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With muon spin rotation ($ \mu $SR) we studied the transition between theorthorhombic antiferromagnetic (o-AF) and the tetragonal antiferromagnetic(t-AF) states of a weakly underdoped Ba$ _{1-x} $K$ _{x} $Fe$ _{2} $As$ _{2} $single crystal. We observed some characteristic changes of the magnitude andthe orientation of the magnetic field at the muon site which, due to the fairlyhigh point symmetry of the latter, allow us to identify the magnetic structureof the t-AF state. It is the so-called, inhomogeneous double-$\mathbf{Q}$magnetic structure with $ c $-axis oriented moments which has a vanishingmagnetic moment on half of the Fe sites.

europhysics letters

Muon-spin-rotation study of the magnetic structure in the tetragonal  antiferromagnetic state of weakly underdoped Ba$ _{1-x} $K$ _{x} $Fe$ _{2}  $As$ _{2} $