Study On Magnetic Properties Of Three-layer Doped Graphene-like With Six Sublattices

Graphene-like magnetic thin film materials with extraordinary properties are considered to be ideal semiconductor materials,and they have broad prospects in quantum chips.In this paper,two typical graphene like films,“FM-AM-FM”and“FM-FM-FM”,are studied in the framework of Heisenberg model.The diagonalized Hamiltonian of the system is solved by using the linear spin wave theory and the delayed Green’s function method.The effects of exchange coupling interaction,anisotropy and spin quantum number on energy gap,resonance frequency and ground state magnetic moment are discussed based on spectrum theorem and correlation function.It is found that there are six spin spectra,and two energy gaps can be observed in both models.The results show that the exchange coupling interaction and intralayer anisotropy can effectively regulate the size of the system energy gap△ω.△ω₁ increases with the increase of antiferromagnetic exchange coupling and the anisotropy in the second layer.△ω₂ increases with the increase of ferromagnetic exchange coupling and the anisotropy in the first and third layers.The effect of intralayer exchange coupling on energy gap is greater than that of interlayer exchange coupling.In addition,in the discussion of the resonance frequency of spin waves,it is observed that increasing the intralayer exchange interaction and spin quantum number is the key method to improve the resonance frequency f of the system.Among them,the antiferromagnetic exchange coupling is stronger than ferromagnetic exchange coupling.The most obvious changes aref₁ andf₆.The exchange coupling interaction and the intralayer anisotropy of the second layer are the main factors affecting the magnetic moment.In the FM-AM-FM model,changing the interlayer exchange coupling or interlayer anisotropy of any two adjacent layers doesn’t have a significant impact on the sublattice magnetic moment of the other layer.In the FM-FM-FM model,changing the intralayer exchange coupling of the first（third）layer does not have many effects on the sublattices contained in the third（first）layer.In this paper,some physical properties of graphene like structures are compared and discussed,which provide theoretical support for magnetic films in microwave absorption and magnetic regulation.