Spin-Orbital-Intertwined Nematic State in FeSe

Abstract

The importance of the spin-orbit coupling (SOC) effect in Fe-based superconductors (FeSCs) has recently been under hot debate. Considering the Hund's coupling-induced electronic correlation, the understanding of the role of SOC in FeSCs is not trivial and is still elusive. Here, through a comprehensive study of 77Se and 57Fe nuclear magnetic resonance, a nontrivial SOC effect is revealed in the nematic state of FeSe. First, the orbital-dependent spin susceptibility, determined by the anisotropy of the 57Fe Knight shift, indicates a predominant role from the 3dxy orbital, which suggests the coexistence of local and itinerant spin degrees of freedom (d.o.f.) in the FeSe. Then, we reconfirm that the orbital reconstruction below the nematic transition temperature (Tnem ~ 90 K) happens not only on the 3dxz and 3dyz orbitals but also on the 3dxy orbital, which is beyond a trivial ferro-orbital order picture. Moreover, our results also indicate the development of a coherent coupling between the local and itinerant spin d.o.f. below Tnem, which is ascribed to a Hund's coupling-induced electronic crossover on the 3dxy orbital. Finally, due to a nontrivial SOC effect, sizable in-plane anisotropy of the spin susceptibility emerges in the nematic state, suggesting a spin-orbital-intertwined nematicity rather than simply spin- or orbital-driven nematicity}. The present work not only reveals a nontrivial SOC effect in the nematic state but also sheds light on the mechanism of nematic transition in FeSe.

arXiv comment11 pages, 5 figures, supplementary information available upon request

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• FeSe and the missing electron pocket problem
• Inhomogeneous Knight shift in vortex cores of superconducting FeSe
• Magnetic-Field-Induced Spin Nematicity in FeSe1-xSx and FeSe1-yTey Superconductor Systems
• Superconductivity of highly spin-polarized electrons in FeSe probed by ${}^{77}$Se NMR
• Electric probe for the toric code phase in Kitaev materials through the hyperfine interaction
• Mapping out the spin fluctuations in Co-doped LaFeAsO single crystals by NMR
• Unusual band splitting and superconducting gap evolution with sulfur substitution in FeSe
• Suppression of nematicity by tensile strain in multilayer FeSe/SrTiO${}_3$ films
• Electron-Nuclear Hyperfine Coupling in Quantum Kagome Antiferromagnets from First-Principles Calculation and a Reflection of the Defect Effect
• Dynamics of orbital degrees of freedom probed via isotope ${}^{121,123}$ Sb nuclear quadrupole moments in Sb-substituted iron-pnictide superconductors
• Edwards-Anderson parameter and local Ising-nematicity in FeSe revealed via NMR spectral broadening
• Acoustic lattice instabilities at the magneto-structural transition in Fe${}_{1.057(7)}$Te
• Feedback of non-local $d_{xy}$ nematicity on the magnetic anisotropy in FeSe