Odd-Parity Multipoles by Staggered Magnetic Dipole and Electric Quadrupole Orderings in CeCoSi

Abstract

We investigate a possibility of odd-parity multipole orderings in a locally noncentrosymmetric tetragonal compound CeCoSi. By performing symmetrical and microscopic mean-field analyses on a two-orbital tight-binding model, we propose potential odd-parity multipoles hidden in staggered antiferromagnetic and antiferroquadrupole orderings in CeCoSi. We show that $3z^2-r^2$ type of the magnetic quadrupole is induced by the staggered magnetic dipole ordering for a large crystal-field splitting between two orbitals, while $xy$ type of the electric toroidal quadrupole is emergent by the staggered electric quadrupole ordering for a small crystal-field splitting. Furthermore, we discuss a magneto-electric effect and elastic-electric effect due to the odd-parity multipoles, which will be useful to identify order parameters in CeCoSi.

5 pages, 2 figures, accepted for publication in J. Phys. Soc. Jpn

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• NQR and NMR spectra in odd-parity multipole material CeCoSi
• Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering
• Structural Transition in the Hidden Ordered Phase of CeCoSi
• Unusual Nonmagnetic Ordered State in CeCoSi Revealed by ${}^{59}$Co-NMR and NQR Measurements
• Ferroic quadrupolar ordering in CeCoSi revealed using ${}^{59}$Co-NMR measurements
• RKKY Interactions and Multipole Order in Ab initio Wannier Model of CeCoSi