Field-tunable quadruple- states driven by momentum-space frustration
arXiv:2606.22133 · doi:10.5488/cmp.29.23705
Abstract
Multiple- magnetism in itinerant electron systems enables complex spin crystals and noncoplanar textures even in centrosymmetric settings. We study a minimal momentum-space spin model on a square lattice with four symmetry-related ordering wave vectors, including bilinear and biquadratic interactions under an out-of-plane magnetic field. Using simulated annealing, we obtain the field-dependent phase diagram and identify successive transitions among single-, double-, and multiple inequivalent quadruple- states. The quadruple- manifold exhibits rich internal structures: the states sharing the same wave vectors differ in phase locking, amplitude distribution, and noncoplanarity, leading to distinct real-space textures and scalar spin chirality patterns. Our results demonstrate that momentum-space frustration and biquadratic coupling provide an efficient route to stabilizing diverse quadruple- spin crystals, offering a general framework for higher-order spin textures in centrosymmetric itinerant magnets.
21 pages, 18 figures
References in corpus (38)
- Spontaneous Skyrmion Ground States in Magnetic Metals
- Scalar spin chirality and quantum Hall effect on a triangular lattice
- Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
- Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
- Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
- Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings
- Compact Skyrmions, Merons and Bimerons in Thin Chiral Magnetic Films
- Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals
- Square skyrmion crystal in centrosymmetric itinerant magnets
- Unconventional Anomalous Hall Effect in the Metallic Triangular-Lattice Magnet PdCrO2
- Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
- Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
- Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
- Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
- Field-Direction Sensitive Skyrmion Crystals in Cubic Chiral Systems: Implication to -Electron Compound EuPtSi
- Novel magnetic orderings in the kagome Kondo-lattice model
- Controllable chirality-induced geometrical Hall effect in a frustrated highly-correlated metal
- Degeneracy Lifting of Néel, Bloch, and Anti-Skyrmion Crystals in Centrosymmetric Tetragonal Systems
- Magnetoelastic Coupling and Phases in the Skyrmion Lattice Magnet Gd2PdSi3 Discovered by High-resolution Dilatometry
- Nonlinear nonreciprocal transport in antiferromagnets free from spin-orbit coupling
- Helicity locking of square skyrmion crystal in a centrosymmetric lattice system without vertical mirror symmetry
- Locking of skyrmion cores on a centrosymmetric discrete lattice: onsite versus offsite
- Stabilization mechanisms of magnetic skyrmion crystal and multiple- states based on momentum-resolved spin interactions
- Insight into the electronic structure of the centrosymmetric skyrmion magnet GdRuSi
- Quantum oscillations in a centrosymmetric skyrmion-hosting magnet GdRu2Si2
- Multifarious skyrmion phases on a trilayer triangular lattice
- Low-Energy Excitations of Skyrmion Crystals in a Centrosymmetric Kondo-Lattice Magnet: Decoupled Spin-Charge Excitations and Nonreciprocity
- Anisotropy driven response of skyrmion lattice in MnScS to applied magnetic fields
- Emergent SU(3) magnons and thermal Hall effect in the antiferromagnetic skyrmion lattice
- Chiral spin density wave order on frustrated honeycomb and bilayer triangle lattice Hubbard model at half-filling
- Distorted triangular skyrmion lattice in a noncentrosymmetric tetragonal magnet
- Single helicity of the triple- triangular skyrmion lattice state in cubic chiral helimagnet EuPtSi
- Ferroaxial moment induced by vortex spin texture
- Pseudogap and Fermi arc induced by Fermi surface nesting in a centrosymmetric skyrmion magnet
- Theoretical Analysis of the "Double-q" Magnetic Structure of CeAl2
- Fragmented spin ice and multi- ordering in rare-earth antiperovskites
- SP-STM study of the multi-Q phases in GdRu2Si2
- Optical gyrotropy in quadrupolar Kondo systems