Energy-level statistics of metallic fine particles: Computer simulations

It is believed that metallic fine particles usually have some roughness or irregularity at their surfaces. We investigate how the surface irregularity affects the electronic energy levels by means of computer simulations. For results, we obtain the formula ω∼${\omega }_0$(1-c/$R^{\eta }$) showing the relation between the level-repulsion exponent ω and the parameter R, which stands for the degree of surface irregularity; here ${\omega }_0$≃1.0, η≃2.0, and c is a positive constant. We further discuss the level statistics of actual fine particles in comparison with this formula.