Electronic Spin Susceptibility Of Metallic Superconductive Nano-particles

In this article, we observe the thermodynamic properties of metallic superconductive nano-particles in the grand canonical ensemble, the level distribution and the level correlation between the discrete electronic energy levels are considered to calculate the electronic spin susceptibility of the ensemble numerically. The quantum effect, even-odd effect and others special effects existing in the metallic nano-particles are also studied in this article.We calculated the spin susceptibilities of the normal superconductive nano-particles and the superconductive particles in weak magnetism at the critical temperature using the static path approximation method.Having analyzed the mathematical result, we draw the following conclusions:(1) For the different metallic superconductive particles with even number or odd number, the susceptibility is varied. The result is different from the bulk metal in essence. At low temperature, the distribution of the discrete energy levels has important effects on the susceptibility, at high temperature, the corresponding effects vanishes because the energy levels become continues.(2) For the same size but different spin particles, they have different spin susceptibility at low temperature. At the transfer temperature, they also have different abrupt values.(3) The smaller the particles, the more important the effect of the distribution of the energy levels and the even-odd effect is.