Stable micromagnetic configurations are investigated numerically in thin soft type ferromagnetic elements of elliptical shape with typical thickness of Lz=30 nm and with aspect ratios 1⩽Lx/Ly⩽3.5. In this range of aspect ratios, a complete description of stable magnetization patterns is obtained including the critical sizes for stability of one-vortex and quasiuniform micromagnetic configurations. Due to the absence of sharp corners, the behavior of the quasiuniform state in an external magnetic field resembles that of a single-domain ellipsoidal particle of similar shape. Nevertheless, the calculated hysteresis loops of elliptical elements show a considerable reduction of the switching fields in comparison with the Stoner–Wohlfarth model due to the development of a new mode of instability. The magnetization curves for elliptical elements, initially in one-, two- or three- vortex states, show significant dependence on the direction of external magnetic field with respect to the longest particle’s axis.
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Usov et al. (2001) studied this question.
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