In this paper, the magnetic properties of ferromagnetic graphene nanostructures, especially the dependence of the magnetism on finite temperature, are investigated by use of the many-body Green’s function method of quantum statistical theory. The spontaneous magnetization increases with spin quantum number, and decreases with temperature. Curie temperature increases with exchange parameter J or the strength K2 of single-ion anisotropy and spin quantum number. The Curie temperature TC is directly proportional to the exchange parameter J. The spin-wave energy drops with temperature rising, and becomes zero as temperature reaches Curie temperature. As J(p,q)=0, ω1=ω2, the spin wave energy is degenerate, and the corresponding vector k=(p, q) is called the Dirac point. This study contributes to theoretical analysis for pristine two-dimensional magnetic nanomaterials that may occur in advanced experiments.
The paper started from the most basic physical law ‘Yang-Laplace equation’, combined with the invariably characteristics of the droplet volume in the Wetting process, established a novel Gravity Model. By numerical simulated, we found that the different of the internal hydrostatic pressure of droplet affected the droplet morphology directly. Otherwise, the paper studied importantly that the droplet gravity generated the pressure on the solid-liquid interface. When the contact angle is more than 172°, the droplet is non-stability in the Cassie states. Only the droplet can keep stability in the Wenzel states.
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