The magnetic properties in low-dimensional dilute magnetic semiconductor system (Sn1−xCoxO2) are studied in the framework of extended Tight Binding Approximation (eTBA). According to the parameters of the solid, we established the Schrödinger equation to a single spin-wave state constructed as a sum of Bloch of atomic-type individual states of creations of spin deviations on a given site. We developed a tight binding interatomic potential that essentially represents the combined effect of direct exchange J and the magneto-crystalline anisotropy Δ. We demonstrated the existence of two kinds of magnons created in volume and in the surface of the Sn1−xCoxO2/SiO2 multilayers. We calculated the excitation spectrum of these two kinds of magnons. The magnetization per spin is also obtained. The calculated values are in very satisfactory agreement with the experimental measurements.
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