ONE-DIMENSIONAL MODEL OF MAGNETIC DOMAIN-WALL WITH SELF-INDUCED ANISOTROPY

A one-dimensional model of the domain wall with a spatially varying ea sy axis angle is presented. First, the easy axis profile is set to the ideal Bloch wall profile, and tile resulting wall profile and wall en ergy are calculated. This procedure of setting the easy axis profile t o the domain wall profile is performed iteratively using numerical tec hniques, At each iteration the wall profile is calculated using energy minimization, A more gradual evolution of the easy axis profile is al so modelled, tilting the easy axis profile towards the domain mall pro file with increasing iteration number. For both the abrupt and the gra dual evolution, the domain mall width continues to increase and domain wall energy continues to decrease with increasing iteration number. E xcept for the initial ideal Bloch! wall, the exchange energy of the wa ll is greater than its anisotropy energy. The depinning held to free t ile pinned wall is also calculated and found to reach an asymptotic va lue of similar or equal to 0.55H(K).