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MiS Preprint

The Formation and Coarsening of the Concertina Pattern

Jutta Steiner, Holm Wieczoreck, Rudolf Schäfer, Jeffrey McCord and Felix Otto


The concertina is a magnetization pattern in elongated thin-film elements of a soft magnetic material. It is a ubiquitous domain pattern that occurs in the process of magnetization reversal in direction of the long axis of the small element.

Van den Berg argued that this pattern grows out of the flux closure domains as the external field is reduced. Based on experimental observations and theory, we argue that in sufficiently elongated thin-film elements, the concertina pattern rather bifurcates from an oscillatory buckling mode.

Using a reduced model derived by asymptotic analysis and investigated by numerical simulation, we quantitatively predict the average period of the concertina pattern and qualitatively predict its hysteresis. In particular, we argue that the experimentally observed coarsening of the concertina pattern is due to secondary bifurcations related to an Eckhaus instability.

We also link the concertina pattern to the magnetization ripple and discuss the effect of a weak (crystalline or induced) anisotropy.

Jul 12, 2011
Jul 12, 2011
75.70.Kw, 75.60.Ch, 75.60.Jk, 75.60.-d
Magnetics domains in thin films, Magnetic hysteresis, Magnetization reversal mechanisms, Hysteresis in magnetism, Magnetic domains in thin films

Related publications

2012 Repository Open Access
Jutta Steiner, Rudolf Schäfer, Holm Wieczorek, Jeffrey McCord and Felix Otto

Formation and coarsening of the concertina magnetization pattern in elongated thin-film elements

In: Physical review / B, 85 (2012) 10, p. 104407