SELF-CONSISTENCY OF MAGNETIC DOMAIN-WALL CALCULATION

Minimum energy states of a rather general domain wall are determined by a set of differential equations. By using these equations, the energy of any of those states is shown to be equal to the value given by an expression that contains second derivatives, and is, therefore, very sensitive to the wall structure. The closeness of the two values can thus be taken as a measure of the closeness of the computed structure to the real energy minimum. This is a generalization of a criterion that has only been used before for 180-degrees walls. Several other cases are treated in detail, and for the particular case of 90-degrees walls, numerical values are given for some published wall structures.