Tunneling through a quantum channel with impurities: An exactly solvable model

The quasi-one-dimensional nanochannel with two attractive impurities are considered theoretically to investigate the electron localization and transmission. We solve the single-electron problem exactly within the short-range interaction and the phase-coherent limit. Consequently, we determine the wave functions and the energy eigenvalues of the special electron states. The special states are the discrete levels in the continuum. thus forming an artificial molecule in the electron waveguide, Further, we derive the analytical expression for the transmission amplitude and present a detailed analysis of the electron transmission through the quantum waveguide. (C) 1999 Elsevier Science B.V. All rights reserved.