Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces

Abstract

We propose a general mechanism of multiple-Q ordering with noncollinear and noncoplanar spin textures in itinerant magnets. By analyzing the fourth-order perturbation with respect to the spin-charge coupling, we find that the instability toward multiple-Q ordering is caused by (d-2)-dimensional connections of the Fermi surfaces in the extended Brillouin zone by the multiple-Q wave vectors: zero(one)-dimensional point (line) connections in the two(three)-dimensional systems. The instabilities are obtained as the "fixed points" in the two-parameter flow diagram, irrespective of lattice structures. The hidden Fermi surface instability provides a universal origin of noncollinear and noncoplanar instabilities common to frustrated and unfrustrated lattice systems.

5 pages, 4 figures

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• Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization
• Coupled spin-charge order in frustrated itinerant triangular magnets
• Spontaneous formation of kagome network and Dirac half-semimetal on a triangular lattice
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• Scanning tunneling spectroscopy as a probe of multi-Q magnetic states of itinerant magnets
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• Stability of Skyrmion Crystal Phase in Centrosymmetric Distorted Triangular-Lattice Antiferromagnets
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