11B NMR Study of CexLa1–xB6

Magishi, Ko−ichi; Kawakami, Masayuki; Saito, Takahito; Koyama, Kuniyuki; Mizuno, Kaoru; Kunii, S.

doi:10.1515/zna-2002-6-727

Cited by 18 publications

(16 citation statements)

References 10 publications

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“…The NQR and NMR measurements are also sensitive microscopic probe to detect electronic multipoles through nuclear spins, which have been developed for exploring atomicscale electric quadrupole and magnetic dipole/octupole in the localized f -electron materials, such as Ce 1−x La x B 6 [32][33][34][35][36][37][38][39][40][41][42][43][44], NpO 2 [44][45][46], and skutterudite RT 4 X 12 (R: rare earth, T : transition metal, X: pnictogen) [47][48][49][50]. However, the studies by the NQR and NMR measurements have been limited to "evenparity" multipoles with respect to the spatial inversion operation, as nuclear spins and their products are characterized as even-parity tensors.…”

Section: Momentmentioning

confidence: 99%

NQR and NMR spectra in the odd-parity multipole material CeCoSi

Yatsushiro

Hayami

2020

Phys. Rev. B

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We theoretically study NQR and NMR spectra in the presence of odd-parity multipoles originating from staggered antiferromagnetic and antiferroquadrupole orderings. For the f-electron metal, CeCoSi, which is a candidate hosting odd-parity multipoles, we derive an effective hyperfine field acting on Co nucleus generated from electronic origin multipole moments at Ce ion under zero and nonzero magnetic fields. We elucidate that emergent odd-parity multipoles give rise to sublattice-dependent spectral splittings in NQR and NMR through the effective hyperfine coupling in the absence of the global inversion symmetry. We mainly examine behaviors of the NQR and NMR spectra in three odd-parity multipole ordered states: a y-type magnetic toroidal dipole order with a staggered x-type antiferromagnetic structure, an xy-type electric toroidal quadrupole order with a staggered x 2 − y 2-type antiferroquadrupole structure, and a z-type electric dipole order with a staggered 3z 2 − r 2type antiferroquadrupole structure. We show that different odd-parity multipole orders lead to different fielddependent spectral splittings in NMR, while only the xy-type electric toroidal quadrupole order exhibits the NQR spectral splitting. We also present possible sublattice-dependent spectral splittings for all the odd-parity multipole orders potentially activated in low-energy crystal-field levels, which will be useful to identify oddparity order parameters in CeCoSi by NQR and NMR measurements.

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Section: Momentmentioning

confidence: 99%

NQR and NMR spectra in the odd-parity multipole material CeCoSi

Yatsushiro

Hayami

2020

Phys. Rev. B

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“…Such internal fields were indeed detected by precise measurements using muon spin rotation (SR) and nuclear magnetic resonance (NMR). 26,83,148) …”

Section: Multipoles and Associated Fieldsmentioning

confidence: 99%

“…147) This indicates that the degeneracy of the quartet is mostly or completely removed in phase IV. This observation is consistent with the significant change of internal magnetic field observed by NMR and SR. 83,148) Although the uniform magnetic Fig. 9.…”

Section: Thermodynamic Anomalymentioning

confidence: 99%

Multipole Orders and Fluctuations in Strongly Correlated Electron Systems

2009

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In this paper we review experimental and theoretical results on higher electronic multipoles in solids with strong correlations. Recent experiments and their theoretical interpretation have confirmed the ordering of octupoles and even higher multipoles in rare-earth and actinide compounds with f electrons. The concept of multipoles is critically examined in point groups where spherical tensors of different ranks mix. Using a phenomenological approach, we demonstrate how linear and nonlinear couplings of different multipoles lead to rich phase diagrams and anomalies in physical observables. As actual representative systems, we first consider Ce x La 1Àx B 6 , for which resonant X-ray scattering probed the octupole order for the first time, and NpO 2 , where quadrupoles induced by the octupole order have been observed. We then consider a class of compounds called skutterudites as the most convenient system for systematic study. Particular emphasis is placed on the ordering of scalar components from fourth-rank tensors (hexadecapoles) and sixth-rank tensors (hexacontatetrapoles). A comparison of a skutterudite PrFe 4 P 12 and URu 2 Si 2 is made, where much fewer carriers remain in the ordered states than in the disordered phase. The even number (two) of f electrons per site in Pr 3þ or U 4þ makes the system free from the Kramers degeneracy, in contrast to standard models for Mott transitions. Hence, it is pointed out that multipole orders, particularly the scalar order, should provide a new route for studying the dichotomy between the itinerant and localized behaviors of electrons.

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“…However, the quadrupole moment is not necessarily the primary order parameter. Large change of the internal field at T I-IV , as probed by NMR 6) and µSR, 7) suggests strongly that the time reversal symmetry is broken in the phase IV, which is incompatible with a pure quadrupole order. Besides, neutron diffraction experiment found no magnetic reflection in the phase IV.…”

mentioning

confidence: 99%

Lattice Distortion and Octupole Ordering Model in Ce_xLa_1-xB₆

Kubo

Kuramoto

2003

J. Phys. Soc. Jpn.

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Possible order parameters of the phase IV in CexLa1-xB6 are discussed with special attention to the lattice distortion recently observed. A \Gamma_{5u}-type octupole order with finite wave number is proposed as the origin of the distortion along the [111] direction. The \Gamma_8 crystalline electric field (CEF) level splits into three levels by a mean field with the \Gamma_{5u} symmetry. The ground and highest singlets have the same quadrupole moment, while the intermediate doublet has an opposite sign. It is shown that any collinear order of \Gamma_{5u}-type octupole moment accompanies the \Gamma_{5g}-type ferro-quadrupole order, and the coupling of the quadrupole moment with the lattice induces the distortion. The cusp in the magnetization at the phase transition is reproduced, but the internal magnetic field due to the octupole moment is smaller than the observed one by an order of magnitude.Comment: 5 pages, 4 figures, submitted to J. Phys. Soc. Jp

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¹¹B NMR Study of Ce_xLa_1–xB₆

Cited by 18 publications

References 10 publications

NQR and NMR spectra in the odd-parity multipole material CeCoSi

NQR and NMR spectra in the odd-parity multipole material CeCoSi

Multipole Orders and Fluctuations in Strongly Correlated Electron Systems

Lattice Distortion and Octupole Ordering Model in Ce_xLa_1-xB₆

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11B NMR Study of CexLa1–xB6

Cited by 18 publications

References 10 publications

NQR and NMR spectra in the odd-parity multipole material CeCoSi

NQR and NMR spectra in the odd-parity multipole material CeCoSi

Multipole Orders and Fluctuations in Strongly Correlated Electron Systems

Lattice Distortion and Octupole Ordering Model in CexLa1-xB6

Contact Info

Product

Resources

About

¹¹B NMR Study of Ce_xLa_1–xB₆

Lattice Distortion and Octupole Ordering Model in Ce_xLa_1-xB₆