“…The single-domain diameter of the particle can be approximately determined by variational or analytical estimates, [7][8][9][10][11][12] or with the help of numerical simulation. [13][14][15][16][17][18][19] It was previously shown 18 that for homogeneous magnetic nanoparticles of a non ellipsoidal shape, such as a cube, a parallelepiped, or a cylinder, it is possible to introduce an effective single-domain diameter, D ef , such that for these particles with a characteristic size D < D ef the lowest energy configuration is a quasiuniform flower state. [19][20][21] In particular, it was shown 18 that the effective single-domain diameters for a cylinder with aspect ratio L x /L z = 1 and for a cube are approximately only 3% and 9% lower, respectively, than the single-domain diameter of an ideal sphere with the same magnetic parameters.…”