Analytical derivation of spin configuration and intrinsic coercive field of a narrow domain wall

In ferromagnetic materials with narrow domain walls the wall energy depends periodically on the position of the wall centre with respect to the crystal lattice. This gives rise to an intrinsic coercive field. The spatial variation of the wall energy is determined by methods previously applied by Seeger and Schiller to the Peierls potential of dislocations. It is found that the oscillations of the wall energy depend sensitively on the precise spin structure of the domain wall. Therefore an improved micromagnetic treatment of the domain wall was required taking into account fourth‐order terms in the exchange energy.