Electron Number Density and Current Density in One-Dimensional Ballistic Channels

抄録

In terms of the Wigner distribution function, we investigate an idealized one-dimensional model in which scattering potentials in the conducting channel, leads, and reservoirs are treated as a whole without separating them. We find that the electron density oscillates around the scattering potential, and the two-terminal conductance G in our model is quantized, G=2e²⁄h, independent of the transmission coefficient of the electron wave.