Magnetic quantum behavior of surface-doped three-layer graphene-like system based on spin wave theory

The spin wave spectra and magnetic moments of a surface-doped graphene-like structure, composed of eight distinct atoms are studied, taking spin quantum number and temperature into account. The results show that the model has a total of eight spin wave spectra and three energy gaps and We note that the magnetic moments intersect at low temperatures, which can be attributed to quantum fluctuations. Therefore, we explore the influence of different magnetic parameters on quantum fluctuations within a three-layer model. The result shows that, in comparison to interlayer exchange coupling, intra-layer exchange coupling has a more pronounced influence on the quantum fluctuation within the three-layer model. Magnetocrystalline anisotropy of different acting forms has opposite effects on quantum fluctuation, The magnetocrystalline anisotropy inside the antiferromagnetic layer has the most obvious effect on the quantum fluctuation of the model. The quantum fluctuation values of the two sublattices in the ferromagnetosphere differ very little. Graphical abstract