Exotic Quadrupolar Phenomena in Non-Kramers Doublet Systems — The Cases of PrT2Zn20 (T = Ir, Rh) and PrT2Al20 (T = V, Ti) —

Onimaru, Takahiro; Kusunose, Hiroaki

doi:10.7566/jpsj.85.082002

Cited by 175 publications

(119 citation statements)

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“…13) The series of compounds PrT 2 X 20 (T : transition metal, X: Zn or Al) provides particularly interesting examples of the Γ 3 CEF ground states. 4) As shown in Fig. 1 [18][19][20][21] all of which also show superconductivity.…”

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confidence: 87%

“…[21][22][23][24][25][26] Various measurements indicate that the Al-based materials are characterized by stronger hybridization between conduction and f electrons than the Zn-based materials, leading to anomalous transport properties and their pronounced pressure depen- * E-mail : taka.taniguchi@issp.u-tokyo.ac.jp dence. 4,[23][24][25][26][27][28][29][30] In this paper, we focus on PrTi 2 Al 20 . The magnetic susceptibility for H 111 is nearly independent of temperature below 20 K, indicating van Vleck paramagnetism with a nonmagnetic CEF ground state.…”

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NMR Observation of Ferro-Quadrupole Order in PrTi₂Al₂₀

et al. 2016

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We report the results of 27 Al-NMR measurements on a single crystal of PrTi 2 Al 20 . This compound shows a phase transition near 2 K associated with the quadrupole degree of freedom of Pr ions, for which the ground state of the crystalline electric field is a nonmagnetic doublet. When a magnetic field is applied along the 111 direction, the NMR lines split upon entering the low-temperature phase, indicating the breaking of the three fold rotation symmetry due to the field-induced magnetic dipole perpendicular to the field. This provides microscopic evidence for a ferro order of the O 20 quadrupole. Although a first-order transition is expected theoretically, the line splitting evolves continuously within the experimental resolution.KEYWORDS: PrTi 2 Al 20 , NMR, quadrupole order, symmetry breaking Multipoles of f electrons in rare-earth compounds show a wide variety of phenomena. [1][2][3][4] In particular, non-Kramers rare-earth ions with an even number of f electrons in a cubic environment have been attracting strong interest recently. [5][6][7][8][9][10][11] In these systems, it is possible that the ground states of the J multiplet split by the cubic crystalline electric field (CEF) are nonmagnetic, i.e., the matrix elements of the magnetic dipole J are identically zero, yet have a degeneracy that allows active higher-order multipoles such as electric quadrupoles or magnetic octupoles. Then various interesting phenomena such as multipole orders [12][13][14] or multichannel Kondo effects 15,16) are expected at low temperatures.These possibilities have indeed been realized in compounds containing Pr 3+ ions with the 4 f 2 electronic configuration. The nine states of the J = 4 ground multiplet are split by a cubic CEF into the Γ 1 nonmagnetic singlet, the Γ 3 nonmagnetic doublet, the Γ 4 magnetic triplet, and the Γ 5 magnetic triplet. If the CEF ground state is the Γ 3 doublet, we encounter an interesting situation that the ground state is nonmagnetic but has nonzero matrix elements for the two types of quadrupoles, O 20 = (3J 2 z −J 2 )/2 and O 22 = √ 3(J 2 x −J 2 y )/2, and one octupole T xyz = ( √ 15/6)J x J y J z , where the bar represents the sum over the possible permutations of the indices x, y, and z. 13) The series of compounds PrT 2 X 20 (T : transition metal, X: Zn or Al) provides particularly interesting examples of the Γ 3 CEF ground states. 4) As shown in Fig. 1 [18][19][20][21] all of which also show superconductivity. [21][22][23][24][25][26] Various measurements indicate that the Al-based materials are characterized by stronger hybridization between conduction and f electrons than the Zn-based materials, leading to anomalous transport properties and their pronounced pressure depen- * E-mail : taka.taniguchi@issp.u-tokyo.ac.jp dence. 4,[23][24][25][26][27][28][29][30] In this paper, we focus on PrTi 2 Al 20 . The magnetic susceptibility for H 111 is nearly independent of temperature below 20 K, indicating van Vleck paramagnetism with a nonmagnetic CEF ground state. 29) Specific heat measurements ...

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NMR Observation of Ferro-Quadrupole Order in PrTi₂Al₂₀

et al. 2016

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“…[15] Fig. 1 Crystal structure of PrNi2Cd20. In previous works, PrNi2Cd20 has been found to grow as a single crystal by the Cd selfflux method [17].…”

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confidence: 99%

Quadrupolar susceptibility and magnetic phase diagram of PrNi₂Cd₂₀ with non-Kramers doublet ground state

Yanagisawa

Hidaka

Arima

et al. 2020

Philosophical Magazine

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In this study, ultrasonic measurements were performed on a single crystal of cubic PrNi2Cd20, down to a temperature of 0.02 K, to investigate the crystalline electric field ground state and search for possible phase transitions at low temperatures.The elastic constant (C11−C12)/2, which is related to the Γ3-symmetry quadrupolar response, exhibits the Curie-type softening at temperatures below ~30 K, which indicates that the present system has a Γ3 non-Kramers doublet ground state. A leveling-off of the elastic response appears below ~0.1 K toward the lowest temperatures, which implies the presence of level splitting owing to a long-range order in a finite-volume fraction associated with Γ3-symmetry multipoles. A magnetic field-temperature phase diagram of the present compound is constructed up to 28 T for H || [110]. A clear acoustic de Haas-van Alphen signal and a possible magnetic-field-induced phase transition at ~26 T are also detected by highmagnetic-field measurements.One of the authors (T.Y.) would like to express profound respect for Prof. M. Brian Maple's brilliant achievements that opened the gates to the fertile world of research on cage-structured compounds and the related SCES phenomena originating from research on the filled-skutterudite systems.

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“…In this Letter, we show that analyses of ME effects in the cage compounds PrT 2 X 20 (T =Ir, Rh, Ti, V, X=Zn, Al etc.) 18 can be powerful tools for identifying their quadrupole order parameters. The Pr 1-2-20 systems exhibit the quadrupole orders, two-channel Kondo effects, and superconductivity at low temperatures [19][20][21][22] Under AFQ orders, the SI symmetry is broken, since the Pr ions do not locate at the inversion center in the diamond structure.…”

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Magnetoelectric Effects and Charge-Imbalanced Solenoids: Antiferro Quadrupole Orders in a Diamond Structure

Ishitobi

Hattori

2019

J. Phys. Soc. Jpn.

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We study magnetoelectric (magneto-current) effects in a diamond structure under antiferro quadrupole (AFQ) orders. The AFQ orders break the spatial inversion symmetry and cause the current-induced magnetization. The current-induced magnetization strongly depends on the types of the order parameters and the direction of the current. This gives a way to the experimental identification of AFQ order parameters. We also discuss the current-induced magnetization under the AFQ orders in the diamond structure can be intuitively understood in terms of charge-imbalanced solenoids.arXiv:1903.01103v2 [cond-mat.str-el]

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Exotic Quadrupolar Phenomena in Non-Kramers Doublet Systems — The Cases of PrT₂Zn₂₀ (T = Ir, Rh) and PrT₂Al₂₀ (T = V, Ti) —

Cited by 175 publications

References 113 publications

NMR Observation of Ferro-Quadrupole Order in PrTi₂Al₂₀

NMR Observation of Ferro-Quadrupole Order in PrTi₂Al₂₀

Quadrupolar susceptibility and magnetic phase diagram of PrNi₂Cd₂₀ with non-Kramers doublet ground state

Magnetoelectric Effects and Charge-Imbalanced Solenoids: Antiferro Quadrupole Orders in a Diamond Structure

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Exotic Quadrupolar Phenomena in Non-Kramers Doublet Systems — The Cases of PrT2Zn20 (T = Ir, Rh) and PrT2Al20 (T = V, Ti) —

Cited by 175 publications

References 113 publications

NMR Observation of Ferro-Quadrupole Order in PrTi2Al20

NMR Observation of Ferro-Quadrupole Order in PrTi2Al20

Quadrupolar susceptibility and magnetic phase diagram of PrNi2Cd20 with non-Kramers doublet ground state

Magnetoelectric Effects and Charge-Imbalanced Solenoids: Antiferro Quadrupole Orders in a Diamond Structure

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Exotic Quadrupolar Phenomena in Non-Kramers Doublet Systems — The Cases of PrT₂Zn₂₀ (T = Ir, Rh) and PrT₂Al₂₀ (T = V, Ti) —

NMR Observation of Ferro-Quadrupole Order in PrTi₂Al₂₀

NMR Observation of Ferro-Quadrupole Order in PrTi₂Al₂₀

Quadrupolar susceptibility and magnetic phase diagram of PrNi₂Cd₂₀ with non-Kramers doublet ground state