Spin and quadrupolar orders in the spin-1 bilinear-biquadratic model for iron-based superconductors

Abstract

Motivated by recent experimental and theoretical progresses of the magnetic properties of iron-based superconductors, we provide a comprehensive analysis of the spin-1 bilinear-biquadratic (BBQ) model on the square lattice. Using variational approach in the mean-field level, we identify the existence of various magnetic phases, including conventional spin dipolar orderings (ferro- or antiferromagnet), novel quadrupolar (spin nematic) orderings and mixed dipolar-quadrupolar orderings. In contrast to the usual Heisenberg model, the elementary excitations of the spin-1 BBQ model are described by the flavor-wave theory within the SU(3) representation. By fitting the experimental spin-wave dispersion, we determine the refined exchange couplings corresponding to the collinear antiferromagnetic iron pnictides. We also present the dynamic structure factors of both spin dipolar and quadrupolar components with connections to the future experiments.

10 pages, 11 figures

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Cited by in corpus (8)

• Semi-classical simulation of spin-1 magnets
• Possible Nematic Spin Liquid in Spin-$1$ Antiferromagnetic System on the Square Lattice: Implication for the Nematic Paramagnetic State of FeSe
• Strong ferromagnetic exchange interaction in the parent state of the superconductivity in BaFe${}_2$S${}_3$
• Linear Flavor-Wave Theory for Fully Antisymmetric $\mathrm{SU}(N)$ Irreducible Representations
• Spin-one bilinear-biquadratic model on a star lattice
• Anisotropic magnetic excitations of a frustrated bilinear-biquadratic spin model -- Implications for spin waves of detwinned iron pnictides
• Coexistance of non-Fermi liquid behavior and bi-quadratic exchange coupling in La-substituted CeGe: Non-linear susceptibility and DFT + DMFT study
• Phases of frustrated quantum antiferromagnets on the square and triangular lattices