Magnetic instability under ferroaxial moment

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Abstract
Magnetic anisotropy is one of the important factors in determining magnetic structures. The type of magnetic anisotropy is closely related to the symmetry of crystals. We theoretically investigate magnetic anisotropy and its related magnetic instability arising from an electric axial moment, which appears under the breaking of the mirror symmetry parallel to the moment but does not require the breakings of both spatial inversion and time-reversal symmetries. By performing perturbation and mean-field calculations in a complementary way, we show the appearance of the in-plane magnetic anisotropy when the electric axial moment occurs, which tends to tilt in-plane spin moments from the crystal axes in collaboration with relativistic spin-orbit coupling. We demonstrate such a tendency for single-sublattice and four-site cluster models. In the four-site cluster model, we show that a spin configuration consisting of magnetic monopole and magnetic toroidal dipole tends to be realized in the region where a spin vortex is stabilized by the exchange interactions.
Funding Information
  • Japan Society for the Promotion of Science (JP21H01037, JP22H04468, JP22H00101, JP22H01183, JP23K03288, JP23H04869)
  • Japan Science and Technology Corporation (JPMJPR20L8, JPMJCR23O4)

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