“…Typically, the free layer of a GMR element consists of a soft ferromagnetic material [ 35 ]. The formation of vortices in such submicron layers was theoretically and experimentally investigated in [ 36 , 37 , 38 , 39 ], showing that the formation of a vortex state highly depends on the aspect ratio of the layer. Ensuring a stable vortex appearance, this was complemented by Equation (3), which connects the layer thickness t L to the layer diameter d L and the exchange length of the material (l ex,L = √2A ex,L /µ 0 M s,L ²) [ 40 ].…”