J. Phys. Soc. Jpn. 87, 033710 (2018) [5 Pages]

Rare-Earth Fourth-Order Multipole Moment in Cubic ErCo2 Probed by Linear Dichroism in Core-Level Photoemission

+ Affiliations
1Department of Physical Sciences, Graduate School of Science and Engineering, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan2Division of Materials Physics, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8533, Japan3Faculty of Science and Engineering, Setsunan University, Neyagawa, Osaka 572-8508, Japan4Faculty of Science and Engineering, Konan University, Higashinada, Kobe 658-8501, Japan5RIKEN SPring-8 Center, Sayo, Hyogo 679-5148, Japan6Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 18040 Prague 8, The Czech Republic7Department of Physics, Kyushu University, Fukuoka 819-0395, Japan

We developed a method to experimentally quantify the fourth-order multipole moment of the rare-earth 4f orbital. Linear dichroism (LD) in the Er 3d5/2 core-level photoemission spectra of cubic ErCo2 was measured using bulk-sensitive hard X-ray photoemission spectroscopy. Theoretical calculation reproduced the observed LD, and the result showed that the observed result does not contradict the suggested \(\Gamma _{8}^{3}\) ground state. Theoretical calculation further showed a linear relationship between the LD size and the size of the fourth-order multipole moment of the Er3+ ion, which is proportional to the expectation value \(\langle O_{4}^{0} + 5O_{4}^{4}\rangle \), where \(O_{n}^{m}\) are the Stevens operators. These analyses indicate that the LD in 3d photoemission spectra can be used to quantify the average fourth-order multipole moment of rare-earth atoms in a cubic crystal electric field.

©2018 The Physical Society of Japan


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