Determination of the domain wall energy from hysteresis loops in YIG

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Abstract
The energy lost by the continuous pinning and depinning of the domain wall as it moves and the energy lost by the formation and destruction of a fraction of the wall surface may be the origin of the losses which find their expression in the hysteresis loop. This new hypothesis, based on Globus' model, allows to calculate the wall energy γ and the pinning force/Experimentally, only a simple measurement of the loop areas is needful to calculate the γ value, which is in very good agreement with theoretical values deduced from the theory of Landau and Lifshits. In addition, the γ values measured are proportional to the global anisotropy of polycrystals K (K = K1 + σn λs), that results in a very small wall thickness (0.07 μm) which is almost constant as a function of T. The connection between the natural stresses σn and the intrinsic properties is confirmed by revealing a relationship between K, K1, and A.