J. Phys. Soc. Jpn. 89, 074702 (2020) [8 Pages]
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Dzyaloshinskii–Moriya Interaction between Multipolar Moments in 5d1 Systems

Masashi Hosoi1, , Tomonari Mizoguchi2, Taichi Hinokihara1, Hiroyasu Matsuura1, and Masao Ogata1
+ Affiliations
1Department of Physics, University of Tokyo, Bunkyo, Tokyo 113-0033, Japan2Department of Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
Received January 21, 2020; Accepted May 11, 2020; Published June 8, 2020

We propose a new type of Dzyaloshinskii–Moriya (DM) interactions which act on high-rank multipolar moments such as quadrupolar and octupolar moments. Here we consider 5d1 systems with broken spatial inversion symmetry, where the interplay of electron correlation, the spin–orbit coupling, and inversion symmetry breaking plays crucial roles. Using a numerical diagonalization on a two-site multi-orbital Hubbard model, we reveal that anti-symmetric products of multipole operators have finite expectation values, indicating the existence of DM interactions for multipoles. We also find that the spin–orbit coupling dependences of DM interactions for multipoles are significantly different depending on the lattice structure. Finally, we discuss the numerical results for small and large spin–orbit coupling region by using perturbative analysis.

©2020 The Physical Society of Japan
https://doi.org/10.7566/JPSJ.89.074702

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