Noncollinear and noncoplanar magnetic order in the extended Hubbard model on anisotropic triangular lattice

Abstract

Motivated by the importance of non-collinear and non-coplanar magnetic phases in determining various electrical properties of magnetic materials, we investigate the phase diagrams of the extended Hubbard model on anisotropic triangular lattice. We make use of a mean-field scheme that treats collinear, non-collinear and non-coplanar phases on equal footing. In addition to the ferromagnetic and 120° antiferromagnetic phases, we find the four-sublattice flux, the 3Q non-coplanar and the non-collinear charge-ordered states to be stable at specific values of filling fraction $n$. Inter-site Coulomb repulsion leads to intriguing spin-charge ordered phases. Most notable of these are the collinear and non-collinear magnetic states at $n=2/3$, which occur together with a pinball-liquid-like charge order. Our results demonstrate that the elementary single-orbital extended Hubbard model on a triangular lattice hosts unconventional spin-charge ordered phases, which have been reported in more complex and material-specific electronic Hamiltonians relevant to layered triangular systems.

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• New Microscopic Magnetic Hamiltonian for Exotic Spin Textures in Metals
• Stability of the coexistence phase of chiral superconductivity and noncollinear spin ordering with a nontrivial topology and strong electron correlations
• Emergent lattices with geometrical frustration in doped extended Hubbard models
• Antiskyrmions and Bloch Skyrmions in Magnetic Dresselhaus Metals
• Geometric Frustration Assisted Kinetic Ferromagnetism in Doped Mott Insulators
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides