Non-collinear ground state from a four-spin chiral exchange in a tetrahedral magnet

Abstract

We propose a quartic chiral term $m_x{m}_y{m}_z\nabla \cdot \mathbf{m}$ for the energy density of a cubic ferromagnet with broken parity symmetry (point group $T_d$). We demonstrate that this interaction causes a phase transition from a collinear ferromagnetic state to a non-collinear magnetic cone ground state provided its strength exceeds the geometric mean of magnetic exchange and cubic anisotropy. The corresponding non-collinear ground state may also be additionally stabilized by an external magnetic field pointing along certain crystallographic directions. The four-spin chiral exchange does also manifest itself in peculiar magnon spectra and favors spin waves with the wave vector that is perpendicular to the average magnetization direction.

8 pages

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Cited by in corpus (5)

• Antichiral Ferromagnetism
• Quartic asymmetric exchange for two-dimensional ferromagnets with trigonal prismatic symmetry
• Signatures of quartic asymmetric exchange in a class of two dimensional magnets
• Reduced theory of symmetric and antisymmetric exchange interactions in nanowires
• Non-Lifshitz invariants corrections to Dzyaloshinskii-Moriya interaction energy