**Authors:**

Oleksandr V. Pylypovskyi, Denis D. Sheka, Yuri Gaididei

**Publication:**

Phys. Rev. B 85, 224401 (2012), 10.1103/PhysRevB.85.224401

**Comments:**

8 pages, 7 figures

**arXiv:**

http://arxiv.org/abs/1112.2413

The micromagnetic singularity, the so–called Bloch point, can form a metastable state in the nanosphere. We classify possible types of Bloch points and derive analytically the shape of magnetization distribution inside diﬀerent Bloch point. We show that external gradient ﬁeld can stabilize the Bloch point: the shape of the Bloch point becomes radial–dependent one and compute the magnetization structure of the nanosphere, which is in a good agrement with performed spin–lattice simulations.

## Supplementary materials

Bloch point relaxation in a nanosphere

Sphere diamter | |

Exchange length | |

External magnetic field | |

Damping parameter | |

Time is measured in |

Here is lattice constant.