Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets

Abstract

A skyrmion crystal (SkX) expressed as a multiple number of spiral modulations manifests itself not only in its peculiar magnetic texture but also in nontrivial transport properties originating from an emergent magnetic field. We here report our numerical results for multiple SkXs in a centrosymmetric tetragonal crystal system. By performing simulated annealing for an effective spin model for itinerant magnets, we find that three types of the SkXs with the skyrmion numbers of one and two, which are characterized by different superpositions of helices, are stabilized in the ground state, and are transformed by an external magnetic field. The essence of the emergent multiple SkXs is lied in itinerant frustration where exchange interactions are competed in momentum space due to the nature of itinerant electrons.

6 pages, 4 figures

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• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization
• Ferroaxial moment induced by vortex spin texture
• Anisotropic skyrmion and multi-$q$ spin dynamics in centrosymmetric Gd${}_2$PdSi${}_3$
• Skyrmion and vortex crystals in the Hubbard model
• Anisotropic spin model and multiple-$Q$ states in cubic systems
• Stability of Skyrmion Crystal Phase in Centrosymmetric Distorted Triangular-Lattice Antiferromagnets
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• From chiral spin liquids to skyrmion fluids and crystals, and their interplay with itinerant electrons
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• Antiferro skyrmion crystal phases in a synthetic bilayer antiferromagnet under an in-plane magnetic field
• Experimental progress in Eu(Al,Ga)${}_4$ topological antiferromagnets
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Magnetic bubble crystal in tetragonal magnets
• Checkerboard bubble lattice formed by octuple-period quadruple-$Q$ spin density waves
• Anisotropic skyrmion crystal on a centrosymmetric square lattice under an in-plane magnetic field
• Engineering a skyrmion crystal in ferromagnetic/antiferromagnetic bilayers free from the DM interaction
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• Bimeron Crystals by a Linearly Polarized AC Electric Field in Frustrated Magnets
• Origin of multiple skyrmion phases in EuAl4
• Three-sublattice antiferro-type and ferri-type skyrmion crystals in centrosymmetric magnets
• Correlation between Complex Spin Textures and the Magnetocaloric and Hall Effects in Eu(Ga${}_{1-x}$Al${}_x$)${}_4$ ($x$ = 0.9, 1)
• Field-induced transformation between triangular and square skyrmion crystals in a tetragonal polar magnet
• Square skyrmion lattice in multiorbital $f$-electron systems
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• Effects of crystal field and momentum-based frustrated exchange interactions on multiorbital square skyrmion lattice
• Field-tunable quadruple-$Q$ states driven by momentum-space frustration
• Topological phase transitions by time-dependent electromagnetic fields in frustrated magnets: Role of dynamical and static magnetic fields