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Polarity control of a skyrmion in a helimagnet nanodisk by fixing magnetization at the boundary

We demonstrate that the polarity of a skyrmion in a nanodisk can be controlled by fixing the direction of magnetization at the disk boundary. First, we theoretically demonstrate that fixing the direction of the magnetization at the disk edge can break the energy degeneracy of the skyrmion with different polarities. Then, we present the phase diagrams of the ground state for a helimagnetic nanodisk with different radii as functions of the direction of the magnetization at the disk edge and anisotropy constant. It shows that the polarity of the skyrmion alternately changes between p  =  1 and  −1 with the angle between the magnetization at the disk edge and z-axis increasing from 0 to 2π. Finally, we conduct the micromagnetic simulations and confirm the calculation results.