependent on the underlying quadrupolar phase 46 ). More recently, magnetostriction and thermal expansion strain experiments 47 have also lent themselves as possible probes to study the transitions and the underlying quadrupolar phase.…”

Section: Introductionmentioning

confidence: 99%

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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“…Equation (24) indicates that the Van Vleck splitting is (16/3)ch 2 . It is isotropic (constant) with respect to θ.…”

Section: H ⊥ [111]mentioning

confidence: 99%

“…In fact, rich quadrupole physics is expected in non-Kramers doublet systems, such as Pr-based compounds with a well-separated doublet ground state from other crystalfield excited states. [23][24][25][26] This paper is organized as follows. In Sect.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Magnetoacoustic Quadrupole Resonance and Application to Probe Quadrupole Degrees of Freedom in Quantum Magnets

Matsumoto

Koga

2020

J. Phys. Soc. Jpn.

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Motivated by the recent progress of high-frequency ultrasonic measurements, we propose a theory of magnetoacoustic resonance as a microscopic probe for quadrupole degrees of freedom hidden in magnetic materials. A local strain driven by an acoustic wave couples to electronic states of a magnetic ion through various quadrupole-strain couplings, and this provides a periodically time-dependent oscillating field. As a typical two-level system with the quadrupole, we consider a non-Kramers doublet and investigate single-and multiphonon-mediated transition processes on the basis of the Floquet theory. An analytic form of the transition probability is derived within the weak coupling theory, which helps us analyze the magnetoacoustic quadrupole resonance. We apply the theory to realistic non-Kramers doublet systems for the f 2 configuration in O h and D 4h symmetries, and discuss how to identify the relevant quadrupole by controlling the quadrupole-strain coupling with an applied magnetic field in ultrasonic measurements.

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Elastic anomalies associated with two successive transitions of PrV2Al20 probed by ultrasound measurements

Cited by 7 publications

References 18 publications

Triple-$q$ quadrupole-octupole order scenario for PrV$_2$Al$_{20}$

Triple-$q$ quadrupole-octupole order scenario for PrV$_2$Al$_{20}$

Unveiling hidden multipolar orders with magnetostriction

Analysis of Magnetoacoustic Quadrupole Resonance and Application to Probe Quadrupole Degrees of Freedom in Quantum Magnets

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