Possible Bicollinear Nematic State with Monoclinic Lattice Distortions in Iron Telluride Compounds

Abstract

Iron telluride FeTe is known to display bicollinear magnetic order at low temperatures together with a monoclinic lattice distortion. Because the bicollinear order can involve two different wavevectors $(\pi /2,\pi /2)$ and $(\pi /2,-\pi /2)$, symmetry considerations allow for the possible stabilization of a nematic state with short-range bicollinear order coupled to monoclinic lattice distortions at a $T_S$ higher than the temperature $T_N$ where long-range bicollinear order fully develops. As a concrete example, the three-orbitals spin-fermion model for iron telluride is studied with an additional coupling ${\tilde{\lambda }}_{12}$ between the monoclinic lattice strain and an orbital-nematic order parameter with $B_{2g}$ symmetry. Monte Carlo simulations show that with increasing ${\tilde{\lambda }}_{12}$ the first-order transition characteristic of FeTe splits and bicollinear nematicity is stabilized in a (narrow) temperature range. In this new regime the lattice is monoclinically distorted and short-range spin and orbital order breaks rotational invariance. A discussion of possible realizations of this exotic state is provided.

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• Evolution from $B_{2g}$ nematics to $B_{1g}$ nematics in heavily hole-doped iron-based superconductors
• Broken mirror symmetry, incommensurate spin correlations, and $B_{2g}$ nematic order in iron pnictides
• Intertwined spin-orbital coupled orders in the iron-based superconductors
• Density Matrix Renormalization Group Study of Nematicity in Two Dimensions: Application to a Spin-$1$ Bilinear-Biquadratic Model on the Square Lattice
• Nematic Fluctuations in an Orbital Selective Superconductor Fe${}_{1+y}$Te${}_{1-x}$Se${}_x$