Spin-Driven Nematic Instability of the Multi-Orbital Hubbard Model: Application to Iron-Based Superconductors

Abstract

Nematic order resulting from the partial melting of density-waves has been proposed as the mechanism to explain nematicity in iron-based superconductors. An outstanding question, however, is whether the microscopic electronic model for these systems -- the multi-orbital Hubbard model -- displays such an ordered state as its leading instability. In contrast to usual electronic instabilities, such as magnetic and charge order, this fluctuation-driven phenomenon cannot be captured by the standard RPA method. Here, by including fluctuations beyond RPA in the multi-orbital Hubbard model, we derive its nematic susceptibility and contrast it with its ferro-orbital order susceptibility, showing that its leading instability is the spin-driven nematic phase. Our results also demonstrate the primary role played by the $d_{xy}$ orbital in driving the nematic transition, and reveal that high-energy magnetic fluctuations are essential to stabilize nematic order in the absence of magnetic order.

arXiv comment8 pages, 6 figures

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• Interplay of nematic and magnetic orders in FeSe under pressure
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• Orbital mismatch boosting nematic instability in iron-based superconductors
• Spin Waves in Detwinned BaFe${}_2$As${}_2$
• Double stage nematic bond-ordering above double stripe magnetism: application to BaTi${}_2$Sb${}_2$O
• Role of multiorbital effects in the magnetic phase diagram of iron-pnictides
• Singular magnetic anisotropy in the nematic phase of FeSe
• Nematicity and superconductivity: Competition versus cooperation
• Orbital-selective spin waves in detwinned NaFeAs
• Intertwined spin-orbital coupled orders in the iron-based superconductors
• Inter-orbital nematicity and the origin of a single electron Fermi pocket in FeSe
• Effect of disorder on the competition between nematic and superconducting order in FeSe
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