Abstract
We use inelastic neutron scattering to study spin waves below and above ${T}_{N}$ in iron-arsenide BaFe${}_{2}$As${}_{2}$. In the low-temperature orthorhombic phase, we find highly anisotropic spin waves with a large damping along the antiferromagnetic $a$-axis direction. On warming the system to the paramagnetic tetragonal phase, the low-energy spin waves evolve into quasi-elastic excitations, while the anisotropic spin excitations near the zone boundary persist. These results strongly suggest the presence of a spin nematic fluid in the tetragonal phase of BaFe${}_{2}$As${}_{2}$, which may cause the electronic and orbital anisotropy observed in these materials.
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