Field-Angle-Resolved Magnetic Excitations as a Probe of Hidden-Order Symmetry in CeB 6

Portnichenko, P. Y.; Akbari, A.; Nikitin, S. E.; Cameron, A. S.; Dukhnenko, A. V.; Filipov, V. B.; Shitsevalova, N. Yu.; Čermák, P.; Radelytskyi, I.; Schneidewind, A.; Ollivier, J.; Podlesnyak, A.; Huesges, Z.; Xu, J.; Ivanov, A.; Sidis, Y.; Petit, S.; Mignot, J. -M.; Thalmeier, P.; Inosov, D. S.

doi:10.1103/PhysRevX.10.021010

Title: Field-Angle-Resolved Magnetic Excitations as a Probe of Hidden-Order Symmetry in ${CeB}_{6}$

Abstract

In contrast to magnetic order formed by electrons’ dipolar moments, ordering phenomena associated with higher-order multipoles (quadrupoles, octupoles, etc.) are more difficult to characterize because of the limited choice of experimental probes that can distinguish different multipolar moments. The heavy-fermion compound CeB₆ and its La-diluted alloys are among the best-studied realizations of the long-range-ordered multipolar phases, often referred to as “hidden order.” Previously, the hidden order in phase II was identified as primary antiferroquadrupolar and field-induced octupolar order. Here, we present a combined experimental and theoretical investigation of collective excitations in phase II of CeB₆. Inelastic neutron scattering (INS) in fields up to 16.5 T reveals a new high-energy mode above 14 T in addition to the low-energy magnetic excitations. The experimental dependence of their energy on the magnitude and angle of the applied magnetic field is compared to the results of a multipolar interaction model. The magnetic excitation spectrum in a rotating field is calculated within a localized approach using the pseudospin representation for the Γ₈ states. We show that the rotating-field technique at fixed momentum can complement conventional INS measurements of the dispersion at a constant field and holds great promise for identifying the symmetry of multipolar ordermore »« less

Authors:

Portnichenko, P. Y.;

; Nikitin, S. E.; Cameron, A. S.; Dukhnenko, A. V.; Filipov, V. B.; Shitsevalova, N. Yu.; Čermák, P.; Radelytskyi, I.; Schneidewind, A.; Ollivier, J.;

; Huesges, Z.; Xu, J.; Ivanov, A.; Sidis, Y.; Petit, S.; Mignot, J. -M.; Thalmeier, P.;

Publication Date:: Tue Apr 14 00:00:00 EDT 2020

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1631890

Alternate Identifier(s):: OSTI ID: 1615184

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Published Article

Journal Name:: Physical Review. X

Additional Journal Information:: Journal Name: Physical Review. X Journal Volume: 10 Journal Issue: 2; Journal ID: ISSN 2160-3308

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Portnichenko, P. Y., Akbari, A., Nikitin, S. E., Cameron, A. S., Dukhnenko, A. V., Filipov, V. B., Shitsevalova, N. Yu., Čermák, P., Radelytskyi, I., Schneidewind, A., Ollivier, J., Podlesnyak, A., Huesges, Z., Xu, J., Ivanov, A., Sidis, Y., Petit, S., Mignot, J. -M., Thalmeier, P., and Inosov, D. S. Field-Angle-Resolved Magnetic Excitations as a Probe of Hidden-Order Symmetry in CeB 6.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevX.10.021010.

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                    Portnichenko, P. Y., Akbari, A., Nikitin, S. E., Cameron, A. S., Dukhnenko, A. V., Filipov, V. B., Shitsevalova, N. Yu., Čermák, P., Radelytskyi, I., Schneidewind, A., Ollivier, J., Podlesnyak, A., Huesges, Z., Xu, J., Ivanov, A., Sidis, Y., Petit, S., Mignot, J. -M., Thalmeier, P., & Inosov, D. S. Field-Angle-Resolved Magnetic Excitations as a Probe of Hidden-Order Symmetry in CeB 6.  United States.  https://doi.org/10.1103/PhysRevX.10.021010

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                    Portnichenko, P. Y., Akbari, A., Nikitin, S. E., Cameron, A. S., Dukhnenko, A. V., Filipov, V. B., Shitsevalova, N. Yu., Čermák, P., Radelytskyi, I., Schneidewind, A., Ollivier, J., Podlesnyak, A., Huesges, Z., Xu, J., Ivanov, A., Sidis, Y., Petit, S., Mignot, J. -M., Thalmeier, P., and Inosov, D. S. Tue .  
"Field-Angle-Resolved Magnetic Excitations as a Probe of Hidden-Order Symmetry in CeB 6".  United States.  https://doi.org/10.1103/PhysRevX.10.021010.

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@article{osti_1631890,

  title        = {Field-Angle-Resolved Magnetic Excitations as a Probe of Hidden-Order Symmetry in CeB 6},

  author       = {Portnichenko, P. Y. and Akbari, A. and Nikitin, S. E. and Cameron, A. S. and Dukhnenko, A. V. and Filipov, V. B. and Shitsevalova, N. Yu. and Čermák, P. and Radelytskyi, I. and Schneidewind, A. and Ollivier, J. and Podlesnyak, A. and Huesges, Z. and Xu, J. and Ivanov, A. and Sidis, Y. and Petit, S. and Mignot, J. -M. and Thalmeier, P. and Inosov, D. S.},

  abstractNote = {In contrast to magnetic order formed by electrons’ dipolar moments, ordering phenomena associated with higher-order multipoles (quadrupoles, octupoles, etc.) are more difficult to characterize because of the limited choice of experimental probes that can distinguish different multipolar moments. The heavy-fermion compound CeB6 and its La-diluted alloys are among the best-studied realizations of the long-range-ordered multipolar phases, often referred to as “hidden order.” Previously, the hidden order in phase II was identified as primary antiferroquadrupolar and field-induced octupolar order. Here, we present a combined experimental and theoretical investigation of collective excitations in phase II of CeB6. Inelastic neutron scattering (INS) in fields up to 16.5 T reveals a new high-energy mode above 14 T in addition to the low-energy magnetic excitations. The experimental dependence of their energy on the magnitude and angle of the applied magnetic field is compared to the results of a multipolar interaction model. The magnetic excitation spectrum in a rotating field is calculated within a localized approach using the pseudospin representation for the Γ8 states. We show that the rotating-field technique at fixed momentum can complement conventional INS measurements of the dispersion at a constant field and holds great promise for identifying the symmetry of multipolar order parameters and the details of intermultipolar interactions that stabilize hidden-order phases.},

  doi          = {10.1103/PhysRevX.10.021010},

  journal      = {Physical Review. X},

  number       = 2,

  volume       = 10,

  place        = {United States},

  year         = {Tue Apr 14 00:00:00 EDT 2020},

  month        = {Tue Apr 14 00:00:00 EDT 2020}

}

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Kitaev quantum spin liquid is a prime example of novel quantum magnetism of spin-orbit entangled pseudospin-1/2 moments in a honeycomb lattice. Most candidate materials such as Na₂IrO₃ have many competing exchange interactions beyond the minimal Kitaev-Heisenberg model whose small variations in the strength of the interactions produce huge differences in low energy dynamics. An incomplete knowledge of dynamic spin correlations hampers identification of a minimal model and quantification of the proximity to the Kitaev quantum spin-liquid phase. Here, we report fully momentum- and energy-resolved magnetic excitation spectra in a honeycomb lattice Na₂IrO₃ measured using resonant inelastic x-ray scattering. The state-of-the-artmore »« less
Cited by 24
https://doi.org/10.1103/PhysRevX.10.021034
Deviation from the dipole-ice model in the spinel spin-ice candidate ${MgEr}_{2} {Se}_{4}$

Journal Article Reig-i-Plessis, D. ; Geldern, S. V. ; Aczel, Adam A. ; ... - Physical Review B

In spin-ice research, small variations in structure or interactions drive a multitude of different behaviors, yet the collection of known materials relies heavily on the “227” pyrochlore structure. Here, we present thermodynamic, structural, and inelastic-neutron-scattering data on a spin-ice material, MgEr₂Se₄, which contributes to the relatively underexplored family of rare-earth spinel chalcogenides. X-ray and neutron diffraction confirm a normal spinel structure and place Er³⁺ moments on an ideal pyrochlore sublattice. Measurement of crystal electric field excitations with inelastic neutron scattering confirms that the moments have perfect Ising character, and further identifies the ground-state Kramers doublet as having dipolar-octupolar form withmore »« less
Cited by 3
https://doi.org/10.1103/PhysRevB.99.134438

Full Text Available
Noncollinear Magnetic Structure and Multipolar Order in ${Eu}_{2} {Ir}_{2} O_{7}$

Journal Article Wang, Yilin ; Weng, Hongming ; Fu, Liang ; ... - Physical Review Letters

The magnetic properties of the pyrochlore iridate material Eu₂Ir₂O₇ (5d⁵) have been studied based on first principles calculations, where the crystal field splitting Δ , spin-orbit coupling (SOC) λ, and Coulomb interaction U within Ir 5 d orbitals all play significant roles. The ground state phase diagram has been obtained with respect to the strength of SOC and Coulomb interaction U , where a stable antiferromagnetic ground state with all-in–all-out (AIAO) spin structure has been found. In addition, another antiferromagnetic state with energy close to AIAO has also been found to be stable. The calculated nonlinear magnetization of the twomore »« less
Cited by 17
https://doi.org/10.1103/physrevlett.119.187203

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Title: Field-Angle-Resolved Magnetic Excitations as a Probe of Hidden-Order Symmetry in CeB 6

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Citation Formats

Anisotropic magnetic phase diagram of the Kondo-lattice compound Ce 3 Pd 20 Ge 6 : Observation of antiferromagnetic and quadrupolar ordering journal, April 1998

Intense low-energy ferromagnetic fluctuations in the antiferromagnetic heavy-fermion metal CeB6 journal, May 2014

Detection of Neutron Scattering from Phase IV of Ce 0.7 La 0.3 B 6 : A Confirmation of the Octupole Order journal, September 2007

Theory of Multipolar Excitations in CeB 6 journal, July 1998

Magnetic-Field Effects on Quadrupolar Ordering in a Γ 8 -Quartet System CeB 6 journal, June 1997

Remark on High-Field Phase Diagram of CeB 6 journal, September 2002

Derivation of RKKY Interaction between Multipole Moments in CeB 6 by the Effective Wannier Model Based on the Bandstructure Calculation journal, August 2019

Interplay of Field-Induced Multipoles in CeB 6 journal, March 1998

The upgraded cold neutron triple-axis spectrometer FLEXX – enhanced capabilities by new instrumental options journal, January 2015

Search for multipolar instability in URu 2 Si 2 studied by ultrasonic measurements under pulsed magnetic field journal, April 2018

Magnetic resonance in cerium hexaboride caused by quadrupolar ordering journal, May 2006

Multipole fluctuation theory for heavy fermion systems: Application to multipole orders in CeB 6 journal, December 2019

Dynamics of Multipoles and Neutron Scattering Spectra in Quadrupolar Ordering Phase of CeB 6 journal, May 2003

High-frequency study of the orbital ordering resonance in the strongly correlated heavy fermion metal CeB6 journal, February 2009

Ultrasonic investigation of quadrupolar response in Kondo system CexLa1−xB6 journal, April 1996

Magnetic resonance anisotropy in CeB6: an entangled state of the art journal, December 2016

Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO4 journal, October 2019

Magnetic Field Induced 4 f Octupole in CeB 6 Probed by Resonant X-Ray Diffraction journal, July 2009

Multipolar excitations in the antiferroquadrupolar phase of CeB6 journal, July 2004

Hidden order in spin-liquid Gd3Ga5O12 journal, October 2015

Magnetic phase diagram of clathrate compound Ce 3 Pd 20 Si 6 with quadrupolar ordering journal, March 2013

IN5 Cold Neutron Time-of-Flight Spectrometer, Prepared to Tackle Single Crystal Spectroscopy journal, January 2011

Resonant X-Ray Scattering from the Quadrupolar Ordering Phase of CeB 6 journal, October 2001

A quantum liquid of magnetic octupoles on the pyrochlore lattice journal, March 2020

Exotic Quadrupolar Phenomena in Non-Kramers Doublet Systems — The Cases of Pr T 2 Zn 20 ( T = Ir, Rh) and Pr T 2 Al 20 ( T = V, Ti) — journal, August 2016

Emergent rank-5 nematic order in URu2Si2 journal, June 2012

The new cold neutron chopper spectrometer at the Spallation Neutron Source: Design and performance journal, August 2011

The cold neutron chopper spectrometer at the Spallation Neutron Source—A review of the first 8 years of operation journal, September 2016

Multipole Orders and Fluctuations in Strongly Correlated Electron Systems journal, July 2009

Horace : Software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments journal, October 2016

Gains from the upgrade of the cold neutron triple-axis spectrometer FLEXX at the BER-II reactor journal, November 2013

Spin Exciton Formation inside the Hidden Order Phase of CeB 6 journal, April 2012

Electric quadrupole contribution to resonant x-ray scattering: Application to multipole ordering phases in Ce 1 − x La x B 6 journal, September 2006

Collective spin resonance excitation in the gapped itinerant multipole hidden order phase of URu 2 Si 2 journal, September 2015

Anisotropic Form Factors of Neutron Scattering by Magnetic Octupole in CeB 6 journal, December 2012

Multipolar phases and magnetically hidden order: review of the heavy-fermion compound Ce 1− x La x B 6 journal, May 2016

Neutron scattering study of the antiferroquadrupolar ordering in CeB 6 and Ce 0.75 La 0.25 B 6 journal, January 1987

Spin-Orbital Wave Excitations in Orbitally Degenerate Exchange Model with Multipolar Interactions journal, October 2001

Ordered Phases and Quantum Criticality in Cubic Heavy Fermion Compounds journal, June 2014

Broken symmetries in URu 2 Si 2 journal, April 2014

Electron spin resonance in antiferro-quadrupolar-ordered CeB 6 journal, August 2012

Nesting-driven multipolar order in CeB6 from photoemission tomography journal, March 2016

ThALES—three axis low energy spectroscopy at the Institut Laue–Langevin journal, January 2008

Direct and quantitative determination of the orbital ordering in CeB 6 by X-ray diffraction journal, December 2004

Crystal fields in PrB6 and NdB6 journal, June 1986

Temperature and Field Dependence of Multipolar Excitations in CeB 6 journal, December 2003

Origin of Anisotropic RKKY Interactions in CeB 6 journal, December 2019

Antiferroquadrupole order and magnetic field induced octupole in CeB 6 journal, May 2012

Quadrupole Ordering in Clathrate Compound Ce 3 Pd 20 Si 6 journal, February 2009

Evolution of the multiband Ruderman–Kittel–Kasuya–Yosida interaction: application to iron pnictides and chalcogenides journal, March 2013

A mechanical rotator for neutron scattering measurements journal, December 2016

The quartet ground state in CeB 6 : An inelastic x-ray scattering study journal, January 2017

Description of Multipole in f -Electron Systems journal, June 2008

Magnetic Form Factor of Elastic Neutron Scattering Expected for Octupolar Phases in Ce 1- x La x B 6 and NpO 2 journal, September 2007

Orbital Antiferromagnetism in CeB 6 journal, October 1985

Angular Dependences of ESR Parameters in Antiferroquadrupolar Phase of CeB 6 journal, April 2017

Evolution of the propagation vector of antiferroquadrupolar phases in Ce 3 Pd 20 Si 6 under magnetic field journal, June 2019

PANDA—first results from the cold three-axes spectrometer at FRM-II journal, November 2006

Theory of Electron Spin Resonance in Ferromagnetically Correlated Heavy Fermion Compounds journal, June 2018

Itinerant multipolar order in URu 2 Si 2 and its signature in magnetic and lattice properties journal, November 2013

Electron spin resonance in CeB 6 journal, May 2013

Resonant magnetic exciton mode in the heavy-fermion antiferromagnet CeB6 journal, January 2012

Chirality density wave of the "hidden order" phase in URu2Si2 journal, February 2015

Ferroquadrupole ordering and Γ 5 rattling motion in the clathrate compound Ce 3 Pd 20 Ge 6 journal, November 2003

Magnetic Phase Diagrams of the Dense Kondo Compounds CeB 6 and Ce 0.5 La 0.5 B 6 journal, October 1995

Antiferro-Quadrupole Ordering of CeB 6 Studied by Resonant X-Ray Scattering journal, July 2001

Magnetic spin resonance in CeB 6 journal, December 2009

Title: Field-Angle-Resolved Magnetic Excitations as a Probe of Hidden-Order Symmetry in ${CeB}_{6}$

Anisotropic magnetic phase diagram of the Kondo-lattice compound ${Ce}_{3} {Pd}_{20} {Ge}_{6} :$ Observation of antiferromagnetic and quadrupolar ordering
journal, April 1998

Intense low-energy ferromagnetic fluctuations in the antiferromagnetic heavy-fermion metal CeB6
journal, May 2014

Detection of Neutron Scattering from Phase IV of Ce _0.7 La _0.3 B ₆ : A Confirmation of the Octupole Order
journal, September 2007

Theory of Multipolar Excitations in CeB ₆
journal, July 1998

Magnetic-Field Effects on Quadrupolar Ordering in a Γ ₈ -Quartet System CeB ₆
journal, June 1997

Remark on High-Field Phase Diagram of CeB ₆
journal, September 2002

Derivation of RKKY Interaction between Multipole Moments in CeB ₆ by the Effective Wannier Model Based on the Bandstructure Calculation
journal, August 2019

Interplay of Field-Induced Multipoles in CeB ₆
journal, March 1998

The upgraded cold neutron triple-axis spectrometer FLEXX – enhanced capabilities by new instrumental options
journal, January 2015

Search for multipolar instability in ${URu}_{2} {Si}_{2}$ studied by ultrasonic measurements under pulsed magnetic field
journal, April 2018

Magnetic resonance in cerium hexaboride caused by quadrupolar ordering
journal, May 2006

Multipole fluctuation theory for heavy fermion systems: Application to multipole orders in ${CeB}_{6}$
journal, December 2019

Dynamics of Multipoles and Neutron Scattering Spectra in Quadrupolar Ordering Phase of CeB ₆
journal, May 2003

High-frequency study of the orbital ordering resonance in the strongly correlated heavy fermion metal CeB6
journal, February 2009

Ultrasonic investigation of quadrupolar response in Kondo system CexLa1−xB6
journal, April 1996

Magnetic resonance anisotropy in CeB6: an entangled state of the art
journal, December 2016

Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO4
journal, October 2019

Magnetic Field Induced $4 f$ Octupole in ${CeB}_{6}$ Probed by Resonant X-Ray Diffraction
journal, July 2009

Multipolar excitations in the antiferroquadrupolar phase of CeB6
journal, July 2004

Hidden order in spin-liquid Gd3Ga5O12
journal, October 2015

Magnetic phase diagram of clathrate compound Ce ₃ Pd ₂₀ Si ₆ with quadrupolar ordering
journal, March 2013

IN5 Cold Neutron Time-of-Flight Spectrometer, Prepared to Tackle Single Crystal Spectroscopy
journal, January 2011

Resonant X-Ray Scattering from the Quadrupolar Ordering Phase of CeB ₆
journal, October 2001

A quantum liquid of magnetic octupoles on the pyrochlore lattice
journal, March 2020

Exotic Quadrupolar Phenomena in Non-Kramers Doublet Systems — The Cases of Pr T ₂ Zn ₂₀ ( T = Ir, Rh) and Pr T ₂ Al ₂₀ ( T = V, Ti) —
journal, August 2016

Emergent rank-5 nematic order in URu2Si2
journal, June 2012

The new cold neutron chopper spectrometer at the Spallation Neutron Source: Design and performance
journal, August 2011

The cold neutron chopper spectrometer at the Spallation Neutron Source—A review of the first 8 years of operation
journal, September 2016

Multipole Orders and Fluctuations in Strongly Correlated Electron Systems
journal, July 2009

Horace : Software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments
journal, October 2016

Gains from the upgrade of the cold neutron triple-axis spectrometer FLEXX at the BER-II reactor
journal, November 2013

Spin Exciton Formation inside the Hidden Order Phase of ${CeB}_{6}$
journal, April 2012

Electric quadrupole contribution to resonant x-ray scattering: Application to multipole ordering phases in ${Ce}_{1 - x} {La}_{x} B_{6}$
journal, September 2006

Collective spin resonance excitation in the gapped itinerant multipole hidden order phase of ${URu}_{2} {Si}_{2}$
journal, September 2015

Anisotropic Form Factors of Neutron Scattering by Magnetic Octupole in CeB ₆
journal, December 2012

Multipolar phases and magnetically hidden order: review of the heavy-fermion compound Ce _{1− x} La _x B ₆
journal, May 2016

Neutron scattering study of the antiferroquadrupolar ordering in CeB 6 and Ce 0.75 La 0.25 B 6
journal, January 1987

Spin-Orbital Wave Excitations in Orbitally Degenerate Exchange Model with Multipolar Interactions
journal, October 2001

Ordered Phases and Quantum Criticality in Cubic Heavy Fermion Compounds
journal, June 2014

Broken symmetries in URu ₂ Si ₂
journal, April 2014

Electron spin resonance in antiferro-quadrupolar-ordered CeB $_{6}$
journal, August 2012

Nesting-driven multipolar order in CeB6 from photoemission tomography
journal, March 2016

ThALES—three axis low energy spectroscopy at the Institut Laue–Langevin
journal, January 2008

Direct and quantitative determination of the orbital ordering in CeB ₆ by X-ray diffraction
journal, December 2004

Crystal fields in PrB6 and NdB6
journal, June 1986

Temperature and Field Dependence of Multipolar Excitations in CeB ₆
journal, December 2003

Origin of Anisotropic RKKY Interactions in CeB ₆
journal, December 2019

Antiferroquadrupole order and magnetic field induced octupole in CeB $_{6}$
journal, May 2012

Quadrupole Ordering in Clathrate Compound Ce ₃ Pd ₂₀ Si ₆
journal, February 2009

Evolution of the multiband Ruderman–Kittel–Kasuya–Yosida interaction: application to iron pnictides and chalcogenides
journal, March 2013

A mechanical rotator for neutron scattering measurements
journal, December 2016

The quartet ground state in CeB ₆ : An inelastic x-ray scattering study
journal, January 2017

Description of Multipole in f -Electron Systems
journal, June 2008

Magnetic Form Factor of Elastic Neutron Scattering Expected for Octupolar Phases in Ce _{1- x} La _x B ₆ and NpO ₂
journal, September 2007

Orbital Antiferromagnetism in CeB ₆
journal, October 1985

Angular Dependences of ESR Parameters in Antiferroquadrupolar Phase of CeB ₆
journal, April 2017

Evolution of the propagation vector of antiferroquadrupolar phases in ${Ce}_{3} {Pd}_{20} {Si}_{6}$ under magnetic field
journal, June 2019

PANDA—first results from the cold three-axes spectrometer at FRM-II
journal, November 2006

Theory of Electron Spin Resonance in Ferromagnetically Correlated Heavy Fermion Compounds
journal, June 2018

Itinerant multipolar order in URu ₂ Si ₂ and its signature in magnetic and lattice properties
journal, November 2013

Electron spin resonance in CeB ₆
journal, May 2013

Resonant magnetic exciton mode in the heavy-fermion antiferromagnet CeB6
journal, January 2012

Chirality density wave of the "hidden order" phase in URu2Si2
journal, February 2015

Ferroquadrupole ordering and $Γ_{5}$ rattling motion in the clathrate compound ${Ce}_{3} {Pd}_{20} {Ge}_{6}$
journal, November 2003

Magnetic Phase Diagrams of the Dense Kondo Compounds CeB ₆ and Ce _0.5 La _0.5 B ₆
journal, October 1995

Antiferro-Quadrupole Ordering of CeB ₆ Studied by Resonant X-Ray Scattering
journal, July 2001

Magnetic spin resonance in ${CeB}_{6}$
journal, December 2009