A New Definition of Capacitance of Few Electron Systems

摘要

Due to the discreteness of electronic charges in a nanoscale system, capacitance is defined in terms of the total interaction energy of N-electrons confined in a dielectric sphere. Specifically, the distribution of N-electrons is obtained from minimization of the total interaction energy including Coulomb, polarization and the self-polarization terms. And recently, by including the formation energy, the work done on the system, the capacitance agrees with the case when N=1 and N=∞ 1.While Schrodinger equation is crucial in dealing with kinetic energy, it is the Poisson equation that allows properly accounting for spatial symmetry properties resulting from the discrete nature of electrons.