Crystal Field Investigation on PrMg<sub>3</sub>

Andreeff, A.; Goremychkin, E. A.; Griessmann, H.; Lippold, B.; Matz, W.; Chistyakov, O. D.; Savitskii, E.M.

doi:10.1002/pssb.2220980128

Cited by 17 publications

(6 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These compounds are Pauli paramagnets for non-magnetic R: Y, La and ferromagnets for magnetic R, the highest Curie temperature T C = 32 K is observed for GdNi 5 . A strong hexagonal crystal field (CF) causes a Van Vleck paramagnetic state for the compounds PrNi 5 and PrCu 5 [2][3][4]. The lowest CF levels of the Pr ion in PrNi 5 are the following: the ground singlet Γ 4 : (|3 − |−3 ) / √ 2 and then an exited singlet Γ 1 : |0 and doublets Γ 6 : |±1 , Γ 5A : 0.214 |±4 − 0.977 |∓2 with energies of 23, 39 and 48 K above the ground state, respectively [3].…”

Section: Introductionmentioning

confidence: 99%

Magnetism of the singlet-singlet system PrNi5−Cu

Кучин

Gurevich

Dmitriev

et al. 2004

Journal of Alloys and Compounds

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Magnetism of the singlet-singlet system PrNi5−Cu

Кучин

Gurevich

Dmitriev

et al. 2004

Journal of Alloys and Compounds

View full text Add to dashboard Cite

“…For the (Q, π, 0) order relevant to PrPb 3 , projecting to the eigenstates of H 0 + H (1) Q at the Γ-point, only terms β 1 , β 2 in H (2) Q have nonzero matrix elements, while the matrix element of the β 3 term vanishes. The splitting of each doublet away from the Γ-point can then be described in terms of just two Pauli matrices, leading to a vanishing Berry curvature over any small momentum patch.…”

mentioning

confidence: 99%

“…Candidate materials to realize this physics include Pr-based intermetallic compounds such as PrPb 3 , PrT 2 X 20 (with T =Ir,Rh,Ti,V and X=Zn,Al), PrMg 3 , PrInAg 2 and PrPbBi etc in which the quadrupoles reside on 4f 2 Pr ions. [1][2][3][4][5][6][7][8][9][10][11] These ions possess a non-Kramers Γ 3 doublet ground state due to strong spinorbit coupling and local crystal fields. Matrix elements of the dipole operator, proportional to the total angular momentum, vanish in this doublet Hilbert space.…”

mentioning

confidence: 99%

Optical gyrotropy in quadrupolar Kondo systems

2015

View full text Add to dashboard Cite

Recent experiments point to a variety of intermetallic systems which exhibit exotic quadrupolar orders driven by the Kondo coupling between conduction electrons and localized quadrupolar degrees of freedom. Using a Luttinger k · p Hamiltonian for the conduction electrons, we study the impact of such quadrupolar order on their energies and wave functions. We discover that such quadrupolar orders can induce a nontrivial Berry curvature for the conduction electron bands, leading to a nonvanishing optical gyrotropic effect. We estimate the magnitude of the gyrotropic response in a candidate quadrupolar material, PrPb3, and discuss the resulting Faraday rotation in thin films.Kondo coupling between conduction electrons and local quadrupolar degrees of freedom is of great interest for realizing the multichannel Kondo lattice model. Candidate materials to realize this physics include Pr-based intermetallic compounds such as PrPb 3 , PrT 2 X 20 (with T =Ir,Rh,Ti,V and X=Zn,Al), PrMg 3 , PrInAg 2 and PrPbBi etc in which the quadrupoles reside on 4f 2 Pr ions.[1-11] These ions possess a non-Kramers Γ 3 doublet ground state due to strong spinorbit coupling and local crystal fields. Matrix elements of the dipole operator, proportional to the total angular momentum, vanish in this doublet Hilbert space. However, matrix elements of quadrupolar operators, rank-2 irreducible tensors formed from the angular momentum, remain nonzero. The Doniach phase diagram suggests that strong hybridization between these quadrupolar doublets and the conduction electrons could lead to unusual heavy Fermi liquids, while weak hybridization could lead to quadrupolar orders driven by Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions. [12][13][14][15] Detecting such quadrupolar orders and clarifying the nature of their broken symmetries remain challenging issues due to a dearth of probes which couple directly to the quadrupole moments. In contrast to magnetic dipole order, the ordering of these time-reversal invariant quadrupoles does not directly manifest itself in nuclear magnetic resonance (NMR), muon spin rotation (µSR), or neutron diffraction measurements, necessitating the need for indirect probes. Such probes include: (i) ultrasonic measurements of phonon softening accompanying quadrupolar order, but this is restricted to ferroquadrupolar order; and (ii) magnetic field induced dipolar order, which can be probed by neutron diffraction and whose pattern depends on the underlying quadrupolar state, but this relies on having a field regime strong enough to induce measurable dipolar order while not significantly modifying the underlying quadrupolar order. [6,16] This experimental complexity of probing multipolar orders is also at the heart of the longstanding puzzle of "hidden order" in URu 2 Si 2 . [17,18] In this Letter, we suggest an alternative route -the optical gyrotropic effect [19][20][21][22] -that may provide a sensitive probe of quadrupolar broken symmetries in metals. The optical gyrotropic effect is a certain handedness in the propaga...

show abstract

“…6 PrMg 3 is also known as the 3 ground state system with a level scheme 3 doublet (0 K)-4 triplet (56 K)-1 singlet (135 K)-5 triplet (183 K). 16,17 PrMg 3 possesses a Heusler structure similar to PrAg 2 In where both Ag and In sites are substituted by Mg. The specific heat of PrMg 3 exhibits a pronounced broad peak around 0.9 K with a huge specific heat coefficient C/T = 2.8 J/(mol K 2 ) and indicates no sign of long-range ordering.…”

Section: Introductionmentioning

confidence: 98%

Multipole effects ofΓ3doublet–Γ4triplet states in PrMg
Araki
¹
,
Nemoto
²
,
Akatsu
³

et al. 2011
Phys. Rev. B
9
0
6
0
View full text Add to dashboard Cite

Elastic properties of cubic PrMg 3 with a non-Kramers 3 doublet ground state have been investigated with ultrasonic measurements. The temperature dependence of the elastic constant (C 11 −C 12 )/2 in PrMg 3 exhibits a characteristic minimum around 28 K and successively shows pronounced softening below 8 K down to 20 mK. The observation is well described by multipole susceptibility considering both an electric quadrupole O v and electric hexadecapole H v with 3g representation for the crystal field level 3 ground state and 4 triplet excited state located at 54 K for PrMg 3 . The contribution of the hexadecapole in the 3 -4 system to the multipole susceptibility should be emphasized to explain a common feature of the minimum typically observed in (C 11 −C 12 )/2 of Pr-based compounds PrPb 3 , PrAg 2 In, and the present PrMg 3 , as revealed by systematic ultrasonic measurements.

show abstract

Crystal Field Investigation on PrMg₃

Cited by 17 publications

References 5 publications

Magnetism of the singlet-singlet system PrNi5−Cu

Magnetism of the singlet-singlet system PrNi5−Cu

Optical gyrotropy in quadrupolar Kondo systems

Multipole effects ofΓ3doublet–Γ4triplet states in PrMg
Araki
¹
,
Nemoto
²
,
Akatsu
³

et al. 2011
Phys. Rev. B
9
0
6
0
View full text Add to dashboard Cite

Contact Info

Product

Resources

About

Crystal Field Investigation on PrMg3

Cited by 17 publications

References 5 publications

Magnetism of the singlet-singlet system PrNi5−Cu

Magnetism of the singlet-singlet system PrNi5−Cu

Optical gyrotropy in quadrupolar Kondo systems

Multipole effects ofΓ3doublet–Γ4triplet states in PrMgAraki1, Nemoto2, Akatsu3 et al. 2011Phys. Rev. B9060View full textAdd to dashboardCite

Contact Info

Product

Resources

About

Crystal Field Investigation on PrMg₃

Multipole effects ofΓ3doublet–Γ4triplet states in PrMg
Araki
¹
,
Nemoto
²
,
Akatsu
³

et al. 2011
Phys. Rev. B
9
0
6
0
View full text Add to dashboard Cite