Magnetic element including a first ferromagnetic layer having a first magnetization including a stable magnetization vortex configuration having a vortex core. The first ferromagnetic layer includes an indentation configured such that the vortex core nucleates substantially at the indentation. Upon application of an external magnetic field in a first field direction, the vortex core moves along a first path and the first magnetization rotates around the vortex core in a counterclockwise direction. Upon application of the external magnetic field in a second field direction opposed to the first field direction, the vortex core moves along a second path and the first magnetization rotates around the vortex core in a clockwise direction. Both the first and second field path are substantially identical and move the vortex core away from the indentation.