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Equilibrium magnetization states in thin spherical shells of a magneticallysoft ferromagnet are determined by the competition between two interactions:(i) The local exchange interaction favours the more homogeneous onion statewith magnetization oriented in meridian directions; such a state is realized inrelatively small particles. (ii) The nonlocal magnetostatic interaction prefersthe double-vortex configuration with the magnetization oriented in theparallels directions, since it minimizes the volume magnetostatic charges.These sates are topologically equivalent, in contrast to the same-name statesof magnetic nanoring. As a consequence, a continuous (the second order) phasetransition between the vortex and onion states takes place. The detailedanalytical description of the phase diagram is well confirmed by micromagneticsimulations.

Geometry induced phase transitions in magnetic spherical shell