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The interplay between structure, magnetism and superconductivity in singlecrystal Ba(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$ (x=0.047) has been studied usinghigh-resolution X-ray diffraction by monitoring charge Bragg reflections ineach twin domain separately. The emergence of the superconducting state iscorrelated with the suppression of the orthorhombic distortion around\emph{T}$_\texttt{C}$, exhibiting competition between orthorhombicity andsuperconductivity. Above \emph{T}$_\texttt{S}$, the in-plane charge correlationlength increases with the decrease of temperature, possibly induced by nematicfluctuations in the paramagnetic tetragonal phase. Upon cooling, anomalies inthe in-plane charge correlation lengths along $a$ ($\xi_{a}$) and $b$ axes($\xi_{b}$) are observed at \emph{T}$_\texttt{S}$ and also at\emph{T}$_\texttt{N}$ indicative of strong magnetoelastic coupling. Thein-plane charge correlation lengths are found to exhibit anisotropic behavioralong and perpendicular to the in-plane component of stripe-type AFM wavevector (101)$_{\rm O}$ below around \emph{T}$_\texttt{N}$. The temperaturedependence of the out-of-plane charge correlation length shows a single anomalyat \emph{T}$_\texttt{N}$, reflecting the connection between Fe-As distance andFe local moment. The origin of the anisotropic in-plane charge correlationlengths $\xi_{a}$ and $\xi_{b}$ is discussed on the basis of the antiphasemagnetic domains and their dynamic fluctuations.

physical review. b, condensed matter and materials physics

Magnetoelastic coupling and charge correlation lengths in a twin domain  of Ba(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$ ($x=0.047$): A high-resolution X-ray  diffraction study