Mathematical modelling of ferromagnetic overlayer with softened exchange surface integral

Abstract

Spin waves theory is one of important concept in surface physics study. Its concept becomes a method to study the low-temperature properties of magnetic materials with ordered magnetic moments. In this study, our scope will be on the discussion of spin wave theory at ferromagnetic overlayer. Green’s function is used to find a mathematical model of simple one overlayer system for ferromagnetic material. From the model, the density of states (DOS) of spin waves is studied according to their exchange interactions at the surface. The surface softened effect will be taken into consideration to see any significant impact on different ratio of surface exchange integral values.