Multipolar phases and magnetically hidden order: Review of the heavy-fermion compound Ce(1-x)La(x)B6

Abstract

Cerium hexaboride is a cubic f-electron heavy-fermion compound that displays a rich array of low-temperature magnetic ordering phenomena which have been the subject of investigation for more than 50 years. Its complex behaviour is the result of competing interactions, with both itinerant and local electrons playing important roles. Investigating this material has proven to be a substantial challenge, in particular because of the appearance of a "magnetically hidden order" phase, which remained elusive to neutron-scattering investigations for many years. It was not until the development of modern x-ray scattering techniques that the long suspected multipolar origin of this phase was confirmed. Doping with non-magnetic lanthanum dilutes the magnetic cerium sublattice and reduces the f-electron count, bringing about substantial changes to the ground state with the emergence of new phases and quantum critical phenomena. To this day, Ce(1-x)La(x)B6 and its related compounds remain a subject of intense interest. Despite the substantial progress in understanding their behaviour, they continue to reveal new and unexplained physical phenomena. Here we present a review of the accumulated body of knowledge on this family of materials in order to provide a firm standpoint for future investigations.

Review article: 43 pages, 17 figures, 178 references

References in corpus (18)

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Cited by in corpus (35)

• First-principles theory of magnetic multipoles in condensed matter systems
• Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO${}_4$
• Possible quadrupole density wave in the superconducting Kondo lattice CeRh2As2
• Unconventional density waves and superconductivities in Fe-based superconductors and other strongly correlated electron systems
• Hidden order and multipolar exchange striction in a correlated f-electron system
• Multipole fluctuation theory for heavy fermion systems: Application to multipole orders in CeB6
• Fermi Surface Nesting with Heavy Quasiparticles in the Locally Noncentrosymmetric Superconductor CeRh${}_2$As${}_2$
• Chemical and valence reconstruction at the surface of SmB6 revealed with resonant soft x-ray reflectometry
• Compressible Ferrimagnetism in the depleted Periodic Anderson Model
• Derivation of RKKY Interaction between Multipole Moments in CeB${}_6$ by the Effective Wannier Model based on the Bandstructure Calculation
• Collective infrared excitation in rare-earth Gd${}_x$La${}_{1-x}$B${}_6$ hexaborides
• Raman spectroscopy of $f$-electron metals: an example of CeB${}_6$
• Field-angle resolved magnetic excitations as a probe of hidden-order symmetry in CeB6
• Triple-$q$ quadrupole-octupole order scenario for PrV${}_2$Al${}_{20}$
• The quartet ground state in CeB${}_6$: an inelastic x-ray scattering study
• Doping-induced redistribution of magnetic spectral weight in substituted hexaborides Ce${}_{1-x}$La${}_x$B${}_6$ and Ce${}_{1-x}$Nd${}_x$B${}_6$
• Hidden orders in spin-orbit entangled correlated insulators
• Large positive correlation between the effective electron mass and the multipolar fluctuation in the heavy-fermion metal Ce${}_{1-x}$La${}_x$B${}_6$
• Incommensurate short-range multipolar order parameter of phase II in Ce3Pd20Si6
• Lattice dynamics, crystal-field excitations and quadrupolar fluctuations of YbRu${}_2$Ge${}_2$
• Hidden Charge Order in an Iron Oxide Square-Lattice Compound
• Bulk Electronic Structure of Lanthanum Hexaboride (LaB6) by Hard X-ray Angle-Resolved Photoelectron Spectroscopy
• Magnetic field dependence of the neutron spin resonance in CeB6
• Mean-field Study of Antiferromagnetic and Antiferroquadrupolar Orderings in Tetragonal CeCoSi
• Field-Tuned Quantum Effects in a Triangular-Lattice Ising Magnet
• Non-Fermi liquid behavior and quantum criticality in cubic heavy fermion systems with non-Kramers multipolar local moments
• Evolution of the propagation vector of antiferroquadrupolar phases in Ce3Pd20Si6 with magnetic field
• Cascade of magnetic-field-driven quantum phase transitions in Ce3Pd20Si6
• Local origin of the strong field-space anisotropy in the magnetic phase diagrams of Ce${}_{1-x}$La${}_x$B${}_6$ measured in a rotating magnetic field
• Quantum chemical insights into hexaboride electronic structures: correlations within the boron $p$-orbital subsystem
• Crystal-field effects competing with spin-orbit interactions in NaCeO${}_2$
• RKKY interactions of CeB6 based on effective Wannier model
• Anomalous 4$f$ fine structure in TmSe${}_{1-x}$Te${}_x$ across the metal-insulator transition
• 5d-mediated indirect exchange and effective spin Hamiltonians in Ce triangular-lattice delafossites
• Novel Magnetoacoustic Resonance Technique for Exploring Hidden Quadrupoles in a Crystal Field Quartet