Abstract
Abstract Director structures in an infinite slab in the presence of a magnetic field are considered. The director is pinned parallel to the slab faces on one of the faces and is free on the other face. It is shown that when the field is parallel to the direction of pinning, the only stable state is that of a uniform director field. It follows that in ferromagnetic slabs pinned by exchange anisotropy on one side, it is impossible to introduce a multiturn helix by rotation in a uniform magnetic field. A similar result follows for a nematic liquid crystal pinned by the Chatelain method.
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