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Journal ArticleDOI

Absence of Magnetic Dipolar Phase Transition and Evolution of Low-Energy Excitations in PrNb 2 Al 20 with Crystal Electric Field Γ 3 Ground State: Evidence from 93 Nb-NQR Studies

TLDR
In this article, the bulk magnetic susceptibility and 93Nb nuclear quadrupole resonance (NQR) in the Pr-based caged compound PrNb2Al20 were analyzed and the results showed that no symmetry-breaking magnetic dipole order occurs down to 75 mK. The frequency dependence of 1/T1 is attributed to the magnetic fluctuation due to the hyperfineenhanced 141Pr nuclear moment inherent in the nonmagnetic Γ3 CEF ground state.
Abstract
We report measurements of bulk magnetic susceptibility and 93Nb nuclear quadrupole resonance (NQR) in the Pr-based caged compound PrNb2Al20. By analyzing the magnetic susceptibility and magnetization, the crystal electric field (CEF) level scheme of PrNb2Al20 is determined to be Γ3(0 K)–Γ4(21.32 K)–Γ5(43.98 K)–Γ1(51.16 K) within the framework of the localized 4f electron picture. The 93Nb-NQR spectra exhibit neither spectral broadening nor spectral shift upon cooling down to 75 mK. The 93Nb-NQR spin–lattice relaxation rate 1/T1 at 5 K depends on the frequency and remains almost constant below 5 K. The frequency dependence of 1/T1 is attributed to the magnetic fluctuation due to the hyperfine-enhanced 141Pr nuclear moment inherent in the nonmagnetic Γ3 CEF ground state. The present NQR results provide evidence that no symmetry-breaking magnetic dipole order occurs down to 75 mK. Also, considering an invariant form of the quadrupole and octupole couplings between a 93Nb nucleus and Pr 4f electrons, Pr 4f qu...

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Citations
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Journal ArticleDOI

Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors

TL;DR: In this article, the authors theoretically construct a general formalism of multipole description by considering four independent types of multipoles: electric, magnetic, electric toroidal and magnetic toroidal.
Journal ArticleDOI

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

TL;DR: In this paper, the experimental evidence and related theoretical background on exotic phenomena arising from local quadrupolar degrees of freedom were reviewed and compared on four prototype compounds of PrT2X20 (T = Ir, Rh, X = Zn; T = V, Ti, Al).
Journal ArticleDOI

Cubic hastatic order in the two-channel Kondo-Heisenberg model

TL;DR: In this paper, the authors provide a survey of cubic hastatic order using the simple two-channel Kondo-Heisenberg model, and employ an SU(N) fermionic mean field treatment on square and simple cubic lattices, and examine how the nature and stability of Hastatic order varies as we vary the Heisenberg coupling, conduction electron density, band degeneracies, and apply both channel and spin symmetry breaking fields.
Journal ArticleDOI

Magnetic and thermal properties of NdT2AI20 (T: Ti, V, Cr) single crystals

TL;DR: In this paper, the Al-self flux method was used to grow the caged cubic compounds NdT2Al20 (T: Ti, V, Cr) by the Al self flux method, and measured magnetic susceptibility χ, magnetization M, and specific heat divided by temperature C/T down to 0.5K.
Journal ArticleDOI

Antiferroquadrupolar Ordering in Quadrupolar Kondo Lattice of Non-Kramers System PrTa2Al20

TL;DR: In this article, single crystals of PrTa2Al20 have been investigated by means of single-crystal structural analysis and measurements of magnetization, specific heat, and electrical resistivity.
References
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Journal ArticleDOI

The raising of angular momentum degeneracy of f-Electron terms by cubic crystal fields

TL;DR: In this article, the effect of cubic crystal field Hamiltonians with both fourth and sixth degree terms and acting on an angular momentum J, has been investigated as a function of the ratio between the fourth and six degree terms.
Journal ArticleDOI

Matrix Elements and Operator Equivalents Connected with the Magnetic Properties of Rare Earth Ions

K W H Stevens
TL;DR: In this paper, an account is given of the methods used to determine the matrix elements of crystal field potentials with particular reference to rare earth ions, and the importance of Wigner coefficients in such problems and the idea of using equivalent angular momentum operators is developed.
Journal ArticleDOI

Complex alloy structures regarded as sphere packings. i. definitions and basic principles

TL;DR: In this paper, the topological and geometrical properties of coordination polyhedra are examined and rules and theorems regarding them are deduced, and general principles regarding the combination of these polyhedral groups into full structures are given for terms that facilitate the detailed discussion of this class of structures.
Journal ArticleDOI

Quadrupolar Kondo effect in uranium heavy-electron materials?

TL;DR: The possibility of an electric quadrupole Kondo effect for a non-Kramers doublet on a uranium (U) ion in a cubic metallic host is demonstrated by model calculations showing a Kondo upturn in the resistivity, universal quenching of the quadrupolar moment, and a heavy electron anomaly in the electronic specific heat.
Journal ArticleDOI

Magnetic-Field Effects on Quadrupolar Ordering in a Γ8-Quartet System CeB6

TL;DR: In this article, a theory of the antiferro-quadrupolar ordering in CeB 6 is developed in the framework of the Γ 8 -quartet basis, and possible ordered phases under the external magnetic field are classified in terms of their symmetry properties, and the relations between quadrupolar order parameters and field-induced moments are established.
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