Abstract

<p indent="0mm">We use the first-principle method to investigate the crystal structure, electronic structure, and magnetic properties of a Mn-doped MoSe<sub>2</sub> monolayer (Mo<sub>0.75</sub>Mn<sub>0.25</sub>Se<sub>2</sub>). The spin-up electrons exhibit metallic properties, whereas the spin-down electrons exhibit insulating properties, indicating the half-metallic properties of Mo<sub>0.75</sub>Mn<sub>0.25</sub>Se<sub>2</sub>. The density of states shows a strong coupling between dopant Mn 3d orbitals via the Mo 4d and Se 4p states. We investigate the dispersion relation of the spin-spiral energy <italic>E</italic>(<bold>q</bold>) and the wave vector <bold>q</bold> for Mo<sub>0.75</sub>Mn<sub>0.25</sub>Se<sub>2</sub> under the generalized Bloch condition. The exchange coupling coefficient<italic> J</italic><sub><italic>i</italic></sub> (<italic>i</italic> = 1, 2, 3, and 4) is obtained using the Heisenberg interaction model. The next-nearest-neighbor interaction exchange coupling coefficient <italic>J</italic><sub>2</sub> is non-negligible, although the first nearest neighbor, <italic>J</italic><sub>1</sub>, plays the most important role in the interaction between atoms. Because Mo<sub>0.75</sub>Mn<sub>0.25</sub>Se<sub>2</sub> is a two-dimensional (2D) metal material that can easily undergo oxidation, we use insulating MoSe<sub>2</sub> to fabricate a MoSe<sub>2</sub>/Mo<sub>0.75</sub>Mn<sub>0.25</sub>Se<sub>2</sub>/MoSe<sub>2</sub> heterostructure. First-principle calculations results show that the half-metallic ferromagnetic properties of Mo<sub>0.75</sub>Mn<sub>0.25</sub>Se<sub>2</sub> can be protected very well in the heterostructure. The findings of this study can promote the understanding of the mechanism of 2D half-metallic ferromagnetic properties and provide a general method for designing materials that show such properties with stability.

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