Incommensurate spiral order from double exchange interactions

Abstract

The double exchange model describing interactions of itinerant electrons with localized spins is usually used to explain ferromagnetism in metals. We show that for a variety of crystal lattices of different dimensionalities and for a wide range of model parameters the ferromagnetic state is unstable against a non-collinear spiral magnetic order. We revisit the phase diagram of the double exchange model on a triangular lattice and show in a large part of the diagram the incommensurate spiral state has a lower energy than the previously discussed commensurate states. These results indicate that double exchange systems are inherently frustrated and can host unconventional spin orders.

References in corpus (16)

• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
• Phase Separation in Electronic Models for Manganites
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Bubble and Skyrmion Crystals in Frustrated Magnets with Easy-Axis Anisotropy
• Double-exchange via degenerate orbitals
• Versatile helimagnetic phases under magnetic fields in cubic perovskite SrFeO3
• Helicoidal ordering in iron perovskites
• Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
• Itinerant half-metal spin-density-wave state on the hexagonal lattice
• Frustration-induced insulating chiral spin state in itinerant triangular-lattice magnets
• Chirality waves in two-dimensional magnets
• 3D Dirac Electrons on a Cubic Lattice with Noncoplanar Multiple-Q Order
• Interplay of Magnetic Order, Pairing and Phase Separation in a One Dimensional Spin Fermion Model
• Short-Range Ordered Phase of the Double-Exchange Model in Infinite Dimensions
• Low-temperature magnetic properties of the Kondo lattice model in one dimension

Cited by in corpus (16)

• Topological spin crystals by itinerant frustration
• Emergent topological spin structures in a centrosymmetric cubic perovskite
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Itinerancy-dependent non-collinear spin textures in SrFeO3, CaFeO3, and CaFeO3/SrFeO3 heterostructures probed via resonant x-ray scattering
• Magnetic Hedgehog Lattice in a Centrosymmetric Cubic Metal
• Real-Space Observation of Ligand Hole State in Cubic Perovskite SrFeO${}_3$
• Magnetic-field-induced incommensurate to collinear spin order transition in NiBr${}_2$
• Dynamics of Phase Separated States in the Double Exchange Model
• Phase Switch Driven by the Hidden Half-Ice, Half-Fire State in a Ferrimagnet
• Phase Diagram of the Shastry-Sutherland Kondo Lattice Model with Classical Localized Spins: A Variational Calculation Study
• Nontrivial topology and localization in the double exchange model with possible applications to perovskite manganites
• Double exchange, itinerant ferromagnetism and topological Hall effect in moiré heterobilayer
• Electrically-excited Motion of Topological Defects in Multiferroic Materials
• Machine-learning force-field models for dynamical simulations of metallic magnets
• Machine-learning modeling of magnetization dynamics in quasi-equilibrium and driven metallic spin systems
• Magnetic order and transport in a spin-fermion model on a superlattice