Anisotropic B–T Phase Diagram of Non-Kramers System PrRh2Zn20

Yoshida, Taichi; Machida, Yo; Izawa, Keisuke; Shimada, Yusuke; Nagasawa, Naohiro; Onimaru, Takahiro; Takabatake, Toshiro; Gourgout, Adrien; Pourret, Alexandre; Knebel, G.; Brison, Jean-Pascal

doi:10.7566/jpsj.86.044711

Cited by 28 publications

(31 citation statements)

References 48 publications

(78 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Pressure enhances the superconductivity 46 , which is almost certainly unconventional. The in-field phase diagrams are even more interesting, as there is an intermediate heavy Fermi liquid region in all three materials, sandwiched between the zerofield order and a fully polarized high field state where all Kondo physics is lost 47,48 .…”

Section: B Relevant Pr-based Materialsmentioning

confidence: 99%

See 1 more Smart Citation

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

2018

View full text Add to dashboard Cite

Materials with non-Kramers doublet ground states naturally manifest the two-channel Kondo effect, as the valence fluctuations are from a non-Kramers doublet ground state to an excited Kramers doublet. Here, the development of a heavy Fermi liquid requires a channel symmetry breaking spinorial hybridization that breaks both single and double time-reversal symmetry, and is known as hastatic order. Motivated by cubic Pr-based materials with Γ3 non-Kramers ground state doublets, this paper provides a survey of cubic hastatic order using the simple two-channel Kondo-Heisenberg model. Hastatic order necessarily breaks time-reversal symmetry, but the spatial arrangement of the hybridization spinor can be either uniform (ferrohastatic) or break additional lattice symmetries (antiferrohastatic). The experimental signatures of both orders are presented in detail, and include tiny conduction electron magnetic moments. Interestingly, there can be several distinct antiferrohastatic orders with the same moment pattern that break different lattice symmetries, revealing a potential experimental route to detect the spinorial nature of the hybridization. We 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. We find that both ferrohastatic and several types of antiferrohastatic orders are stabilized in different regions of the mean-field phase diagram, and evolve differently in strain and magnetic fields.

show abstract

Section: B Relevant Pr-based Materialsmentioning

confidence: 99%

“…In addition, several compounds, including PrV 2 Al 20 , Pr(Ir,Rh) 2 Zn 20 and PrPb 3 , contain new heavy Fermi liquid regions in intermediate magnetic fields 47,48,52 . These regions have enhanced Sommerfeld coefficients, C/T , and resistivity AT 2 coefficients.…”

Section: A Ferrohastatic Ordermentioning

confidence: 99%

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

2018

View full text Add to dashboard Cite

show abstract

“…These materials provide an ideal setting to resolve the role of the quadrupolar Kondo effect and explore hastatic order within a simpler setting. Several exhibit a dome of heavy Fermi liquid at finite magnetic fields 33,34 that is consistent with field-induced hastatic order.…”

Section: Introductionmentioning

confidence: 71%

Field-induced ferrohastatic phase in cubic non-Kramers doublet systems

2019

View full text Add to dashboard Cite

Cubic Pr-based compounds with Γ3 non-Kramers doublet ground states can realize a novel heavy Fermi liquid with spinorial hybridization ('hastatic' order) that breaks time reversal symmetry. Several Pr-"1-2-20" materials exhibit a suggestive heavy Fermi liquid stabilized in intermediate magnetic fields; these provide key insight into the quadrupolar Kondo lattice. We develop a simple, yet realistic microscopic model of ferrohastatic order, and elaborate its experimental signatures and behavior in field, where it is a good candidate to explain the observed heavy Fermi liquids at intermediate fields in Pr(Ir,Rh)2Zn20. In addition, we develop the Landau theory of ferrohastatic order, which allows us to understand its behavior close to the transition and explore thermodynamic signatures from magnetic susceptibility to thermal expansion. A. Pr-based 1-2-20 materials detailsKondo physics in Pr-based materials is rare, but the 1-2-20 materials, PrT 2 X 20 , have atypically strong cf hybridization 17,35 , as the Pr ions sit within Frank-Kasper cages of 16 X=Al or Zn atoms. Cubic crystal fields select a Γ 3 ground state doublet 17,18,20 , and there is considerable evidence for Kondo physics: at arXiv:1802.05752v3 [cond-mat.str-el]

show abstract

“…[16,17] Recently, coexistence of quadrupole orders and superconductivity has been observed in non-Kramers doublet systems PrT 2 Zn 20 (T = Ir, Rh) [19][20][21][22], and PrT 2 Al 20 (T = Ti, V), [24][25][26][27] which suggests the superconducting pair could be mediated by quadrupole fluctuations. Furthermore, non-Fermi liquid (NFL) behaviors of the electrical resistivity ρ(T ) and the specific heat C(T ) were observed not only in PrIr 2 Zn 20 and PrRh 2 Zn 20 [23,28] but also in a diluted Pr system Y(Pr)Ir 2 Zn 20 [29], indicating possible manifestation of the quadrupole Kondo effect. [30,31] The intensive works on the 4 f 2 systems described above have revealed a rich variety of phenomena due to the interactions between the multipolar degrees of freedom of the 4 f 2 electrons and conduction electrons.…”

mentioning

confidence: 99%

Hindered Quadrupole Order in PrMgNi₄ with a Nonmagnetic Doublet Ground State

et al. 2019

Self Cite

View full text Add to dashboard Cite

Structural, transport and magnetic properties of single-crystalline samples of a praseodymium-based cubic compound PrMgNi 4 were studied. The single-crystal X-ray structural analysis revealed that Mg atoms are substituted for the Pr atoms at the 4a site by 4.5%. The χ(T ) data follow the Curie-Weiss law with an effective moment for the Pr 3+ ion. The magnetic specific heat divided by temperature, C m /T , shows a broad maximum at around 3 K, which is reproduced by a two-level model with a ground state doublet. On cooling below 1 K, C m /T approaches a constant value, which behavior is reproduced by a random two-level model. The twofold degeneracy of the ground state is lifted by symmetry lowering due to the substituted Mg atoms for the Pr atoms or strong hybridizations between the 4 f 2 electron states and conduction bands, which hinders the long-range quadrupole order.Praseodymium-based cubic compounds with a 4 f 2 configuration have attracted much attention because a variety of phenomena manifest themselves at low temperatures. Pr-filled skutterudites exhibit correlated electronic phenomena due to strong hybridization between the 4 f electron and conduction electrons (cf hybridization), e.g., heavy-fermion superconductivity, a metal-insulator transition, and higher-order multipolar ordering.[1-4] These phenomena are attributed to the interplay between the conduction electrons and multipolar degrees of freedom in quasi-degenerated ground states of the Pr ions under the crystalline electric field (CEF).In case the CEF ground state is the non-Kramers doublet of the Pr ion under cubic symmetry, the magnetic dipole is quenched but electric quadrupole and magnetic octupole become active. Thereby, the multipoles in the non-Kramers doublet could govern the low-temperature properties. A typical system is PrPb 3 , which exhibits an antiferroquadrupole (AFQ) order at T Q = 0.4 K [5][6][7]. Below T Q , the quadrupoles are modulated sinusoidally by the correlation between the quadrupoles and the conduction electrons [8,9]. Another example is PrInNi 4 , which presents a ferromagnetic transition at T C = 0.75 K.[10-12] The nonmagnetic ground state doublet could mix with the excited magnetic triplet by the ferromagnetic exchange interaction inducing a magnetic moment in the ground state which orders ferromagnetically.On the contrary, PrAg 2 In and PrMg 3 exhibit no quadrupole order. [13][14][15] The absence of the quadrupole order was discussed by considering the Kondo effect due to strong c-f hybridization, because the specific heat divided by temperature, C/T , is largely enhanced at low temperatures. However, the thermoelectric power is not enhanced and the absolute value is comparable to that of the La counterpart, indicating the conduction electrons at the Fermi level could not correlate strongly with the 4 f 2 electrons. [16,17] Moreover, in the specific heat measurements using a high-quality single crystal of PrAg 2 In with the residual resistivity ratio of RRR = 14, a cusp-type anomaly manifests itself at 0.33 K, indic...

show abstract

Anisotropic B–T Phase Diagram of Non-Kramers System PrRh₂Zn₂₀

Cited by 28 publications

References 48 publications

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

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

Field-induced ferrohastatic phase in cubic non-Kramers doublet systems

Hindered Quadrupole Order in PrMgNi₄ with a Nonmagnetic Doublet Ground State

Contact Info

Product

Resources

About

Anisotropic B–T Phase Diagram of Non-Kramers System PrRh2Zn20

Cited by 28 publications

References 48 publications

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

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

Field-induced ferrohastatic phase in cubic non-Kramers doublet systems

Hindered Quadrupole Order in PrMgNi4 with a Nonmagnetic Doublet Ground State

Contact Info

Product

Resources

About

Anisotropic B–T Phase Diagram of Non-Kramers System PrRh₂Zn₂₀

Hindered Quadrupole Order in PrMgNi₄ with a Nonmagnetic Doublet Ground State