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Electron transmission through the impurity band of a mesoscopic semiconductor quantum wire.

The overlap between the states of electrons bound to different shallow impurities randomly distributed along the center of a semiconductor quantum wire leads to an impurity band. The T=0 electron transmission probability through such a band is calculated for a finite length of this disordered quantum channel sandwiched between perfect conductors. For comparison, a density-of-states calculation is made for the finite portion of disordered wire. It is found that transmission probability, in the region of the impurity band, increases both with increasing concentration of donors and decreasing confinement, and decreases with increasing length