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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

The Magnetic Ground State of a Thin-Film Element

Wolfgang Rave, Steven Zielke and Alex Hubert


By means of 3D numerical calculations we studied possible micromagnetic configurations in a rectangular Permalloy-like thin-film element. The parameters were chosen to be compatible with the so-called micromagnetic standard problem #1.

It is demonstrated that for these parameters a diamond domain pattern is the lowest energy state which replaces cross-tie patterns favourable in larger elements. Only at smaller sizes the originally envisaged Landau pattern forms the ground state.

The transition to high-remanence structures (or what would be comparable to a 'single-domain' state) is found for lateral sizes which are an order of magnitude smaller than the benchmark parameters.

The transitions among the different domain patterns become plausible by considering the energy of symmetric Néel walls in extended thin films. The features of the high-remanence structures can be derived from the principle of uniform charge distribution.


Related publications

2000 Repository Open Access
Alex Hubert, Steven Zielke and Wolfgang Rave

Magnetic ground state of a thin-film element

In: IEEE transactions on magnetics, 36 (2000) 6, pp. 3886-3899