DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Revealing the Nature of Antiferroquadrupolar Ordering in Cerium Hexaboride: CeB 6

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [1]
  1. Indian Institute of Technology, Mumbai (India)
  2. Ames Lab., Ames, IA (United States)
  3. Ames Lab. and Iowa State Univ., Ames, IA (United States)

The cerium hexaboride (CeB6) f-electron compound displays a rich array of low-temperature magnetic phenomena, including a “magnetically hidden” order, identified as multipolar in origin via advanced x-ray scattering. From first-principles electronic-structure results, we find that the antiferroquadrupolar (AFQ) ordering in CeB6 arises from crystal-field splitting and yields a band structure in agreement with experiments. With interactions of p electrons between Ce and B6 being small, the electronic state of CeB6 is suitably described as Ce(4f1)3+(e)(B6)2–. The AFQ state of orbital spins is caused by an exchange interaction induced through spin-orbit interaction, which also splits the J = 5/2 state into a Γ8 ground state and a Γ7 excited state. Within the smallest antiferromagnetic (AFM) (111) configuration, an orbital-ordered AFQ state appears during charge self-consistency, and it supports the appearance of a “hidden” order. Furthermore hydrostatic pressure (either applied or chemically induced) stabilizes the AFM (AFQ) states over a ferromagnetic one, as observed at low temperatures.

Research Organization:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC02-07CH11358
OSTI ID:
1495400
Report Number(s):
IS-J--9868
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 7 Vol. 122; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (61)

A Study of the Electronic Structure of Rare Earth Hexaborides journal April 1985
Crystal fields in PrB6 and NdB6 journal June 1986
First-principles study of structural, elastic, and electronic properties of CeB6 under pressure journal December 2015
New interpretation of the de Haas-van Alphen signals of LaB6 journal May 1988
Magnetic excitations in CeB6 journal October 1985
Neutron-diffraction study of quadrupolar and magnetic order in TmTe. journal June 2000
Electronic structures of LaB6 and CeB6 single crystals: X-ray absorption near-edge structure studies at the B K-edge and the La and Ce giant resonance journal April 2011
Band structure and Fermi surface of studied by angle-resolved photoemission spectroscopy journal September 2004
Nesting-driven multipolar order in CeB6 from photoemission tomography journal March 2016
Resonant magnetic exciton mode in the heavy-fermion antiferromagnet CeB6 journal January 2012
Intense low-energy ferromagnetic fluctuations in the antiferromagnetic heavy-fermion metal CeB6 journal May 2014
Theory of the Susceptibility of CeB 6 journal March 1969
Differences between LaB 6 and CeB 6 by means of spectroscopic ellipsometry journal October 1986
Evidence of antiferroquadrupolar ordering of DyB 2 C 2 journal October 1999
X-ray diffraction by CeB6 journal April 2002
Study of low-energy magnetic excitations in single-crystalline CeIn 3 by inelastic neutron scattering journal May 2003
Special points for Brillouin-zone integrations journal June 1976
Crystal-field excitations in CeB 6 studied by Raman and neutron spectroscopy journal October 1984
Ab initiomolecular dynamics for liquid metals journal January 1993
Projector augmented-wave method journal December 1994
Crystal-field splitting in CeB 6 as observed by high-resolution photoemission journal October 1995
Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study journal January 1998
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
RKKY interaction between Ce ions in Ce x La 1 − x B 6 journal October 2000
Magnetic-field dependence of the paramagnetic to the high-temperature magnetically ordered phase transition in CeB 6 journal July 2000
Zero-field magnetic structure in CeB 6 reinvestigated by neutron diffraction and muon spin relaxation journal December 2003
Taming multiple valency with density functionals: A case study of defective ceria journal January 2005
Magnetic phase diagram of antiferroquadrupole ordering in Ho B 2 C 2 journal March 2005
Modeling of Ce O 2 , Ce 2 O 3 , and Ce O 2 − x in the LDA + U formalism journal January 2007
First-principles LDA + U and GGA + U study of cerium oxides: Dependence on the effective U parameter journal January 2007
Stability of the Ce 2 O 3 phases: A DFT + U investigation journal November 2007
Antiferroquadrupole order and magnetic field induced octupole in CeB 6 journal May 2012
Band-dependent emergence of heavy quasiparticles in CeCoIn 5 journal July 2013
Fermi surface topology and hot spot distribution in the Kondo lattice system CeB 6 journal September 2015
Anomaly in the temperature-dependent electronic structure of the heavy-fermion compound CeB 6 : A theoretical investigation by means of a first-principles many-body approach journal April 2017
Spin Resonance in the d -Wave Superconductor CeCoIn 5 journal February 2008
Magnetic Field Induced 4 f Octupole in CeB 6 Probed by Resonant X-Ray Diffraction journal July 2009
Density-Functional Theory for f -Electron Systems: The α − γ Phase Transition in Cerium journal October 2012
Generalized Gradient Approximation Made Simple journal October 1996
Direct Observation of Antiferroquadrupolar Ordering: Resonant X-Ray Scattering Study of DyB 2 C 2 journal March 2000
Anomalous Temperature Dependence of the Magnetic Field Induced Antiferromagnetic Moment in the Antiferroquadrupolar Ordered State of CeB 6 journal February 2001
Multipolar interactions in f -electron systems: The paradigm of actinide dioxides journal June 2009
Colloquium : Hidden order, superconductivity, and magnetism: The unsolved case of URu 2 Si 2 journal November 2011
5 d and 4 f electron configuration of CeB 6 at 340 and 535 K journal September 2008
Ferromagnetic Quantum Critical Point in the Heavy-Fermion Metal YbNi4(P1-xAsx)2 journal February 2013
Magnetic Properties of Single Crystals of Ce x La 1- x B 6 journal November 1984
Interaction between Kondo States and the Hall Effect of Dense Kondo System Ce x La 1- x B 6 journal May 1985
Fermi Surface and Cyclotron Mass of CeB 6 journal October 1989
Magnetic-Field Effects on Quadrupolar Ordering in a Γ 8 -Quartet System CeB 6 journal June 1997
A New Interpretation of NMR in Quadrupolar Ordering Phase of CeB 6 - Consistency with Neutron Scattering - journal October 1997
Theory of Multipolar Excitations in CeB 6 journal July 1998
Interplay of Field-Induced Multipoles in CeB 6 journal March 1998
Nature of Ce-Ce Interaction in CeB 6 and Its Consequences journal June 1999
Antiferroquadrupolar Ordering and Magnetic Properties of the Tetragonal DyB 2 C 2 Compound journal June 1999
Anisotropic Magnetic Phase Diagram of PrB 6 Dominated by the O x y Antiferro-Quadrupolar Interaction journal June 2001
Antiferro-Quadrupole Ordering of CeB 6 Studied by Resonant X-Ray Scattering journal July 2001
Interpocket Polarization Model for Magnetic Structures in Rare-Earth Hexaborides journal November 2002
Temperature and Field Dependence of Multipolar Excitations in CeB 6 journal December 2003
Frustrating Quadrupolar Interaction and Possible Pressure Effects in PrOs 4 Sb 12 journal November 2006
Multipole Orders and Fluctuations in Strongly Correlated Electron Systems journal July 2009
Pressure Effects on Quadrupolar and Magnetic Ordering in HoB 2 C 2 Observed by Single-Crystal Neutron Diffraction journal March 2012

Cited By (1)

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