Low Frequency Quantum Transport in a Three-probe Mesoscopic Conductor

The low frequency quantum transport properties of a three-probe mesoscopic conductor are studied using Büttiker’s AC transport formalism. The static transmission coefficients and emittance matrix of the system were computed by explicitly evaluating the various partial density of states (PDOS). We have investigated the finite size effect of the scattering volume on the global PDOS. By increasing the scattering volume we observed a gradual improvement in the agreement of the total DOS as computed externally or locally. Our numerical data permits a particular fitting form of the finite size effect.