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 order parameters and the details of intermultipolar interactions that stabilize hidden-order phases.
Original language | English |
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Article number | 021010 |
Journal | Physical Review X |
Volume | 10 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2020 |
Funding
We thank Philippe Boutrouille (LLB), Ralf Feyerherm, Bastian Klemke, and Klaus Kiefer (HZB) for technical support during the experiments. A. A. and P. T. thank Ryousuke Shiina for help with the computations. Reduction of the TOF data was done using the H orace software package . This project was funded by the German Research Foundation (DFG) under the individual Grant No. IN209/3-2, from the projects C03 and C06 of the Collaborative Research Center SFB1143 at the TU Dresden (project-id 247310070), and via the Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter—ct.qmat (EXC 2147, project-id 39085490). A. A. acknowledges financial support from the National Research Foundation (NRF) funded by the Ministry of Science of Korea (Grants No. 2016K1A4A01922028, No. 2017R1D1A1B03033465, and No. 2019R1H1A2039733). S. E. N. acknowledges support from the International Max Planck Research School for Chemistry and Physics of Quantum Materials (IMPRS-CPQM). Research at Oak Ridge National Laboratory’s Spallation Neutron Source was supported by the Scientific User Facilities Division, Office of Basic Energy Sciences, U.S. Department of Energy.
Funders | Funder number |
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Ministry of Science of Korea | 2019R1H1A2039733, 2016K1A4A01922028, 2017R1D1A1B03033465 |
Scientific User Facilities Division | |
U.S. Department of Energy | |
Basic Energy Sciences | |
Oak Ridge National Laboratory | |
Deutsche Forschungsgemeinschaft | IN209/3-2, SFB1143 |
Technische Universität Dresden | 39085490, EXC 2147, 247310070 |
National Research Foundation of Korea | |
International Max Planck Research School for Chemistry and Physics of Quantum Materials |