Contribution of the close-to-surface grad( M) to the surface magnetic anisotropy energy in thin films of CdCr 2-2 xIn 2xSe 4

Abstract

We applied spin-waves resonance technique in order to determine the temperature dependence of the surface magnetic anisotropy energy constant for thin films of CdCr 2Se 4 diluted by In. The ∂ n M of the close-to-surface layer contributes to the surface magnetic anisotropy energy originated from the surface demagnetizing field with an anisotropy energy constant K s d = 4π M 2(∂ n M/M) d 2, where d is the thickness of the close-to-surface layer. We have found within the temperature range 4.2–80 K, that K s d is linearly decreasing when the temperature is increasing.