## Bicollinear antiferromagnetic order, monoclinic distortion, and reversed resistivity anisotropy in FeTe as a result of spin-lattice coupling

The bicollinear antiferromagnetic order experimentally observed in FeTe is shown to be stabilized by the coupling g

^{~}_{12}between monoclinic lattice distortions and the spin-nematic order parameter with B_{2g}symmetry, within a three-orbital spin-fermion model studied with Monte Carlo techniques. A finite but small value of g^{~}_{12}is required, with a concomitant lattice distortion compatible with experiments, and a tetragonal-monoclinic transition strongly first order. Remarkably, the bicollinear state found here displays a planar resistivity with the reversed puzzling anisotropy discovered in transport experiments. Orthorhombic distortions are also incorporated, and phase diagrams interpolating between pnictides and chalcogenidesmore »
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