Spin Ferroquadrupolar Order in the Nematic Phase of FeSe

Abstract

We provide evidence that spin ferroquadrupolar (FQ) order is the likely ground state in the nonmagnetic nematic phase of stoichiometric FeSe. By studying the variational mean-field phase diagram of a bilinear-biquadratic Heisenberg model up to the 2nd nearest neighbor, we find the FQ phase in close proximity to the columnar antiferromagnet commonly realized in iron-based superconductors; the stability of FQ phase is further verified by the density matrix renormalization group. The dynamical spin structure factor in the FQ state is calculated with flavor-wave theory, which yields a qualitatively consistent result with inelastic neutron scattering experiments on FeSe at both low and high energies. We verify that FQ can coexist with $C_4$ breaking environments in the mean-field calculation, and further discuss the possibility that quantum fluctuations in FQ act as a source of nematicity.

8 pages, 7 figures, Erratum added

References in corpus (18)

• Superconductivity at 38 K in the iron arsenide (Ba1-xKx)Fe2As2
• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• High-temperature superconductivity in iron-based materials
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• Density functional study of FeS, FeSe and FeTe: Electronic structure, magnetism, phonons and superconductivity
• Extreme Sensitivity of Superconductivity to Stoichiometry in FeSe (Fe1+dSe)
• Theory of Electron Nematic Order in LaOFeAs
• Pressure induced superconductivity in CaFe${}_2$As${}_2$
• Orbital-driven nematicity in FeSe
• Emergence of the nematic electronic state in FeSe
• Magnetism in Fe-based superconductors
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Origin of the tetragonal-to-orthorhombic (nematic) phase transition in FeSe: a combined thermodynamic and NMR study
• Lifting of xz/yz orbital degeneracy at the structural transition in detwinned FeSe
• Strong $(\pi ,0)$ spin fluctuations in $\beta$-FeSe observed by neutron spectroscopy
• Pressure-induced antiferromagnetic transition and phase diagram in FeSe
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Accurate bare susceptibilities from full-potential $\text{ab initio}$ calculations

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